 7.7.6.1: Solve the differential equation.dy dx y x
 7.7.1.1: Find the area of the shaded region.
 7.1: (a) Draw two typical curves and , where S for . Show how to approxi...
 7.7.3.1: Let be the solid obtained by rotating the region shown in the figur...
 7.7.4.1: Use the arc length formula (3) to find the length of the n 10 curve...
 7.7.5.1: A particle is moved along the axis by a force that x 1 x 2 measure...
 7.7.6.2: Solve the differential equation.dy dx sx e y
 7.7.1.2: Find the area of the shaded region.
 7.2: Suppose that Sue runs faster than Kathy throughout a 1500meter rac...
 7.7.2.2: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.2: Let be the solid obtained by rotating the region shown in the figur...
 7.7.4.2: Use the arc length formula to find the length of the curve , . Chec...
 7.7.5.2: work is done in moving the particle from to ? Interpret your answer...
 7.7.6.3: Solve the differential equation.x sin x 2 1y xy dy
 7.7.1.3: Find the area of the shaded region.
 7.3: Suppose that Sue runs faster than Kathy throughout a 1500meter rac...
 7.7.2.3: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.3: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.3: Find the length of the curve.y 1 6x 0 x 1 3
 7.7.5.3: Shown is the graph of a force function (in newtons) that increases ...
 7.7.6.4: Solve the differential equation.y y 2 x sin x 2
 7.7.1.4: Find the area of the shaded region.
 7.4: (a) What is the volume of a cylindrical shell? (b) Explain how to u...
 7.7.2.4: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.4: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.4: Find the length of the curve.y 0 x 2 y 0 2 4x 4 3 y
 7.7.5.4: The table shows values of a force function where is measured in met...
 7.7.6.5: Solve the differential equation.1 tan yy x 2 1 y y
 7.7.1.5: Sketch the region enclosed by the given curves. Decide whether to i...
 7.5: (a) How is the length of a curve defined? (b) Write an expression f...
 7.7.2.5: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.5: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.5: Find the length of the curve.y 1 x 2 x 5 6 1 10x 3 y
 7.7.5.5: A force of 10 lb is required to hold a spring stretched 4 in. beyon...
 7.7.5.6: A spring has a natural length of 20 cm. If a 25N force is required...
 7.7.6.6: Solve the differential equation.dy d ey sin2 y sec 1
 7.7.1.6: Sketch the region enclosed by the given curves. Decide whether to i...
 7.6: Suppose that you push a book across a 6meterlong table by exertin...
 7.7.2.6: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.6: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.6: Find the length of the curve.y 2 x 4 x 2 2 ln x 4 y
 7.7.5.7: Suppose that 2 J of work is needed to stretch a spring from its nat...
 7.7.6.7: Solve the differential equation.du dt 2 2u t tu dy
 7.7.1.7: Sketch the region enclosed by the given curves. Decide whether to i...
 7.7: Describe how we can find the hydrostatic force against a vertical w...
 7.7.2.7: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.7: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.7: Find the length of the curve.x 1 y 9 1 7. 3 sy y 3 y 2
 7.7.5.8: If 6 J of work is needed to stretch a spring from 10 cm to 12 cm an...
 7.7.6.8: Solve the differential equation.dz dt e 8. tz 0 du
 7.7.1.8: Sketch the region enclosed by the given curves. Decide whether to i...
 7.8: (a) What is the physical significance of the center of mass of a th...
 7.7.2.8: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.8: Let be the volume of the solid obtained by rotating about the axis...
 7.7.4.8: Find the length of the curve.y lncos x 0 x 3 x
 7.7.5.9: Show how to approximate the required work by a Riemann sum. Then ex...
 7.7.6.9: du dt 2t sec2 t 2u 9. u0 5du
 7.7.1.9: Sketch the region enclosed by the given curves. Decide whether to i...
 7.9: What does the Theorem of Pappus say?
 7.7.2.9: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.9: Use the method of cylindrical shells to find the volume of the soli...
 7.7.4.9: Find the length of the curve.9. y lnsec x 0 x 4 y
