This problem asks you to verify that the Intermediate Value Theorem is true for some particular functions, intervals and intermediate values. In each problem you are given a function f , an interval [a, b] and a value V. Verify that V is between

f(a) and f(b) and find a value of c in the given interval so that f(c) =V.

(a) f(x)=x2 on [0,3],V=2

(b) f(x)=x2 on [1,2],V=3

(c) f (x) = sin(x) on [0,2], V=21

(d) f(x)=x on [0,1],V=31 (e) f(x)=x2x on [2,5],V=4

(f) f(x) = ln(x) on [1,10], V = 2