Find the integral.
A. 3x3 + 30x - x-1 + C
B. x4 + 25 ln
+ C
C. x2 + 5 ln
+ C
D. 3x3 + 15x - x-1 + C
Answer: C
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Find the flux of the curl of field F through the shell S.F = -6x2yi + 6xy2j + ln zk ; S: r(r, ?) = r cos ?i + r sin ?j + 4rk, 0 ? r ? 4 and 0 ? ? ? 2?
A. 256 B. 256? C. - 256 D. - 768?
Solve the problem.A rectangular piece of cardboard measuring 15 inches by 29 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.
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Find f(x) at the indicated value of x.f(x) = -4x + 9, x = 0
A. -4 B. 9 C. 0 D. 5
Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.Find cot A when b = 5 and c = 6.
A.
B.
C.
D.