Find the x- and y-intercepts.f(x) = x2 + 20x + 100

A. (100, 0), (0, -10)
B. (100, 0), (0, 10)
C. (10, 0), (0, 100)
D. (-10, 0), (0, 100)


Answer: D

Mathematics

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Evaluate the integral.

A.  [3 sin 3x + 5 cos 3x] + C
B.  [3 e5x sin 3x + 5 cos 3x] + C
C.  [3 sin 3x - 5 cos 3x] + C
D.  [ sin 3x + cos 3x] + C

Mathematics

An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

a.
b.
c.
d.
e.

Mathematics

Solve the problem.Find C(x) if C'(x) = 5x2 - 7x + 4 and C(6) = 260.

A. C(x) = x3 - x2 + 4x - 260
B. C(x) = x3 - x2 + 4x + 2
C. C(x) = x3 - x2 + 4x + 260
D. C(x) = x3 - x2 + 4x - 2

Mathematics

An expression that occurs in calculus is given. Factor completely.(2x + 1)2 + 3(2x + 1) - 4

A. 2x - 6 B. 2x(2x + 1) C. 2x(2x + 5) D. 2x - 1

Mathematics