Solve the problem.Find the length of a rectangular lot with a perimeter of 76 meters if the length is 4 meters more than the width. 

A. 42 m
B. 17 m
C. 21 m
D. 38 m


Answer: C

Mathematics

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Find the Taylor series generated by f at x = a.f(x) = x4 + 7x2 - 6x - 9, a = 3

A. (x - 3)4 + 12(x - 3)3 + 61(x - 3)2 + 144(x - 3) + 117 B. (x - 3)4 - 12(x - 3)3 + 61(x - 3)2 + 156(x - 3) - 9 C. (x - 3)4 - 12(x - 3)3 + 61(x - 3)2 + 144(x - 3) + 117 D. (x - 3)4 + 12(x - 3)3 + 61(x - 3)2 + 156(x - 3) - 9

Mathematics

Solve the problem.A ladder x feet long leans against a house and makes an angle ? with the horizontal. The base of the ladder is 10 feet from the house. Then  Use a reciprocal identity to rewrite this formula.

A.
B. 10 sin ?
C.
D. 10 sec ?

Mathematics

Rationalize the denominator. Simplify, if possible.

A.
B.
C.  ? 
D. 1

Mathematics

For the function f and number a, find the function that gives the slope of the secant line, s(x) = , for x ? a. Then describe the behavior of the function values as x approaches a. f(x) = 2x2 - 4; a = -1

A. s(x) = 2(x + 1) for x ? -1; as x ? -1, s(x) ? 2 B. s(x) = 2(x + 1) for x ? -1; as x ? -1, s(x) ? 0 C. s(x) = 2(x - 1) for x ? -1; as x ? -1, s(x) ? -4 D. s(x) = 2(x - 1) for x ? -1; as x ? -1, s(x) ? -8

Mathematics