MTH101 Assignment No 02 Fall 2020 Solution / Discussion
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(Mth101 assignment solution 2)
Question: 1
Check the validity of Rolle’s Theorem for on the interval [2, 10].
Solution:
Part (a)
f(x) = 1+(x-2)^{1/3}___(equation 1)
Put x=2 in equation (1)
f(2) = 1+(2-2)^{1/3}
f(2) = 1+(0)^{1/3}
f(2) = 1
and
f(x) = 1+(x-2)^{1/3}___(equation 2)
Put x=10 in equation (2)
f(10) =1+(10-2)^{1/3}
f(10) = 1+(10-2)^{1/3}
f(10) = 1+(2^{3})^{1/3}
f(10) = 1+(2)^{1}
f(10) = 1+2
f(10) = 3
As f(2) f(10), thus the given function is not continuous.
mth101 assignment 2 solution fall 2020
mth101 assignment 2 solution 2020
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MTH101 Assignment 2 Complete Correct Solution Solved Fall 2020
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