 913.R1: Let f(x) = x cos x. Find f (x), observing the derivative of a produ...
 913.R2: Integrate: 5x sin 2x dx
 913.R3: a. Integrate: x3 cos 2x dx b. Integrate: e4x sin 3x dx c. Integrate...
 913.R4: a. Integrate by parts once to express cos30 x dx in terms of an int...
 913.R5: a. Integrate without reduction formula: cos5 x dx b. Integrate with...
 913.R6: a. Integrate: dx b. Integrate: dx c. Integrate: dx d. Using the fun...
 913.R7: For parts ad, integrate:e. Differential Equation Problem: Figure 9...
 913.R8: a. Sketch the graph: y = cos1 x b. Differentiate: f(x) = sec1 3x c....
 913.R9: a. Sketch the graph: f(x) = sinh x b. Sketch the graph: g(x) = cosh...
 913.R10: a. Evaluate: (x 2)1.2 dx b. Evaluate: tan x dx c. Evaluate: x2/3 dx...
 913.R11: a. Differentiate: f(x) = x sin1 x b. Integrate: x sin1 x dx c. Diff...
 913.R12: Explain why (9 x2)1/2 dx has an inverse sine in the answer but (9 x...
 913.C1: Integral of sech x Problem: Derive the formula sech x dx = sin1(tan...
 913.C2: Integral of csch x Problem: Derive the formula You can transform th...
 913.C3: Another Integral of csc x: Derive the formula Confirm that the form...
 913.C4: Another Definition of Problem: Figure 913c shows the region under ...
 913.C5: Upper Bound Problem: Figure 913d shows the graphs of f(x) = ln x a...
Solutions for Chapter 913: Chapter Review and Test
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 913: Chapter Review and Test
Get Full SolutionsSince 17 problems in chapter 913: Chapter Review and Test have been answered, more than 21483 students have viewed full stepbystep solutions from this chapter. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Chapter 913: Chapter Review and Test includes 17 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Arccosecant function
See Inverse cosecant function.

Cofunction identity
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

Common logarithm
A logarithm with base 10.

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Compounded continuously
Interest compounded using the formula A = Pert

Constant of variation
See Power function.

Cubic
A degree 3 polynomial function

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Geometric series
A series whose terms form a geometric sequence.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Logarithmic form
An equation written with logarithms instead of exponents

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Perpendicular lines
Two lines that are at right angles to each other

Quadric surface
The graph in three dimensions of a seconddegree equation in three variables.

Range of a function
The set of all output values corresponding to elements in the domain.

Reexpression of data
A transformation of a data set.

Real number
Any number that can be written as a decimal.

Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n  12d4,

Unit circle
A circle with radius 1 centered at the origin.