Solve the problem.Let D be the region that is bounded below by the cone  and above by the sphere  Set up the triple integral for the volume of D in cylindrical coordinates.

A.
B.
C.
D.


Answer: C

Mathematics

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Find the extreme values of the function subject to the given constraint.  

A. Maximum: none; minimum:   at  
B. Maximum: none; minimum: 2 at  
C. Maximum: none; minimum:   at  
D. Maximum: none; minimum:   at  

Mathematics

Solve.The Mystery TV show demonstrated just how complex and involving TV storytelling could be. The bar graph shows the number of viewers in the series opening episodes. The number of viewers of the opening episodes of The Mystery, V, in millions, can be described by themathematical model V = -n2 + 9n - 5, where n is the season number. Use the formula to find the number of viewers of the opening episode of season 6. Does the mathematical model underestimate or overestimate the actual number of viewers shown by the bar graph? By how many million?

A. 13 million; underestimates by 0.4 million B. 85 million; overestimates by 98.4 million C. 37 million; underestimates by 23.6 million D. 13 million; overestimates by 0.4 million

Mathematics

Solve the formula for the indicated variable.I = Prtfor r

A. r = P - It
B. r = 
C. r = 
D. r = 

Mathematics

Factor completely. State that the polynomial is prime if it cannot be factored.x4 - 256

A. (x2 - 16)(x + 4)(x - 4) B. (x2 + 16)(x + 4)(x - 4) C. prime D. (x + 4)2(x - 4)2

Mathematics