Provide an appropriate response.The region shown here is to be revolved about the line x = 3 to generate a solid. Which of the methods (disk, washer, shell) could you use to find the volume of the solid? How many integrals would be required in each case?x = - y2 

What will be an ideal response?


The volume can be found using the washer method with 1 integral or using the shell method with 2 integrals.

Mathematics

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Solve the problem.A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $4.05 per gallon, whereas they sell 3849 gallons on a day that they charge $4.10 per gallon. Find a linear equation that expresses gallons sold, G, in terms of price, p.

A. G = -19,420p + 83,449.2 B. G = -19,420p + 83,454.8 C. G = -19,420p + 83,471 D. G = -19,420p + 83,487

Mathematics

Two functions f and g are related by the given equation. Use the numerical representation of f to make a numerical representation of g.g(x) = f(x - 1) + 3 

A.
B.
C.
D.

Mathematics

Find the inverse of the function.f(x) = (x - 3)3

A. f-1(x) =  - 3
B. f-1(x) =  + 27
C. f-1(x) = 
D. f-1(x) =  + 3

Mathematics

Provide an appropriate response.State whether the following situation represents direct variation, inverse variation, or neither, and explain why: The weight of a roast and the number of servings obtained from it.

What will be an ideal response?

Mathematics