- 9-13.R1: Let f(x) = x cos x. Find f (x), observing the derivative of a produ...
- 9-13.R2: Integrate: 5x sin 2x dx
- 9-13.R3: a. Integrate: x3 cos 2x dx b. Integrate: e4x sin 3x dx c. Integrate...
- 9-13.R4: a. Integrate by parts once to express cos30 x dx in terms of an int...
- 9-13.R5: a. Integrate without reduction formula: cos5 x dx b. Integrate with...
- 9-13.R6: a. Integrate: dx b. Integrate: dx c. Integrate: dx d. Using the fun...
- 9-13.R7: For parts ad, integrate:e. Differential Equation Problem: Figure 9-...
- 9-13.R8: a. Sketch the graph: y = cos1 x b. Differentiate: f(x) = sec1 3x c....
- 9-13.R9: a. Sketch the graph: f(x) = sinh x b. Sketch the graph: g(x) = cosh...
- 9-13.R10: a. Evaluate: (x 2)1.2 dx b. Evaluate: tan x dx c. Evaluate: x2/3 dx...
- 9-13.R11: a. Differentiate: f(x) = x sin1 x b. Integrate: x sin1 x dx c. Diff...
- 9-13.R12: Explain why (9 x2)1/2 dx has an inverse sine in the answer but (9 x...
- 9-13.C1: Integral of sech x Problem: Derive the formula sech x dx = sin1(tan...
- 9-13.C2: Integral of csch x Problem: Derive the formula You can transform th...
- 9-13.C3: Another Integral of csc x: Derive the formula Confirm that the form...
- 9-13.C4: Another Definition of Problem: Figure 9-13c shows the region under ...
- 9-13.C5: Upper Bound Problem: Figure 9-13d shows the graphs of f(x) = ln x a...
Solutions for Chapter 9-13: Chapter Review and Test
Full solutions for Calculus: Concepts and Applications | 2nd Edition
See Inverse cosecant function.
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively
A logarithm with base 10.
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers
Interest compounded using the formula A = Pert
Constant of variation
See Power function.
A degree 3 polynomial function
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)
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
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
Two lines that are at right angles to each other
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.
Re-expression of data
A transformation of a data set.
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,
A circle with radius 1 centered at the origin.