1) 2) Find all numbers c that satisfy the conclusion of Rollc\'s Theorem for the
ID: 2831845 • Letter: 1
Question
1)
2)
Find all numbers c that satisfy the conclusion of Rollc's Theorem for the following function and interval. Enter the values in increasing order and enter N in any blanks you don't need to use. Graph the function f(x) =X + 4/X Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [ 1,8] Notice that if you graph the tangent line to the point (c,f(c)) it is parallel to the secant line.Explanation / Answer
1.) f1(c)=0
(3x+2)/sqrt(x+1) = 0
implies c= -2/3 only 1 c
2.) a=1 b=8 f(a)=5 f(b)=8.5
mean value theorem--- f1(c)= [ f(b)-f(a) ] / (b-a)
(1 - 4/c2) = 3.5/7 = 0.5
c2 = 4*2=8
c= 2.8284
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