Vector Calculus 4th Edition - Solutions by Chapter

See Polynomial function

The function y = csc x

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

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Connected subset of the real number line with at least two points, p. 4.

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

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

The inverse of the exponential function y = bx, denoted by y = logb x

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Two vectors u and v with u x v = 0.

A procedure for fitting a quadratic function to a set of data.

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

A logarithmic scale used in measuring the intensity of an earthquake.

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

The point of intersection of a parabola and its line of symmetry.

Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.