 7.7.5.10: A chain lying on the ground is 10 m long and its mass is 80 kg. How...
 7.7.6.10: dy dx y cos x 1 y 2 u
 7.7.1.10: Sketch the region enclosed by the given curves. Decide whether to i...
 7.10: (a) What is a differential equation? (b) What is the order of a dif...
 7.7.2.10: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.10: Use the method of cylindrical shells to find the volume of the soli...
 7.7.4.10: Find the length of the curve.y ln x 1 x s3 9
 7.7.5.11: A cable that weighs is used to lift 800 lb of coal up a mine shaft ...
 7.7.6.11: x cos x 2y e y0 0 3y y
 7.7.1.11: Sketch the region enclosed by the given curves. Decide whether to i...
 7.11: What is a direction field for the differential equation ?
 7.7.2.11: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.11: Use the method of cylindrical shells to find the volume of the soli...
 7.7.4.11: Find the length of the curve.y cosh x 0 x 1 y
 7.7.5.12: A bucket that weighs 4 lb and a rope of negligible weight are used ...
 7.7.6.12: dP dt sPt P1 2 dP
 7.7.1.12: Sketch the region enclosed by the given curves. Decide whether to i...
 7.12: What is a separable differential equation? How do you solve it?
 7.7.2.12: Find the volume of the solid obtained by rotating the region bounde...
 7.7.3.12: Use the method of cylindrical shells to find the volume of the soli...
 7.7.4.12: Find the length of the curve.y 0 y 2 2 4x y
 7.7.5.13: A leaky 10kg bucket is lifted from the ground to a height of 12 m ...
 7.7.6.13: P1 2 dP
 7.7.1.13: Sketch the region enclosed by the given curves. Decide whether to i...
 7.13: Find the volumes of the solids obtained by rotating the region boun...
 7.7.2.13: The region enclosed by the curves and is rotated about the line . F...
 7.7.3.13: Use the method of cylindrical shells to find the volume of the soli...
 7.7.4.13: Find the length of the curve.y e 0 x 1 x y
 7.7.5.14: A 10ft chain weighs 25 lb and hangs from a ceiling. Find the work ...
 7.7.6.14: P1 2 dPP1 2 dP P1 2 dP
 7.7.1.14: Sketch the region enclosed by the given curves. Decide whether to i...
 7.14: Let be the region in the first quadrant bounded by the curves and ....
 7.7.2.14: Find the volume of the solid obtained by rotating the region in Exe...
 7.7.3.14: Use the method of cylindrical shells to find the volume of the soli...
 7.7.4.14: Find the length of the curve.y ln a x b a 0 ex 1 ex 1 y
 7.7.5.15: An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find...
 7.7.6.15: Find an equation of the curve that satisfies and whose intercept i...
 7.7.1.15: Sketch the region enclosed by the given curves. Decide whether to i...
 7.15: Let be the region bounded by the curves , and . Use the Midpoint Ru...
 7.7.2.15: Set up, but do not evaluate, an integral for the volume of the soli...
 7.7.3.15: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.15: Set up, but do not evaluate, an integral for the length of the curv...
 7.7.5.16: A circular swimming pool has a diameter of 24 ft, the sides are 5 f...
 7.7.6.16: Find an equation of the curve that passes through the point and who...
 7.7.1.16: Sketch the region enclosed by the given curves. Decide whether to i...
 7.16: Let be the region bounded by the curves and . Estimate the followin...
 7.7.2.16: Set up, but do not evaluate, an integral for the volume of the soli...
 7.7.3.16: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.16: Set up, but do not evaluate, an integral for the length of the curv...
 7.7.5.17: The tank shown is full of water. (a) Find the work required to pump...
 7.7.6.17: (a) Solve the differential equation . ; (b) Solve the initialvalue...
 7.7.1.17: Use a graph to find approximate coordinates of the points of inter...
 7.17: Each integral represents the volume of a solid. Describe the solid....
 7.7.2.17: Use a graph to find approximate coordinates of the points of inter...
 7.7.3.17: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.17: Set up, but do not evaluate, an integral for the length of the curv...
 7.7.5.18: The hemispherical tank shown is full of water. Given that water wei...
