Solve the problem.Find the inflection points (if any) on the graph of the function and the coordinates of the points on the graph where the function has a local maximum or local minimum value. Then graph the function in a region large enough to show all these points simultaneously. Add to your picture the graphs of the function's first and second derivatives.y = x3 - 15x2

What will be an ideal response?


The zeros of y' = 0 and y" = 0 are extrema and points of inflection, respectively. Inflection at x = 5, local maximum at x = 0, local minimum at x = 10.


Mathematics

You might also like to view...

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = , y = 0, 0 ? x ? 

A. 14?
B. ?
C. 2?
D. 7?

Mathematics

Perform the operations and simplify. ?

What will be an ideal response?

Mathematics

Solve the system.

A. x = 0, y = -6, z = 1 B. x = 0, y = 6, z = -1 C. x = 3, y = 0, z = -4 D. x = -3, y = 0, z = 4

Mathematics

Solve the equation for the specified variable. +  = c for b

A. =  - a
B. = 
C. = 
D. = ac - 

Mathematics