Provide an appropriate response.A cylinder has a height that is 4 more than the diameter of its base.(a)Write the area of its circular base as a function of its radius.(b)Write the volume of the cylinder as a function of its radius.(c)Without simplifying, write the ratio of the area of the circular base and the volume of the cylinder as a function of the radius.(d)Simplify the function you wrote in c.(e)What kind of function is this?(f)What is its domain out of context?(g)What is its domain in the given context?
What will be an ideal response?
| (a) | a(r) = ?r2 |
| (b) | v(r) = (2r + 4)(?r2) |
| (c) | f(r) =  |
| (d) |  |
| (e) | rational function |
| (f) | all real numbers except -2 and 0 |
| (g) | r > 0 |
Mathematics
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A. x3/2(x - 1)[6(x2 - 1) - 2] + 6x3 B. 6x3/2(x + 1)(3x2 - 4) C. 6x3/2(x3 - 1) + 6x3 - 2x3/2(x - 1) D. 2x3/2(x + 1)(3x2 - 4)
Mathematics
Solve the proportion. 
(a) 11 (b) 1 (c) -11 (d) 2
Mathematics
Factor.125a3 - 64b3
A. (5a - 4b)(25a2 + 20ab + 16b2) B. (125a - 4b)(a2 + 20ab + 16b2) C. (5a - 4b)(25a2 + 16b2) D. (5a + 4b2)(25a2 - 20ab + 16b2)
Mathematics
Solve the problem.A land developer wants to develop 8 acres of land. Each lot in the development is to be 
of an acre. How many lots will the land developer have in the 8 acres?
A. 
lot
B. 1
lots
C. 2
lot(s)
D. 28 lots
Mathematics