4 points) (Note: for this problem, because later answers depend on earlier ones,

4 points) (Note: for this problem, because later answers depend on earlier ones, you must enter answers for all answer blanks for the problem to be marked correct or incorrect.) (a) What is the exact value of ∫40exdx? ∫40exdx= 53.59815003 (b) Find LEFT(2), RIGHT(2), TRAP(2), MID(2), and SIMP(2); compute the error for each. LEFT(2) RIGHT(2) TRAP(2) MID(2) SIMP(2) value 16.7781122 123.9744123 70.37626 45.6076375 56.7695 error 36.82 -70.376 -16.778 7.9905 -3.1714 (c) Repeat part (b) with n=4 (instead of n=2). LEFT(4) RIGHT(4) TRAP(4) MID(4) SIMP(4) value 31.19287485 84.7910249 57.99195 51.42835626 53.863846 error 22.40527518 -31.19287485 -4.39379984 2.16979 -.26569572 (d) For each rule in part (b), as n goes from n=2 to n=4, does the error go down approximately as you would expect? Explain by calculating the ratios of the errors: Error LEFT(2)/Error LEFT(4) = 1.643365 Error RIGHT(2)/Error RIGHT(4) = 2.256 Error TRAP(2)/Error TRAP(4) = 3.8186 Error MID(2)/Error MID(4) = 3.6826 Error SIMP(2)/Error SIMP(4) = 11.937 (Be sure that you can explain in words why these do (or don't) make sense.)