Differentiate.f(x) = ln(ex? tan 2x)Enter your answer without parentheses or labels, no multiplication dot.
Fill in the blank(s) with the appropriate word(s).
2 sec 2x csc 2x + 1
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Find the indicated derivative. Assume that x is restricted so that ln is defined.f' 
if f(x) = -ln(cos x)
A. 1
B. - 
C. - 
D. 
Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 18 - x2 and y = x2, with density ?(x) = x2
A. 
= 0, 
= 9
B. 
= 0, 
= 
C. 
= 9, 
= 0
D. 
= 0, 
= 18
Two sides and an angle are given. First, determine whether the given information results in no triangle, one triangle, or two triangles. Solve each resulting triangle.A = 30°, a = 22, b = 44
A. no triangle B. one triangle; B = 90°, C = 60°, c = 38.1 C. one triangle; B = 60°, C = 60°, c = 38.1 D. one triangle; B = 60°, C = 90°, c = 38.1
Solve the problem.A 24-oz package of coffee costs $4.35. Find the unit price in cents per ounce. Round to the nearest thousandth of a cent.
A. 5.517 cents/oz B. 18.125 cents/oz C. 0.181 cents/oz D. 1.813 cents/oz