Essential Calculus (Available Titles CengageNOW) 1st Edition - Solutions by Chapter

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

See Component form of a vector.

(f ? g) (x) = f (g(x))

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

Arrows that have the same magnitude and direction.

See Radical.

A statement that compares two quantities using an inequality symbol

See Derivative at x = a.

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

The middle number (or the mean of the two middle numbers) if the data are listed in order.

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

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.

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

The standard deviation computed using only a sample of the entire population.

The function y = sec x.

A number that measures a quantitative variable for a sample from a population.

See Angle.

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.