For the definite integral, do the following. 3 fx2 dx 1 (a) Approximate the integral "by hand," using trapezoidal approximation with n = 4 trapezoids. Round calculations to three decimal places. B v (b) Ewvaluate the integral exactly using antiderivatives, rounding to three decimal places. 8.666 % (c) Find the actual error (the absolute value of the difference between the actual value and the approximation). (Round your answer to three decimal places.) 0.084 Y (d) (d) Find the relative error (the actual error divided by the actual value, expressed as a percent). (Round to the nearest percent.) v A graphing calculator is recommended. An investment grows at a rate of 2 9e V thousand dollars per year, where t is the number of years since the beginning of the investment. Use a graphing calculator trapezoidal approximation program from the Internet (see here) to estimate the total growth (in thousands of dollars) of the investment during the first 3 years (year 0 to year 3). Use successively higher values of n until answers agree to two decimal places (rounded). 29725 thousand dollars