Homework Help: Calculus

Posted by Abigail on Saturday, February 5, 2011 at 11:17pm.

Consider the function f(x)=8.5x−cos(x)+2 on the interval 0≤x≤1 . The Intermediate Value Theorem guarantees that there is a value c such that f(c)=k for which values of c and k? Fill in the following mathematical statements, giving an interval with non-zero length in each case.

For every k in ______≤k≤______

there is a c in 0 ≤c≤ 1

Calculus - helper, Saturday, February 5, 2011 at 11:24pm
What is "c in 0 ≤c≤ 1" ?

You should always check your question after posting.

A tutor can't help if they cannot understand your 'symbols'.
Calculus - Abigail, Sunday, February 6, 2011 at 3:35pm
Sorry...
Consider the function f(x) = 8.5 x − cos(x) + 2 on the interval 0 ≤ x ≤ 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c) = k for which values of c and k? Fill in the following mathematical statements, giving an interval with non-zero length in each case.

For every k in ____ ≤ k ≤___ ,
there is a c in 0 ≤ c ≤ 1
such that f(c) = k.

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