Department
MathematicsCourse Code
MATH 2BProfessor
AllStudy Guide
FinalThis preview shows pages 1-2. to view the full 8 pages of the document.
MATH 2B: SAMPLE FINAL #1
•This exam consists of 14 questions and 100 total points.
•Read the directions for each problem carefully and answer all parts of each problem.
•Please show all work needed to arrive at your solutions (unless instructed otherwise). Label
graphs and define any notation used. Cross out incorrect scratch-work.
•No calculators or other forms of assistance are allowed. Do not check your cell phones
during the exam.
•Clearly indicate your final answer to each problem.
1. (6 points) Suppose that R1
−1f(x)dx = 6,R4
1f(x)dx =−2and R1
−1h(x)dx = 9. Use this
information to compute the following.
a. R1
46f(x)dx
b. R1
−12f(x) + 3h(x)dx
c. R4
−1f(x)dx
2. (6 points)
a. Evaluate the following derivative
d
dx Zx2
sin(x)
t3tan(t)dt.
b. Let r(t)be the rate at which the world’s oil is consumed, where tis measured in years starting
at t= 0 representing January 1, 2000, and r(t)is measured in barrels per year. What does
R13
0r(t)dt represent and what are its units?
Only pages 1-2 are available for preview. Some parts have been intentionally blurred.
3. (6 points) Evaluate Rx2tan−1x dx
4. (6 points) Evaluate Z1
xln(3x)dx
You're Reading a Preview
Unlock to view full version
Only pages 1-2 are available for preview. Some parts have been intentionally blurred.
5. (6 points) Evaluate Rsin5(x) cos2(x)dx
6. (6 points) Evaluate Z√x2−25
xdx, where x > 5
You're Reading a Preview
Unlock to view full version