 7.7.6.18: Solve the equation and graph several members of the family of solut...
 7.7.1.18: Use a graph to find approximate coordinates of the points of inter...
 7.18: Each integral represents the volume of a solid. Describe the solid....
 7.7.2.18: Use a graph to find approximate coordinates of the points of inter...
 7.7.3.18: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.18: Set up, but do not evaluate, an integral for the length of the curv...
 7.7.5.19: When gas expands in a cylinder with radius , the pressure at any gi...
 7.7.6.19: Solve the initialvalue problem , , and graph the solution (if your...
 7.7.1.19: Use a graph to find approximate coordinates of the points of inter...
 7.19: Each integral represents the volume of a solid. Describe the solid....
 7.7.2.19: Use a computer algebra system to find the exact volume of the solid...
 7.7.3.19: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.19: Use Simpsons Rule with to estimate the arc length of the curve. Com...
 7.7.5.20: In a steam engine the pressure and volume of steam satisfy the equa...
 7.7.6.20: Solve the equation and graph several members of the family of solut...
 7.7.1.20: Use a graph to find approximate coordinates of the points of inter...
 7.20: Each integral represents the volume of a solid. Describe the solid....
 7.7.2.20: Use a computer algebra system to find the exact volume of the solid...
 7.7.3.20: Use the method of cylindrical shells to find the volume generated b...
 7.7.4.20: Use Simpsons Rule with to estimate the arc length of the curve. Com...
 7.7.5.21: (a) Newtons Law of Gravitation states that two bodies with masses a...
 7.7.6.21: Match the differential equation with its direction field (labeled I...
 7.7.1.21: Sketch the region that lies between the curves and and between and ...
 7.21: The base of a solid is a circular disk with radius 3. Find the volu...
 7.7.2.21: Each integral represents the volume of a solid. Describe the solid....
 7.7.3.21: Set up, but do not evaluate, an integral for the volume of the soli...
 7.7.4.21: Use Simpsons Rule with to estimate the arc length of the curve. Com...
 7.7.5.22: (a) Use an improper integral and information from Exercise 21 to fi...
 7.7.6.22: Match the differential equation with its direction field (labeled I...
 7.7.1.22: Graph the curves and on a common screen and observe that the region...
 7.22: The base of a solid is the region bounded by the parabolas and . Fi...
 7.7.2.22: Each integral represents the volume of a solid. Describe the solid....
 7.7.3.22: Set up, but do not evaluate, an integral for the volume of the soli...
 7.7.4.22: Use Simpsons Rule with to estimate the arc length of the curve. Com...
 7.7.5.23: A vertical plate is submerged in water and has the indicated shape....
 7.7.6.23: Match the differential equation with its direction field (labeled I...
 7.7.1.23: Racing cars driven by Chris and Kelly are side by side at the start...
 7.23: The height of a monument is 20 m. A horizontal crosssection at a di...
 7.7.2.23: A CAT scan produces equally spaced crosssectional views of a human...
 7.7.3.23: Set up, but do not evaluate, an integral for the volume of the soli...
 7.7.4.23: Use either a computer algebra system or a table of integrals to fin...
 7.7.5.24: A vertical plate is submerged in water and has the indicated shape....
 7.7.6.24: Match the differential equation with its direction field (labeled I...
 7.7.1.24: Two cars, A and B, start side by side and accelerate from rest. The...
 7.24: (a) The base of a solid is a square with vertices located at 1, 0, ...
 7.7.2.24: A log 10 m long is cut at 1meter intervals and its crosssectional ...
 7.7.3.24: Set up, but do not evaluate, an integral for the volume of the soli...
 7.7.4.24: Use either a computer algebra system or a table of integrals to fin...
 7.7.5.25: A vertical plate is submerged in water and has the indicated shape....
 7.7.6.25: Use field II to sketch the graphs of the solutions that satisfy the...
 7.7.1.25: The widths (in meters) of a kidneyshaped swimming pool were measur...
 7.7.2.25: A right circular cone with height and base radius r
