v.

Define f by: I: h(t)dt, where h is some continuous function of one variable such that h(0) = 1 and h(1] = 4. Moreover, suppose that f[0,1) = 3. [3) Find fx (0,1) and fy [0,1]. [Hint Use the Fundamental Theorem of Calculus] (b) Find the local linear approximation of f at [0,1] and use it to approximate the value of: 1.01 h(t)dt. 0.03