Name:
SUMMER II, 2015
MATH 142:202
QUIZ - 11
• This is a quiz to do by yourself at home. Deadline: August, 03, 2015.
• Read each question carefully, answer each question completely, box your answers.
• Show all of your work; no credit will be given for unsupported answers.
1. (2.5 points each) Evaluate the integrals.
a.
b.
Z
Z
2
xex dx.
(ln x)2014
dx.
x
2. A model rocket has upward velocity v(t) = 100t2 ft/s, t seconds after launch. Use the interval [0, 5]
with n = 5 and equal subintervals to compute the following approximations of the distance the rocket
traveled. (Round your answers to two decimal places.)
a. (2 points) Find the left-hand sum.
b. (2 points) Find the right-hand sum.
c. (1 point) Find the average of the two sums.