 7.7.3.25: Set up, but do not evaluate, an integral for the volume of the soli...
 7.7.4.25: Sketch the curve with equation and use symmetry to find its length.
 7.7.5.26: A vertical plate is submerged in water and has the indicated shape....
 7.7.6.26: Use field IV to sketch the graphs of the solutions that satisfy the...
 7.7.1.26: A crosssection of an airplane wing is shown. Measurements of the h...
 7.26: Find the length of the curve.y 2 ln(sin 3 x 1
 7.7.2.26: A frustum of a right circular cone with height , lower base radius ...
 7.7.3.26: Set up, but do not evaluate, an integral for the volume of the soli...
 7.7.4.26: (a) Sketch the curve . (b) Use Formulas 3 and 4 to set up two integ...
 7.7.5.27: A trough is filled with a liquid of density 840 kgm . The ends of t...
 7.7.6.27: Sketch a direction field for the differential equation. Then use it...
 7.7.1.27: If the birth rate of a population is people per year and the death ...
 7.27: Use Simpsons Rule with to estimate the length of the curve , .
 7.7.2.27: A cap of a sphere with radius and height h
 7.7.3.27: Use the Midpoint Rule with to estimate the volume obtained by rotat...
 7.7.4.27: Find the arc length function for the curve with starting point .
 7.7.5.28: A large tank is designed with ends in the shape of the region betwe...
 7.7.6.28: Sketch a direction field for the differential equation. Then use it...
 7.7.1.28: A water storage tank has the shape of a cylinder with diameter 10 f...
 7.28: Find the length of the curve 1 sst 1 dt yy y 1 x 16 x 1
 7.7.2.28: A frustum of a pyramid with square base of side , square top of sid...
 7.7.3.28: (a) If the region shown in the figure is rotated about the axis to...
 7.7.4.28: (a) Graph the curve , . (b) Find the arc length function for this c...
 7.7.5.29: A swimming pool is 20 ft wide and 40 ft long and its bottom is an i...
 7.7.6.29: Sketch the direction field of the differential equation. Then use i...
 7.7.1.29: Find the area of the crescentshaped region (called a lune) bounded...
 7.29: A force of 30 N is required to maintain a spring stretched from its...
 7.7.2.29: A pyramid with height and rectangular base with dimensions and
 7.7.3.29: Each integral represents the volume of a solid. Describe the solid....
 7.7.4.29: A hawk flying at at an altitude of 180 m accidentally drops its pre...
 7.7.5.30: A vertical dam has a semicircular gate as shown in the figure. Find...
 7.7.6.30: Sketch the direction field of the differential equation. Then use i...
 7.7.1.30: Sketch the region in the plane defined by the inequalities , and f...
 7.30: A 1600lb elevator is suspended by a 200ft cable that weighs 10 lb...
 7.7.2.30: A pyramid with height and base an equilateral triangle with side (a...
 7.7.3.30: Each integral represents the volume of a solid. Describe the solid....
 7.7.4.30: A steady wind blows a kite due west. The kites height above ground ...
 7.7.5.31: A vertical, irregularly shaped plate is submerged in water. The tab...
 7.7.6.31: Sketch the direction field of the differential equation. Then use i...
 7.7.1.31: Find the values of such that the area of the region bounded by the ...
 7.31: A tank full of water has the shape of a paraboloid of revolution as...
 7.7.2.31: A tetrahedron with three mutually perpendicular faces and three mut...
 7.7.3.31: Each integral represents the volume of a solid. Describe the solid....
 7.7.4.31: A manufacturer of corrugated metal roofing wants to produce panels ...
 7.7.5.32: Pointmasses are located on the axis as shown. Find the moment of ...
 7.7.6.32: Sketch the direction field of the differential equation. Then use i...
 7.7.1.32: Find the area of the region bounded by the parabola , the tangent l...
 7.32: A trough is filled with water and its vertical ends have the shape ...
 7.7.2.32: The base of is a circular disk with radius . Parallel crosssections...
 7.7.3.32: Each integral represents the volume of a solid. Describe the solid....
 7.7.4.32: The curves with equations , , , ,..., are called fat circles. Graph...
 7.7.5.33: The masses are located at the points . Find the moments and and the...
