Use any method to evaluate the integral.

A. sin x - sec x + C
B. cos x + C
C. cos x + sec x + C
D.  + C


Answer: C

Mathematics

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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.r(t) = (cot t)i + (csc t)jFind the velocity vector.

A. v(t) = (-sec2 t)i - (tan t sec t)j B. v(t) = (sec2 t)i + (tan t sec t)j C. v(t) = (csc2 t)i + (cot t csc t)j D. v(t) = (-csc2 t)i - (cot t csc t)j

Mathematics

For the given functions f and g, find the requested composite function value.f(x) = , g(x) = x2 + 9;Find (g ? f)(-2).

A.
B.
C. 25
D. 13

Mathematics

Find the center (h, k) and radius r of the circle with the given equation. x2 + y2 - 4x + 8y = 29

A. (h, k) = (-2, 4); r = 49 B. (h, k) = (-4, 2); r = 7 C. (h, k) = (4, -2); r = 49 D. (h, k) = (2, -4); r = 7

Mathematics

Solve the equation and check your solution. = 

A. 1 B. 2 C. -2 D. no solution

Mathematics