Find the average value of the function on the given interval.f(x) = x3 - 9x2 + 27x - 27; [0, 6]
A.
B.
C. 81
D. 0
Answer: D
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Solve the problem.Frustum of a coneA small cone has been removed from the top of the original cone. What is the ratio of the volume of the original cone to the volume of the small cone which was removed, given that the radius of the original cone is twice the radius of the small cone?[Hint: Use similar triangles]
A. 4 : 1 B. 8 : 3 C. 8 : 1 D. 2 : 1
Sketch the graph of the equation in the rectangular coordinate system in three dimensions.x2 + y2 + z2 = 4
What will be an ideal response?
Solve the given differential equation.4y" - 20y' + 25y = 0
A. y = c1e5x/2 + c2 B. y = ce5x/2 C. y = (c1 + c2x)e-5x/2 D. y = (c1 + c2x)e5x/2
Use simple probability to complete the exercises.Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability that the arrow will land on an odd number.
A. 0
B. 1
C.
D.