- 9-1.1: Find the approximate volume of the solid in Figure 9-1a by numerica...
- 9-1.2: Let f(x) = x sin x. Use the derivative of a product formula to find...
- 9-1.3: Multiply both sides of the equation for (x) in by dx. Then integrat...
- 9-1.4: The integral x cos x dx should be one term in the equation of 3. Us...
- 9-1.5: Use the result of to find the exact volume of the solid in Figure 9...
- 9-1.6: Find a decimal approximation for the exact volume in 5. How close d...
- 9-1.7: The technique of this exercise is called integration by parts. Why ...
Solutions for Chapter 9-1: Introduction to the Integral of a Product of Two Functions
Full solutions for Calculus: Concepts and Applications | 2nd Edition
Solutions for Chapter 9-1: Introduction to the Integral of a Product of Two FunctionsGet Full Solutions
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively
equation of a hyperbola
(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1
Sum of a finite number of terms.
Focal length of a parabola
The directed distance from the vertex to the focus.
Inverse cosine function
The function y = cos-1 x
See Power function.
The graph of parametric equations.
Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)
Present value of an annuity T
he net amount of your money put into an annuity.
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.
Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random
A function that assigns real-number values to the outcomes in a sample space.
Re-expression of data
A transformation of a data set.
Reciprocal of a real number
See Multiplicative inverse of a real number.
A real number.
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.
A set of points in Cartesian space equally distant from a fixed point called the center.
Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,
A matrix A = [aij] with the property aij = aji for all i and j
Union of two sets A and B
The set of all elements that belong to A or B or both.
Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or email@example.com
Forgot password? Reset it here