Provide an appropriate response.A cylinder has a height that is 3 times as long as the radius.(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) = 3r (?r2) |
| (c) | f(r) =  |
| (d) |  |
| (e) | rational function |
| (f) | all real numbers except 0 |
| (g) | r > 0 |
Mathematics
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Sketch the graph and show all local extrema and inflection points.y = x
4
A. Local maximum: 
Local minimum: (10, 0)
Inflection point: 
B. Absolute maximum: 
Absolute minimum: (10, 0)
Inflection points: 
C. Local maximum: 
Local minimum: (10, 0)
Inflection points: 
, (10, 0)
D. Absolute minimum: (10, 0)
No inflection points
Mathematics
Find all solutions to the equation. Express each result in radians.4 sin2 x - 1 = 0
A. 
+ n?, 
+ n?
B. 
+ n?
C. 
+ n?, 
+ n?
D. 
+ n?, 
+ 2n?
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Evaluate.9 - (-20)
A. -11 B. 11 C. 29 D. -29
Mathematics
Find a? b.a = 
, b = 
A. 62
B. 
C. 22
D. 
Mathematics