Thursday

September 18, 2014

September 18, 2014

Posted by **David** on Thursday, December 10, 2009 at 12:55am.

b)using the mean value theorom or rolle's theorom - no other methods will be accepted - prove carefully that x^3 + 9x^2 + 33x takes on the value -8 at most once

- Calculus -
**MathMate**, Thursday, December 10, 2009 at 8:30ama.

determine the domain and range of the function and conclude.

b.

Prove by contradiction:

assume that there are two or more values of x for which f(x1)=-8 and f(x2)=-8, where x1<x2.

Consider the interval [x1,x2], and apply Rolle's theorem or the mean value theorem to see if it is possible to find such x1, x2.

**Answer this Question**

**Related Questions**

Math - Calculus - Show that the equation x^3-15x+c=0 has at most one root in the...

Math - Calculus - Show that the equation x^3-15x+c=0 has at most one root in the...

unique solution - How do I show that the equation x^4 + 3x + 1 = 0, -2 <= x &...

geometry - what is the diffwereence between a postulate and theorom

MATH - How can i know the result ofdivision 3x^2+6x-4 with 5x+2 in factor ...

Calculus - 1. Determine whether Rolle's Theorem applied to the function f(x)=((x...

Calculus - Suppose that you can calculate the derivative of a function using the...

Algebra - I'm trying to solve this Pythagorean Theorom problem. x^2+(2x^2)=32^2 ...

CALCULUS! - suppose that 3 <_ f prime of x <_ 5, for all values x. show ...

calculus 2 - Suppose that you can calculate the derivative of a function using ...