Evaluate the integral by using a substitution prior to integration by parts.
A. ln (5x + 5x2) - 2x + C
B. ln (5x + 5x2) + ln (x +1) + C
C. xln (5x + 5x2) + C
D. xln (5x + 5x2) + ln (x +1) - 2x + C
Answer: D
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Solve the problem.A bakery plans to market a mixed assortment of its two most popular cookies: Chocolate Chip and Toffee Chunk. Their marketing analyst proposes that the new assortment be constrained by the inequality where C is the number of Chocolate Chip cookies and T is the number of Toffee Chunk cookies. Their sales analyst suggests in order to offer a reasonably priced product the assortment should be constrained by the inequality
The number of each type of cookie cannot be negative, so
alt="" style="vertical-align: -4.0px;" /> and Graph the region satisfying all the requirements for the assortment using C as the horizontal axis and T as the vertical axis. Does the combination of 1 Chocolate Chip cookies and 7 Toffee Chunk cookies satisfy all of the requirements?
A. ; No
B. ; No
C.
; Yes
D. ; Yes
Find the probability.A card is dealt from a 52-card deck. What is the probability of not being dealt a queen?
A.
B.
C.
D.
A large number of female llama were studied. It was found that this species of llama has a mean gestation period of 350 days with a standard deviation of 11 days. (Gestation period is defined as the time from conception to birth.) Use this to information to solve the problem.Find the following. a) ? - 3? b) ? - 2? c) ? - ? d) ? e) ? + ? f) ? + 2? g) ? + 3?
What will be an ideal response?
Solve the problem.From a 24-inch by 24-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x.
A. V(x) = 2x3 - 72x2 B. V(x) = 2x3 - 72x2 + 24x C. V(x) = 4x3 - 96x2 + 576x D. V(x) = 4x3 - 96x2