In this question we shall consider the error involved when we make use of the linear approximation, L(3:) = 1 + 3%, in order to approximate the function F(:12) : (1 + :13)% near a: : 0. a) Give an upper bound for the absolute value of the error on [0, A] , where A > 0, A E R. b) Use the linear approximation to estimate F(0.1). Determine, without using a calculator, whether your estimate is too large or too small. c) What value of A would guarantee that this upper bound for the absolute value of the error is less than 1.5 x 104. (:1) Give an upper bound for the absolute value of the error on [B, 0] , where 1