# exam2 - during the Frst six seconds of a race the data is...

This preview shows pages 1–6. Sign up to view the full content.

Name: Section Number: TA Name: Section Time: Math 20B. Midterm Exam 2 March 1, 2006 Turn of and put away your cell phone. No calculators or any other devices are allowed on this exam. You may use one page oF notes, but no books or other assistance on this exam. Read each question careFully, answer each question completely, and show all oF your work. Write your solutions clearly and legibly; no credit will be given For illegible solutions. IF any question is not clear, ask For clari±cation. 1. (6 points) Evaluate Z e i 2 x cos( x ) dx . You may leave the result in exponential form. # Score 1 2 3 4 5 6 Σ

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2. (6 points) Evaluate Z 1 ( x 2 + 16) 2 dx .
3. (8 points) Evaluate Z 2 x 4 + 3 x 2 - 4 x 3 + x dx .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4. (6 points) A radar gun was used to record the speed (in meters per second) of a runner

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: during the Frst six seconds of a race; the data is recorded in the table below. Estimate the distance the runner traveled during the six seconds using the Trapezoid Rule. (Note: You need not simplify the resulting expression.) Time (sec) 2 4 6 Velocity (meters/sec) 8.3 9.3 10.3 5. (a) (2 points) Z ∞ e-x dx converges. Find its value. (b) (4 points) By applying the Comparison Theorem, determine whether Z ∞ e cos( x ) · e-x dx converges. Be sure to justify your conclusion. 6. (6 points) Determine whether the sequence n 2 n 2 5 n 2 +2 n +1 o converges. If it converges, Fnd its limit....
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

exam2 - during the Frst six seconds of a race the data is...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online