MATH 2B: SAMPLE MIDTERM #2
• This exam consists of 5 questions and 90 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. (10 points each) Evaluate each of the following integrals.
a.
b.
c.
d.
2. (15 points) Determine whether the following improper integrals are convergent or divergent. Evaluate those that are convergent.
a.
b.
c.