Calculus with Applications 10th Edition - Solutions by Chapter

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

An identity involving a trigonometric function of 2u

A set with no elements

Vectors with the same magnitude and direction.

An equation that can be written in the form.

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

See Complex plane.

The function y = cos-1 x

The line for which the sum of the squares of the residuals is the smallest possible

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

For a basic trigonometric function f, an identity relating f(x) to f(-x).

A set of parametric equations for a curve.

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

A graph of a polar equation or r = a cos nu.

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

a + bi, where a and b are real numbers

If a = b, then b = a

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.