Solutions for Chapter 13: Vector-Valued Functions and Motion in Space

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

The function y = cos x

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

An angle formed by two intersecting planes,

Arrows that have the same magnitude and direction.

Systems of equations that have the same solution.

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Identity involving a trigonometric function of u/2.

Side opposite the right angle in a right triangle.

ƒ1x2 dx exists.

The kth expression in the sequence

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

The category or number that occurs most frequently in the set.

A set of n objects.

A pair of real numbers (x, y), p. 12.

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

(a + bi) + (c + di) = (a + c) + (b + d)i

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

A point that lies on both the graph and the x-axis,.