calculus
posted by mike .
Find a value c in the interval [0,2] such that f(c)is equal to the average value.

calculus 
Steve
c=1.7
Respond to this Question
Similar Questions

Calc, Mean Value Theorem
Consider the function : 3x^3  2x^2  4x + 1 Find the average slope of this function on the interval. By the Mean Value Theorem, we know there exists a "c" in the open interval (2,3) such that f'(c) is equal to this mean slope. Find … 
calculus
Find the numbers b such that the average value of f(x) on the interval [0, b] is equal to 9. f(x)=7+10x3x^2 
calculus
Consider the function f(x)=4sqrtx+5 on the interval [4,5]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (4,5) such that f'(c) is equal to … 
calculus
Consider the function f(x)=–3x3–1x2+1x+1Find the average slope of this function on the interval (–2–1). By the Mean Value Theorem, we know there exists a c in the open interval (–2–1) such that f(c) is equal to this mean … 
calculus
Find all numbers b such that the average value of f(x)=2+6x−3x^2 on the interval [0,b] is equal to 3. Give your answer as a list of numbers, e.g., {1,2,3}. 
Calculus
Consider the function f(x)=6xcos(x)+5 on the interval 0 is less than or equal to x, and x is less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c)=k for which values of c and k? 
calculus
Consider the function f(x)=65x−cos(x)+2 on the interval 0 less than or equal to x less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c)=k for which values of c and k? 
calculus
Consider the given function and the given interval. f(x) = 4 sin x − 2 sin 2x, [0, π] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that fave = f(c). (Round your answers to three decimal … 
math
Consider the function f(x)=–2x^3–3x^2+2x–2 Find the average slope of this function on the interval (2,6). ? 
Calculus Please help!
f(x) 2x^3+2x^23x+2 Find the average slope of this function on the interval (–3–1) ________ <A By the Mean Value Theorem, we know there exists a c in the open interval (–3–1) such that f'(c) is equal to this mean slope. …