Q2/Verify Lagrange's mean value theorem for the function F(x) = Vx2 – 4 in the interval [2,4] Q3/Prove by mean value theorem 1+x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1/Solve by mean value theorem
1- F(x)=x² In the interval [1,-1]
2-F(x)=coshx In the interval [-1,3]
3-F(x)=x(x-1)(x-2) In the interval [0,-1
Q2/Verify Lagrange's mean value theorem for the
function F(x) = Vx2 - 4 in the interval [2,4]
Q3/Prove by mean value theorem 1+x<e*<1+xe*
where x2 0
Transcribed Image Text:Q1/Solve by mean value theorem 1- F(x)=x² In the interval [1,-1] 2-F(x)=coshx In the interval [-1,3] 3-F(x)=x(x-1)(x-2) In the interval [0,-1 Q2/Verify Lagrange's mean value theorem for the function F(x) = Vx2 - 4 in the interval [2,4] Q3/Prove by mean value theorem 1+x<e*<1+xe* where x2 0
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