Vector Calculus 4th Edition - Solutions by Chapter

A matrix that represents a system of equations.

The change in position divided by the change in time.

A stemplot with leaves on either side used to compare two distributions.

A polynomial with exactly two terms

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

The left side of u(v + w) = uv + uw.

The function y = tan-1 x

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

A local maximum or a local minimum

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

A measure of the typical, middle, or average value for a data set

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

A function that assigns real-number values to the outcomes in a sample space.

y = mx + b

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

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

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.

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.