Evaluate the integral.dx

A.  + 2(x + 2)-1 + C
B. (x + 2)2 tan-1 2x + ln  + 2(x + 2)-1  + C
C.  + ln  + 2(x + 2)-1  + C
D.  + ln  - 2(x + 2)-1  + C


Answer: C

Mathematics

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Use the information below to determine the indicated set. U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z}(A ? B)'

A. {r, s, t, u, v, w, x, z} B. {t, v, x} C. {r, t, v, x} D. {s, u, w}

Mathematics

Calculate the derivative of the function. Then find the value of the derivative as specified.g(x) = 3x2 - 4x; g '(3)

A. g '(x) = 3x - 4; g '(3) = 5 B. g '(x) = 6x - 4; g '(3) = 14 C. g '(x) = 6x; g '(3) = 18 D. g '(x) = 2x- 4; g '(3) = 2

Mathematics

Find the interval(s) whereis continuous.

What will be an ideal response?

Mathematics

The base of a 52-ft ladder leaning against a wall begins to slide away from the wall. At the instant of time when the base is 48 ft from the wall, the base is moving at the rate of 9 ft/sec. ?  How fast is the top of the ladder sliding down the wall at that instant of time? ? 

A. 20.9 ft/sec B. 21.6 ft/sec C. 26.5 ft/sec D. 17.2 ft/sec

Mathematics