- 11.T1: PART 1: No calculators allowed (T1T4) Complete the equations.a. Wor...
- 11.T2: PART 1: No calculators allowed (T1T4)Find the work done in dragging...
- 11.T3: PART 1: No calculators allowed (T1T4)An object of mass 200 g is at ...
- 11.T4: PART 1: No calculators allowed (T1T4) A circle of radius 7 cm in th...
- 11.T5: PART 2: Graphing calculators allowed (T5T9) A packing case is dragg...
- 11.T6: PART 2: Graphing calculators allowed (T5T9) For the region under th...
- 11.T7: PART 2: Graphing calculators allowed (T5T9) A solid is formed by ro...
- 11.T8: PART 2: Graphing calculators allowed (T5T9) A trough 8 ft deep and ...
- 11.T9: PART 2: Graphing calculators allowed (T5T9) heater in the Round Pro...
Solutions for Chapter 11: The Calculus of Variable-Factor Products
Full solutions for Calculus: Concepts and Applications | 2nd Edition
An equation that relates variable quantities associated with phenomena being studied
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)
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 z-components of the vector, respectively)
A sample that sacrifices randomness for convenience
See Cartesian coordinate system.
Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists
An identity involving a trigonometric function of u - v
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.
Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.
See Component form of a vector.
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.
a + 0 = a, a ? 1 = a
kth term of a sequence
The kth expression in the sequence
The diagonal from the top left to the bottom right of a square matrix
Matrix, m x n
A rectangular array of m rows and n columns of real numbers
Multiplicative inverse of a matrix
See Inverse of a matrix
The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).
Reflection across the y-axis
x, y and (-x,y) are reflections of each other across the y-axis.
The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.