 6.7.1: Suppose a 1m cylindrical bar has a constant density of 1 g>cm for ...
 6.7.2: Explain how to find the mass of a onedimensional object with a var...
 6.7.3: How much work is required to move an object from x = 0 to x = 5 (me...
 6.7.4: Why is integration used to find the work done by a variable force?
 6.7.5: Why is integration used to find the work required to pump water out...
 6.7.6: Why is integration used to find the total force on the face of a dam?
 6.7.7: What is the pressure on a horizontal surface with an area of 2 m2 t...
 6.7.8: Explain why you integrate in the vertical direction (parallel to th...
 6.7.9: 916. Mass of onedimensional objects Find the mass of the following...
 6.7.10: 916. Mass of onedimensional objects Find the mass of the following...
 6.7.11: 916. Mass of onedimensional objects Find the mass of the following...
 6.7.12: 916. Mass of onedimensional objects Find the mass of the following...
 6.7.13: 916. Mass of onedimensional objects Find the mass of the following...
 6.7.14: 916. Mass of onedimensional objects Find the mass of the following...
 6.7.15: 916. Mass of onedimensional objects Find the mass of the following...
 6.7.16: 916. Mass of onedimensional objects Find the mass of the following...
 6.7.17: Work from force How much work is required to move an object from x ...
 6.7.18: Work from force How much work is required to move an object from x ...
 6.7.19: Compressing and stretching a spring Suppose a force of 30 N is requ...
 6.7.20: Compressing and stretching a spring Suppose a force of 15 N is requ...
 6.7.21: Work done by a spring A spring on a horizontal surface can be stret...
 6.7.22: Shock absorber A heavyduty shock absorber is compressed 2 cm from ...
 6.7.23: Calculating work for different springs Calculate the work required ...
 6.7.24: Calculating work for different springs Calculate the work required ...
 6.7.25: Calculating work for different springs Calculate the work required ...
 6.7.26: Work function A spring has a restoring force given by F 1x2 = 25x. ...
 6.7.27: Emptying a swimming pool A swimming pool has the shape of a box wit...
 6.7.28: Emptying a cylindrical tank A cylindrical water tank has height 8 m...
 6.7.29: Emptying a halffull cylindrical tank Suppose the water tank in Exe...
 6.7.30: Emptying a partially filled swimming pool If the water in the swimm...
 6.7.31: Emptying a conical tank A water tank is shaped like an inverted con...
 6.7.32: Emptying a real swimming pool A swimming pool is 20 m long and 10 m...
 6.7.33: Filling a spherical tank A spherical water tank with an inner radiu...
 6.7.34: Emptying a water trough A water trough has a semicircular cross sec...
 6.7.35: Emptying a water trough A cattle trough has a trapezoidal cross sec...
 6.7.36: Pumping water Suppose the tank in Example 4 is full of water (rathe...
 6.7.37: Emptying a conical tank An inverted cone is 2 m high and has a base...
 6.7.38: 3841. Force on dams The following figures show the shape and dimens...
 6.7.39: 3841. Force on dams The following figures show the shape and dimens...
 6.7.40: 3841. Force on dams The following figures show the shape and dimens...
 6.7.41: 3841. Force on dams The following figures show the shape and dimens...
 6.7.42: Parabolic dam The lower edge of a dam is defined by the parabola y ...
 6.7.43: Orientation and force A plate shaped like an isosceles triangle wit...
 6.7.44: Force on the end of a tank Determine the force on a circular end of...
 6.7.45: Force on a building A large building shaped like a box is 50 m high...
 6.7.46: The window is a square, 0.5 m on a side, with the lower edge of the...
 6.7.47: The window is a square, 0.5 m on a side, with the lower edge of the...
 6.7.48: The window is a circle, with a radius of 0.5 m, tangent to the bott...
 6.7.49: Explain why or why not Determine whether the following statements a...
 6.7.50: Mass of two bars Two bars of length L have densities r11x2 = 4ex a...
 6.7.51: A nonlinear spring Hookes law is applicable to idealized (linear) s...
 6.7.52: A vertical spring A 10kg mass is attached to a spring that hangs v...
 6.7.53: Drinking juice A glass has circular cross sections that taper (line...
 6.7.54: Upper and lower half A cylinder with height 8 m and radius 3 m is f...
 6.7.55: Work in a gravitational field For large distances from the surface ...
 6.7.56: Work by two different integrals A rigid body with a mass of 2 kg mo...
 6.7.57: Winding a chain A 30mlong chain hangs vertically from a cylinder ...
 6.7.58: Coiling a rope A 60mlong, 9.4mmdiameter rope hangs free from a ...
 6.7.59: Lifting a pendulum A body of mass m is suspended by a rod of length...
 6.7.60: Orientation and force A plate shaped like an equilateral triangle 1...
 6.7.61: Orientation and force A square plate 1 m on a side is placed on a v...
 6.7.62: A caloriefree milkshake? Suppose a cylindrical glass with a diamet...
 6.7.63: Critical depth A large tank has a plastic window on one wall that i...
 6.7.64: Buoyancy Archimedes principle says that the buoyant force exerted o...
Solutions for Chapter 6.7: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 6.7
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 64 problems in chapter 6.7 have been answered, more than 60657 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Chapter 6.7 includes 64 full stepbystep solutions.

Base
See Exponential function, Logarithmic function, nth power of a.

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Compounded annually
See Compounded k times per year.

Correlation coefficient
A measure of the strength of the linear relationship between two variables, pp. 146, 162.

Empty set
A set with no elements

Horizontal translation
A shift of a graph to the left or right.

Irrational zeros
Zeros of a function that are irrational numbers.

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Mode of a data set
The category or number that occurs most frequently in the set.

Outcomes
The various possible results of an experiment.

Pythagorean identities
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

Regression model
An equation found by regression and which can be used to predict unknown values.

RRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the righthand end point of each subinterval.

Slant asymptote
An end behavior asymptote that is a slant line

Statute mile
5280 feet.

Symmetric about the origin
A graph in which (x, y) is on the the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

Vertex of a cone
See Right circular cone.

Xmin
The xvalue of the left side of the viewing window,.

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