Calculus: Early Transcendentals, 10th Edition - Solutions by Chapter

See Bearing.

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

The set of values of the variable for which both sides of the identity are defined

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

See Shrink, stretch.

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

Angle measure equal to 1/60 of a degree.

Real numbers shown to the right of the origin on a number line.

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

A horizontal line that represents the set of real numbers.

See Complex number.

x, y and (-x,-y) are reflections of each other through the origin.

The limit of ƒ as x approaches a from the right.

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

The function y = sin x.

To find all solutions of a system.

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