3. In this problem, we will use linearization to approximate the solution of e t = t 10 + 1.1 which occurs near the origin. (a) (2 points) Without using a calculator, show that the equation e t = t 10 + 1.1 must have a solution in the interval [0, 1]. You must fully justify your answer to receive full credit. (b) (2 points) Replace e t by its linearization at a = 0 in the equation in part (a). Solve the new equation to get an approximate solution to the original equation.