Differential Equations with Boundary-Value Problems 7th Edition - Solutions by Chapter

See Magnitude of a vector.

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

See Inverse cosecant function.

An angle whose vertex is the center of a circle

The largest exponent on the variable in any of the terms of the polynomial (function)

a b = aa 1 b b, b Z 0

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Notation used to specify intervals, pp. 4, 5.

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

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

A variable (in statistics) that takes on numerical values for a characteristic being measured.

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

See Division algorithm for polynomials.

A transformation that leaves the basic shape of a graph unchanged.

Ratio change in y/change in x

a + bi, where a and b are real numbers

(ƒ + g)(x) = ƒ(x) + g(x)

The range elements of a sequence.

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.

The points (0, y, z) in Cartesian space.