Find the average rate of change of the function as x changes from a to b.f(x) = -x3; a = -1, b = 5

A. 21
B. -29
C. -21
D. 31


Answer: C

Mathematics

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Evaluate the line integral along the curve C.ds , C is the curve r(t) = (2t5 cos t)i + (2t5 sin t)j + 2t5k , 0 ? t ? 5

A. (4 + )
B. (4 - )
C. (4 - )
D. 0

Mathematics

Solve the equation.3x + 23 = 2x + 100

A. 77 B. 76 C. 125 D. 123

Mathematics

Factor the polynomial completely.15x2 + 4xy - 4y2

A. (15x + 2y)(x - 2y) B. (3x + 2y)(5x - 2y) C. (3x - 2y)(5x + 2y) D. prime

Mathematics

Graph each system of inequalities and shade the portion on the graph represented by the solution set.x + 2y ? 2x + y ? 0

A.

B.

C.

D.

Mathematics