1} Find the value of c that satisfies the Mean Value Theorem for the following functions and intervals. Sketch the graph of the function, and draw the secant line that connects the two points. Also draw the tangent line at the value of c (you may use a graphing utility to help with the sketch}. a) f'(,t)=3r3 x2 on [1,2] b) f(x) = J; on [0,9] c} f(x) =353 +2x+l on [0,2]