 7.1: Evaluate the integral.
 7.2: Evaluate the integral.
 7.3: Evaluate the integral.
 7.4: Evaluate the integral.
 7.5: Evaluate the integral.
 7.6: Evaluate the integral.
 7.7: Evaluate the integral.
 7.8: Evaluate the integral.
 7.9: Evaluate the integral.
 7.10: Evaluate the integral.
 7.11: Evaluate the integral.
 7.12: Evaluate the integral.
 7.13: Evaluate the integral.
 7.14: Evaluate the integral.
 7.15: Evaluate the integral.
 7.16: Evaluate the integral.
 7.17: Evaluate the integral.
 7.18: Evaluate the integral.
 7.19: Evaluate the integral.
 7.20: Evaluate the integral.
 7.21: Evaluate the integral.
 7.22: Evaluate the integral.
 7.23: Evaluate the integral.
 7.24: Evaluate the integral.
 7.25: Evaluate the integral.
 7.26: Evaluate the integral.
 7.27: Evaluate the integral.
 7.28: Evaluate the integral.
 7.29: Evaluate the integral.
 7.30: Evaluate the integral.
 7.31: Evaluate the integral.
 7.32: Evaluate the integral.
 7.33: Evaluate the integral.
 7.34: Evaluate the integral.
 7.35: Evaluate the integral.
 7.36: Evaluate the integral.
 7.37: Evaluate the integral.
 7.38: Evaluate the integral.
 7.39: Evaluate the integral.
 7.40: Evaluate the integral.
 7.41: Evaluate the integral or show that it is divergent
 7.42: Evaluate the integral or show that it is divergent
 7.43: Evaluate the integral or show that it is divergent
 7.44: Evaluate the integral or show that it is divergent
 7.45: Evaluate the integral or show that it is divergent
 7.46: Evaluate the integral or show that it is divergent
 7.47: Evaluate the integral or show that it is divergent
 7.48: Evaluate the integral or show that it is divergent
 7.49: Evaluate the integral or show that it is divergent
 7.50: Evaluate the integral or show that it is divergent
 7.51: Evaluate the indeinite integral. Illustrate and check that your ans...
 7.52: Evaluate the indeinite integral. Illustrate and check that your ans...
 7.53: Graph the function fsxd cos2 x sin3 x and use the graph to guess th...
 7.54: (a) How would you evaluate y x 5 e 22x dx by hand? (Dont actually c...
 7.55: Use the Table of Integrals on the Reference Pages to evaluate the i...
 7.56: Use the Table of Integrals on the Reference Pages to evaluate the i...
 7.57: Use the Table of Integrals on the Reference Pages to evaluate the i...
 7.58: Use the Table of Integrals on the Reference Pages to evaluate the i...
 7.59: Verify Formula 33 in the Table of Integrals (a) by differentiation ...
 7.60: Verify Formula 62 in the Table of Integrals.
 7.61: Is it possible to ind a number n such that y ` 0 x n dx is convergent?
 7.62: For what values of a is y ` 0 e ax cos x dx convergent? Evaluate th...
 7.63: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 7.64: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 7.65: Estimate the errors involved in Exercise 63, parts (a) and (b). How...
 7.66: Use Simpsons Rule with n 6 to estimate the area under the curve y e...
 7.67: The speedometer reading (v) on a car was observed at 1minute inter...
 7.68: A population of honeybees increased at a rate of rstd bees per week...
 7.69: (a) If fsxd sinssin xd, use a graph to ind an upper bound for  f s...
 7.70: Suppose you are asked to estimate the volume of a football. You mea...
 7.71: Use the Comparison Theorem to determine whether the integral is con...
 7.72: Find the area of the region bounded by the hyperbola y 2 2 x 2 1 an...
 7.73: Find the area bounded by the curves y cos x and y cos2 x between x ...
 7.74: Find the area of the region bounded by the curves y 1ys2 1 sx d, y ...
 7.75: The region under the curve y cos2 x, 0 < x < y2, is rotated about t...
 7.76: The region in Exercise 75 is rotated about the yaxis. Find the vol...
 7.77: If f9 is continuous on f0, `d and limx l ` fsxd 0, show that y ` 0 ...
 7.78: We can extend our deinition of average value of a continuous functi...
 7.79: Use the substitution u 1yx to show that y ` 0 ln x 1 1 x 2 dx 0
 7.80: The magnitude of the repulsive force between two point charges with...
Solutions for Chapter 7: Calculus: Early Transcendentals 8th Edition
Full solutions for Calculus: Early Transcendentals  8th Edition
ISBN: 9781285741550
Solutions for Chapter 7
Get Full SolutionsChapter 7 includes 80 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 8. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781285741550. Since 80 problems in chapter 7 have been answered, more than 7371 students have viewed full stepbystep solutions from this chapter.

Cotangent
The function y = cot x

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

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

Frequency distribution
See Frequency table.

Graphical model
A visible representation of a numerical or algebraic model.

Heron’s formula
The area of ¢ABC with semiperimeter s is given by 2s1s  a21s  b21s  c2.

Imaginary unit
The complex number.

Inverse composition rule
The composition of a onetoone function with its inverse results in the identity function.

Inverse cosine function
The function y = cos1 x

Irrational numbers
Real numbers that are not rational, p. 2.

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Positive angle
Angle generated by a counterclockwise rotation.

Quartic regression
A procedure for fitting a quartic function to a set of data.

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

Sequence
See Finite sequence, Infinite sequence.

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Slant asymptote
An end behavior asymptote that is a slant line

Solve a system
To find all solutions of a system.

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Vertical translation
A shift of a graph up or down.