Integrate by first changing the form of the integrand.Integrate
by first changing the form of the integrand by algebraic division.
A. e2x - ln(1 + e2x) + C
B. 
e2x - 
ln(1 + e2x) + C
C. 
e2x ln(1 + e2x) + C
D. 
e2x - 
+ C
Answer: B
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Set up an integral for the length of the curve.y = 
, - 
? x ? 
A. 
B. 
C. 
D. 
Solve the equation. Give the exact solution.9x = 81(3x - 2)
A. - 
B. 
C. 
D. 1
Solve the problem.Suppose the monthly cost for manufacturing bar stools is C(x) = 529 + 23x, where x is the number of bar stools produced each month. Find and interpret the marginal cost for the product.
A. $529 per bar stool; Manufacturing one additional bar stool decreases the cost by $529. B. $23 per bar stool; Manufacturing one additional bar stool increases the cost by $23. C. $529 per bar stool; Manufacturing one additional bar stool increases the cost by $529. D. $23 per bar stool; Manufacturing one additional bar stool decreases the cost by $23.
Find the vertices and locate the foci for the hyperbola whose equation is given.
- 
= 1
A. vertices: (-5, 0), (5, 0) foci: (- 13, 0), (13, 0) B. vertices: (0, -12), (0, 12) foci: (- 13, 0), (13, 0) C. vertices: (-12, 0), (12, 0) foci: (-5, 0), (5, 0) D. vertices: (-12, 0), (12, 0) foci: (- 13, 0), (13, 0)