Solve.The daily profit in dollars of a specialty cake shop is described by the function  where x is the number of cakes prepared in one day. How many cakes are prepared per day if the company has a daily profit of zero dollars?

A. 16 cakes or 40 cakes
B. 28 cakes
C. 18 cakes or 37 cakes
D. 864 cakes


Answer: A

Mathematics

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Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. 

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B. converges, 
C. converges, 7
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Solve. Write the solution set using set-builder notation and using interval notation. Graph the solution set. a - 10 < -21

A. {aa > -11}; (-11, ?)

B. {aa ? -11}; [-11, ?)

C. {aa < -11}; (-?, -11)

D. {aa ? -11}; (-?, -11]

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Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region bounded by y = 5x - x2 and y = x about the y-axis

A. 64?
B. 32?
C. ?
D. ?

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Ten full crates of walnuts weigh 390 pounds, whereas an empty crate weighs 5 pounds. How much do the walnuts alone weigh? ?   __________ pounds ?

Fill in the blank(s) with the appropriate word(s).

Mathematics