 7.7.6.33: Psychologists interested in learning theory study learning curves. ...
 7.7.1.33: Find the number such that the line divides the region bounded by th...
 7.33: A gate in an irrigation canal is constructed in the form of a trape...
 7.7.2.33: The base of is an elliptical region with boundary curve . Crosssec...
 7.7.3.33: The region bounded by the given curves is rotated about the specifi...
 7.7.5.34: The masses are located at the points . Find the moments and and the...
 7.7.6.34: A sphere with radius 1 m has temperature . It lies inside a concent...
 7.7.1.34: (a) Find the number such that the line bisects the area under the c...
 7.34: Find the centroid of the region shown.
 7.7.2.34: The base of is the parabolic region . Crosssections perpendicular ...
 7.7.3.34: The region bounded by the given curves is rotated about the specifi...
 7.7.5.35: Sketch the region bounded by the curves, and visually estimate the ...
 7.7.6.35: A glucose solution is administered intravenously into the bloodstre...
 7.7.1.35: Find a positive continuous function such that the area under the gr...
 7.35: Find the centroid of the region bounded by the given curves.y 4 x y...
 7.7.2.35: S has the same base as in Exercise 34, but crosssections perpendic...
 7.7.3.35: The region bounded by the given curves is rotated about the specifi...
 7.7.5.36: Sketch the region bounded by the curves, and visually estimate the ...
 7.7.6.36: A certain small country has $10 billion in paper currency in circul...
 7.7.1.36: Suppose that . For what value of is the area of the region enclosed...
 7.36: Find the centroid of the region bounded by the given curves.y sin x...
 7.7.2.36: The base of is the triangular region with vertices , , and . Cross...
 7.7.3.36: The region bounded by the given curves is rotated about the specifi...
 7.7.5.37: Sketch the region bounded by the curves, and visually estimate the ...
 7.7.6.37: Write the solution of the logistic initialvalue problem and use it...
 7.7.1.37: For what values of do the line and the curve enclose a region? Find...
 7.37: Find the volume obtained when the circle of radius 1 with center is...
 7.7.2.37: S has the same base as in Exercise 36, but crosssections perpendic...
 7.7.3.37: The region bounded by the given curves is rotated about the specifi...
 7.7.5.38: Sketch the region bounded by the curves, and visually estimate the ...
 7.7.6.38: The Pacific halibut fishery has been modeled by the differential eq...
 7.38: Use the Theorem of Pappus and the fact that the volume of a sphere ...
 7.7.2.38: The base of is a circular disk with radius . Parallel crosssections...
 7.7.3.38: The region bounded by the given curves is rotated about the specifi...
 7.7.5.39: Find the centroid of the region bounded by the given curves. y sx y...
 7.7.6.39: One model for the spread of a rumor is that the rate of spread is p...
 7.39: Solve the differential equation3y 1 t x tx 2 2yy x cos x x y s
 7.7.2.39: Some of the pioneers of calculus, such as Kepler and Newton, were i...
 7.7.3.39: A sphere of radius r
 7.7.5.40: Find the centroid of the region bounded by the given curves. y x 2 ...
 7.7.6.40: Biologists stocked a lake with 400 fish of one species and estimate...
 7.40: Solve the differential equationdx dt 3y 1 t x tx 2 2y
 7.7.2.40: (a) A model for the shape of a birds egg is obtained by rotating ab...
 7.7.3.40: The solid torus of Exercise 41 in Section 7.2
 7.7.5.41: Find the centroid of the region bounded by the given curves. 41. y ...
 7.7.6.41: (a) Show that if satisfies the logistic equation (7), then (b) Dedu...
 7.41: Solve the initialvalue problem.dr dt 2tr r dr0 5 dr
 7.7.2.41: (a) Set up an integral for the volume of a solid torus (the donuts...
 7.7.3.41: A right circular cone with height and base radius r
 7.7.5.42: Find the centroid of the region bounded by the given curves. y x y ...
 7.7.6.42: For a fixed value of (say ), the family of logistic functions given...
 7.42: Solve the initialvalue problem.1 cos xy 1 e y0 0 y sin x
 7.7.2.42: A wedge is cut out of a circular cylinder of radius 4 by two planes...
