 8.3.1: Draw a picture to show that n2 1 n1.3y 1 1 x1.3 dxWhat can you conc...
 8.3.2: Suppose is a continuous positive decreasing function for and . By d...
 8.3.3: Suppose and are series with positive terms and is known to be conve...
 8.3.4: Suppose and are series with positive terms and is known to be diver...
 8.3.5: It is important to distinguish betweenandWhat name is given to the ...
 8.3.6: Use the Integral Test to determine whether the series is convergent...
 8.3.7: Use the Integral Test to determine whether the series is convergent...
 8.3.8: Use the Integral Test to determine whether the series is convergent...
 8.3.9: Use the Comparison Test to determine whether the series is converge...
 8.3.10: Use the Comparison Test to determine whether the series is converge...
 8.3.11: Determine whether the series is convergent or divergent. n1 2 n0.85
 8.3.12: Determine whether the series is convergent or divergent. n1.4 3n1.2
 8.3.13: Determine whether the series is convergent or divergent.1 1 81 271 ...
 8.3.14: Determine whether the series is convergent or divergent. 1 2s2 1 3s...
 8.3.15: Determine whether the series is convergent or divergent.
 8.3.16: Determine whether the series is convergent or divergent.
 8.3.17: Determine whether the series is convergent or divergent.
 8.3.18: Determine whether the series is convergent or divergent.
 8.3.19: Determine whether the series is convergent or divergent.
 8.3.20: Determine whether the series is convergent or divergent.
 8.3.21: Determine whether the series is convergent or divergent.
 8.3.22: Determine whether the series is convergent or divergent.
 8.3.23: Determine whether the series is convergent or divergent.1 1 31 51 71 9
 8.3.24: Determine whether the series is convergent or divergent.1 51 81 111...
 8.3.25: Determine whether the series is convergent or divergent.
 8.3.26: Determine whether the series is convergent or divergent.
 8.3.27: Determine whether the series is convergent or divergent.
 8.3.28: Determine whether the series is convergent or divergent.
 8.3.29: Determine whether the series is convergent or divergent.
 8.3.30: Determine whether the series is convergent or divergent.
 8.3.31: Find the values of for which the following series is convergent. n2...
 8.3.32: (a) Find the partial sum of the series . Estimate the error in usin...
 8.3.33: (a) Use the sum of the rst 10 terms to estimate the sum of the seri...
 8.3.34: Find the sum of the series correct to three decimal places.
 8.3.35: Estimate correct to ve decimal places.
 8.3.36: How many terms of the series would you need to add to nd its sum to...
 8.3.37: Use the sum of the rst 10 terms to approximate the sum of the serie...
 8.3.38: Use the sum of the rst 10 terms to approximate the sum of the serie...
 8.3.39: (a) Use a graph of to show that if is the partial sum of the harmon...
 8.3.40: Show that if we want to approximate the sum of the series so that t...
 8.3.41: The meaning of the decimal representation of a number (where the di...
 8.3.42: Show that if and is convergent, then is convergent.
 8.3.43: If is a convergent series with positive terms, is it true that is a...
 8.3.44: Find all positive values of for which the series converges.
 8.3.45: Show that if and then is divergent.
 8.3.46: Find all values of for which the following series converges. n1c n1...
Solutions for Chapter 8.3: THE INTEGRAL AND COMPARISON TESTS; ESTIMATING SUMS
Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)  4th Edition
ISBN: 9780495559726
Solutions for Chapter 8.3: THE INTEGRAL AND COMPARISON TESTS; ESTIMATING SUMS
Get Full SolutionsSingle Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. Chapter 8.3: THE INTEGRAL AND COMPARISON TESTS; ESTIMATING SUMS includes 46 full stepbystep solutions. Since 46 problems in chapter 8.3: THE INTEGRAL AND COMPARISON TESTS; ESTIMATING SUMS have been answered, more than 20595 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

Addition principle of probability.
P(A or B) = P(A) + P(B)  P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

Addition property of inequality
If u < v , then u + w < v + w

Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles

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)

Elimination method
A method of solving a system of linear equations

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

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Inverse cosine function
The function y = cos1 x

Inverse cotangent function
The function y = cot1 x

Measure of an angle
The number of degrees or radians in an angle

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Multiplicative inverse of a matrix
See Inverse of a matrix

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Range screen
See Viewing window.

Resolving a vector
Finding the horizontal and vertical components of a vector.

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

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