 7.1: A toy car slides down a ramp and coasts to a stop after 5 sec. Its ...
 7.2: The fuel consumption of a diesel motor between weekly maintenance p...
 7.3: The number of billboards per mile along a 100mile stretch of an in...
 7.4: A 2meter rod has a variable density modeled by the function r!x" !...
 7.5: The electrical power consumption (measured in kilowatts) at a facto...
 7.6: In Exercises 619, find the area of the region enclosed by the lines...
 7.7: In Exercises 619, find the area of the region enclosed by the lines...
 7.8: In Exercises 619, find the area of the region enclosed by the lines...
 7.9: In Exercises 619, find the area of the region enclosed by the lines...
 7.10: In Exercises 619, find the area of the region enclosed by the lines...
 7.11: In Exercises 619, find the area of the region enclosed by the lines...
 7.12: In Exercises 619, find the area of the region enclosed by the lines...
 7.13: In Exercises 619, find the area of the region enclosed by the lines...
 7.14: In Exercises 619, find the area of the region enclosed by the lines...
 7.15: In Exercises 619, find the area of the region enclosed by the lines...
 7.16: In Exercises 619, find the area of the region enclosed by the lines...
 7.17: In Exercises 619, find the area of the region enclosed by the lines...
 7.18: In Exercises 619, find the area of the region enclosed by the lines...
 7.19: In Exercises 619, find the area of the region enclosed by the lines...
 7.20: Find the volume of the solid generated by revolving the region boun...
 7.21: The section of the parabola y ! x2 #2 from y ! 0 to y ! 2 is revolv...
 7.22: The profile of a football resembles the ellipse shown here (all dim...
 7.23: The profile of a football resembles the ellipse shown here (all dim...
 7.24: The base of a solid is the region enclosed between the graphs of y ...
 7.25: The region enclosed by the graphs of y ! ex#2, y ! 1, and x ! ln 3 ...
 7.26: A round hole of radius "#3 feet is bored through the center of a sp...
 7.27: Find the length of the arch of the parabola y ! 9 " x2 that lies ab...
 7.28: Find the perimeter of the bowtieshaped region enclosed between th...
 7.29: A particle travels at 2 units per second along the curve y ! x3 " 3...
 7.30: One of the following statements is true for all k % 0 and one is fa...
 7.31: Let F&x' ! !x 1 "t#4#"#1 dt. Find the exact length of the graph of ...
 7.32: A rock climber is about to haul up 100 N (about 22.5 lb) of equipme...
 7.33: You drove an 800gallon tank truck from the base of Mt. Washington ...
 7.34: If a force of 80 N is required to hold a spring 0.3 m beyond its un...
 7.35: It takes a lot more effort to roll a stone up a hill than to roll t...
 7.36: A hemispherical bowl with radius 8 inches is filled with punch (wei...
 7.37: The vertical triangular plate shown below is the end plate of a fee...
 7.38: A standard olive oil can measures 5.75 in. by 3.5 in. by 10 in. Fin...
 7.39: A solid lies between planes perpendicular to the xaxis at x ! 0 an...
 7.40: A researcher measures the lengths of 3yearold yellow perch in a f...
 7.41: Using as large a sample of classmates as possible, measure the span...
 7.42: (a) Verify that for every normal pdf, the proportion of the populat...
 7.43: Explain why the area under the graph of a probability density funct...
 7.44: In Exercises 4448, use the cylindrical shell method to find the vol...
 7.45: In Exercises 4448, use the cylindrical shell method to find the vol...
 7.46: In Exercises 4448, use the cylindrical shell method to find the vol...
 7.47: In Exercises 4448, use the cylindrical shell method to find the vol...
 7.48: In Exercises 4448, use the cylindrical shell method to find the vol...
 7.49: A bundt cake (see Exploration 1, Section 7.3) has a hole of radius ...
 7.50: Find a function f that has a continuous derivative on !0, " and tha...
 7.51: In Exercises 51 and 52, find the area of the surface generated by r...
 7.52: In Exercises 51 and 52, find the area of the surface generated by r...
 7.53: Let R be the region in the first quadrant enclosed by the yaxis an...
 7.54: The temperature outside a house during a 24hour period is given by...
 7.55: The rate at which people enter an amusement park on a given day is ...
Solutions for Chapter 7: Calculus: Graphical, Numerical, Algebraic 3rd Edition
Full solutions for Calculus: Graphical, Numerical, Algebraic  3rd Edition
ISBN: 9780132014083
Solutions for Chapter 7
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780132014083. Chapter 7 includes 55 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Graphical, Numerical, Algebraic, edition: 3. Since 55 problems in chapter 7 have been answered, more than 4527 students have viewed full stepbystep solutions from this chapter.

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Cotangent
The function y = cot x

Directed line segment
See Arrow.

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

End behavior asymptote of a rational function
A polynomial that the function approaches as.

Endpoint of an interval
A real number that represents one “end” of an interval.

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Frequency distribution
See Frequency table.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Independent events
Events A and B such that P(A and B) = P(A)P(B)

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Principle of mathematical induction
A principle related to mathematical induction.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Right triangle
A triangle with a 90° angle.

Subtraction
a  b = a + (b)

Terminal point
See Arrow.