 7.7.3.42: Suppose you make napkin rings by drilling holes with different diam...
 7.7.5.43: Calculate the moments and and the center of mass of a lamina with t...
 7.7.6.43: A tank contains 1000 L of brine with 15 kg of dissolved salt. Pure ...
 7.43: (a) Sketch a direction field for the differential equation . Then u...
 7.7.2.43: (a) Cavalieris Principle states that if a family of parallel planes...
 7.7.3.43: Use the following steps to prove Formula 2 for the case where is on...
 7.7.5.44: Calculate the moments and and the center of mass of a lamina with t...
 7.7.6.44: The air in a room with volume contains carbon dioxide initially. Fr...
 7.44: Let be the region bounded by , , and , where . Let be the region bo...
 7.7.2.44: Find the volume common to two circular cylinders, each with radius ...
 7.7.5.45: Prove that the centroid of any triangle is located at the point of ...
 7.7.6.45: A vat with 500 gallons of beer contains 4% alcohol (by volume). Bee...
 7.7.2.45: Find the volume common to two spheres, each with radius , r if the ...
 7.7.5.46: Find the centroid of the region shown, not by integration, but by l...
 7.7.6.46: A tank contains 1000 L of pure water. Brine that contains 0.05 kg o...
 7.7.2.46: A bowl is shaped like a hemisphere with diameter 30 cm. A ball with...
 7.7.5.47: Use the Theorem of Pappus to find the volume of the given solid. A ...
 7.7.6.47: When a raindrop falls, it increases in size and so its mass at time...
 7.7.2.47: A hole of radius is bored through a cylinder of radius at right ang...
 7.7.5.48: Use the Theorem of Pappus to find the volume of the given solid. A ...
 7.7.6.48: An object of mass is moving horizontally through a CAS medium which...
 7.7.2.48: A hole of radius is bored through the center of a sphere of radius ...
 7.7.5.49: Use the Theorem of Pappus to find the volume of the given solid. A ...
 7.7.6.49: Let be the area of a tissue culture at time and let be the final ar...
 7.7.5.50: Use the Theorem of Pappus to find the volume of the given solid.
 7.7.6.50: According to Newtons Law of Universal Gravitation, the gravitationa...
 7.7.5.51: Prove Formulas 13.
 7.7.5.52: Let be the region that lies between the curves and , , where and ar...
Solutions for Chapter 7: APPLICATIONS OF INTEGRATION
Full solutions for Essential Calculus (Available Titles CengageNOW)  1st Edition
ISBN: 9780495014423
Solutions for Chapter 7: APPLICATIONS OF INTEGRATION
Get Full SolutionsEssential Calculus (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780495014423. Chapter 7: APPLICATIONS OF INTEGRATION includes 304 full stepbystep solutions. Since 304 problems in chapter 7: APPLICATIONS OF INTEGRATION have been answered, more than 16252 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Essential Calculus (Available Titles CengageNOW), edition: 1. This expansive textbook survival guide covers the following chapters and their solutions.

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Census
An observational study that gathers data from an entire population

Chord of a conic
A line segment with endpoints on the conic

Circle
A set of points in a plane equally distant from a fixed point called the center

Constraints
See Linear programming problem.

Descriptive statistics
The gathering and processing of numerical information

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Exponent
See nth power of a.

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

General form (of a line)
Ax + By + C = 0, where A and B are not both zero.

Irrational zeros
Zeros of a function that are irrational numbers.

Line graph
A graph of data in which consecutive data points are connected by line segments

Monomial function
A polynomial with exactly one term.

Pie chart
See Circle graph.

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Quadratic regression
A procedure for fitting a quadratic function to a set of data.

Unit circle
A circle with radius 1 centered at the origin.

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

Zero of a function
A value in the domain of a function that makes the function value zero.