Calculus: Early Transcendentals 3rd Edition - Solutions by Chapter

The acute angle formed by the line of sight (upward) and the horizontal

The argument of a + bi is the direction angle of the vector {a,b}.

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

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)

A statement that describes a bounded interval, such as 3 ? x < 5

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

See Inverse of a matrix

See Linear correlation.

The measure of acidity

The vector <a,b>.

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

An angle in standard position whose terminal side lies on an axis.

x, y and (-x,y) are reflections of each other across the y-axis.

A solution.

The set of all solutions of an inequality

A set of points in Cartesian space equally distant from a fixed point called the center.

A test for determining whether a graph is a function.