 9.3.1: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.2: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.3: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.4: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.5: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.6: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.7: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.8: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.9: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.10: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.11: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.12: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.13: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.14: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.15: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.16: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.17: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.18: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.19: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.20: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.21: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.22: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.23: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.24: In Exercises 124, confirm that the Integral Test can be applied to ...
 9.3.25: In Exercises 25 and 26, use the Integral Test to determine the conv...
 9.3.26: In Exercises 25 and 26, use the Integral Test to determine the conv...
 9.3.27: In Exercises 2730, explain why the Integral Test does not apply to ...
 9.3.28: In Exercises 2730, explain why the Integral Test does not apply to ...
 9.3.29: In Exercises 2730, explain why the Integral Test does not apply to ...
 9.3.30: In Exercises 2730, explain why the Integral Test does not apply to ...
 9.3.31: In Exercises 3134, use the Integral Test to determine the convergen...
 9.3.32: In Exercises 3134, use the Integral Test to determine the convergen...
 9.3.33: In Exercises 3134, use the Integral Test to determine the convergen...
 9.3.34: In Exercises 3134, use the Integral Test to determine the convergen...
 9.3.35: In Exercises 3542, use Theorem 9.11 to determine the convergence or...
 9.3.36: In Exercises 3542, use Theorem 9.11 to determine the convergence or...
 9.3.37: In Exercises 3542, use Theorem 9.11 to determine the convergence or...
 9.3.38: In Exercises 3542, use Theorem 9.11 to determine the convergence or...
 9.3.39: In Exercises 3542, use Theorem 9.11 to determine the convergence or...
 9.3.40: In Exercises 3542, use Theorem 9.11 to determine the convergence or...
 9.3.41: In Exercises 3542, use Theorem 9.11 to determine the convergence or...
 9.3.42: In Exercises 3542, use Theorem 9.11 to determine the convergence or...
 9.3.43: In Exercises 43 48, match the series with the graph of its sequence...
 9.3.44: In Exercises 43 48, match the series with the graph of its sequence...
 9.3.45: In Exercises 43 48, match the series with the graph of its sequence...
 9.3.46: In Exercises 43 48, match the series with the graph of its sequence...
 9.3.47: In Exercises 43 48, match the series with the graph of its sequence...
 9.3.48: In Exercises 43 48, match the series with the graph of its sequence...
 9.3.49: Use a graphing utility to find the indicated partial sum and comple...
 9.3.50: Because the harmonic series diverges, it follows that for any posit...
 9.3.51: State the Integral Test and give an example of its use
 9.3.52: Define a series and state the requirements for its convergence.
 9.3.53: A friend in your calculus class tells you that the following series...
 9.3.54: In Exercises 4348, for each series, but they do not all converge. I...
 9.3.55: Let be a positive, continuous, and decreasing function for such tha...
 9.3.56: Use a graph to show that the inequality is true. What can you concl...
 9.3.57: In Exercises 5762, find the positive values of for which the series...
 9.3.58: In Exercises 5762, find the positive values of for which the series...
 9.3.59: In Exercises 5762, find the positive values of for which the series...
 9.3.60: In Exercises 5762, find the positive values of for which the series...
 9.3.61: In Exercises 5762, find the positive values of for which the series...
 9.3.62: In Exercises 5762, find the positive values of for which the series...
 9.3.63: In Exercises 6366, use the result of Exercise 57 to determine the c...
 9.3.64: In Exercises 6366, use the result of Exercise 57 to determine the c...
 9.3.65: In Exercises 6366, use the result of Exercise 57 to determine the c...
 9.3.66: In Exercises 6366, use the result of Exercise 57 to determine the c...
 9.3.67: Let f be a positive, continuous, and decreasing function for such t...
 9.3.68: Show that the result of Exercise 67 can be written as N n1 an n1 an...
 9.3.69: In Exercises 6974, use the result of Exercise 67 to approximate the...
 9.3.70: In Exercises 6974, use the result of Exercise 67 to approximate the...
 9.3.71: In Exercises 6974, use the result of Exercise 67 to approximate the...
 9.3.72: In Exercises 6974, use the result of Exercise 67 to approximate the...
 9.3.73: In Exercises 6974, use the result of Exercise 67 to approximate the...
 9.3.74: In Exercises 6974, use the result of Exercise 67 to approximate the...
 9.3.75: In Exercises 7580, use the result of Exercise 67 to find such that ...
 9.3.76: In Exercises 7580, use the result of Exercise 67 to find such that ...
 9.3.77: In Exercises 7580, use the result of Exercise 67 to find such that ...
 9.3.78: In Exercises 7580, use the result of Exercise 67 to find such that ...
 9.3.79: In Exercises 7580, use the result of Exercise 67 to find such that ...
 9.3.80: In Exercises 7580, use the result of Exercise 67 to find such that ...
 9.3.81: (a) Show that converges and diverges. (b) Compare the first five te...
 9.3.82: Ten terms are used to approximate a convergent series. Therefore, t...
 9.3.83: Let (a) Show that (b) Show that the sequence is bounded. (c) Show t...
 9.3.84: Find the sum of the series n2 ln 1 1 n2 .
 9.3.85: Consider the series (a) Determine the convergence or divergence of ...
 9.3.86: The Riemann zeta function for real numbers is defined for all for w...
 9.3.87: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.88: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.89: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.90: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.91: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.92: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.93: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.94: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.95: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.96: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.97: In Exercises 8798, determine the convergence or divergence of the s...
 9.3.98: In Exercises 8798, determine the convergence or divergence of the s...
Solutions for Chapter 9.3: The Integral Test and pSeries
Full solutions for Calculus  9th Edition
ISBN: 9780547167022
Solutions for Chapter 9.3: The Integral Test and pSeries
Get Full SolutionsChapter 9.3: The Integral Test and pSeries includes 98 full stepbystep solutions. Since 98 problems in chapter 9.3: The Integral Test and pSeries have been answered, more than 67460 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus , edition: 9. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780547167022.

Branches
The two separate curves that make up a hyperbola

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Complements or complementary angles
Two angles of positive measure whose sum is 90°

Convenience sample
A sample that sacrifices randomness for convenience

Coterminal angles
Two angles having the same initial side and the same terminal side

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Exponent
See nth power of a.

Higherdegree polynomial function
A polynomial function whose degree is ? 3

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

Imaginary part of a complex number
See Complex number.

Interquartile range
The difference between the third quartile and the first quartile.

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Period
See Periodic function.

Phase shift
See Sinusoid.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Rational zeros
Zeros of a function that are rational numbers.

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.

yintercept
A point that lies on both the graph and the yaxis.