Monday
July 28, 2014

Homework Help: Calculus

Posted by Sean on Sunday, November 1, 2009 at 7:57pm.

For any constant c, define the function f_c(x)= x^3+2x^2+cx.
(a) Graph y = f_c(x) for these values of the parameter c: c = -1, 0, 1, 2, 3, 4. What are the similarities and differences among the graphs, and how do the graphs change as the parameter increases?
(b) For what values of the parameter c will f_c have one local maximum and one local minimum? Use Calculus. As c increases, what happens to the distance between the local maximum and the local minimum?
(c) For what values of the parameter c will f_c have no local maximum or local minimum? Use calculus.
(d) Are there any values of the parameter c for which f_c will have exactly one horizontal tangent line?

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) ...
please check my math2 - Two bodies hang on a string 2.1m long. The two bodies ...
Applied Mechanics - Is my work correct? Two bodies hang on a string 2.1m long. ...
Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...
pre calculus - find the following for the function f(x)=(x+3)^2(x-1)^2 a.) find ...
Calculus - For what values of x is the graph of the function f(x)= x^2e^x ...
math pre calculus - find the following for the function f(x)=(x+5)^2(x-2)^2 a....
Calculus - If you can helpme on this problem you are GOD. If f(x) = ax^2 + bx + ...
Calculous - the figure shows the graph of F', the derivative of a function f. ...
JavaScript - I'm working on a javascript exercise. I have written function ...

Search
Members