exam1_wi05 - r = 5 sin(3 θ 3 A vehicle travels along a...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Name: Section Number: TA Name: Section Time: Math 20B. Midterm Exam 1 January 26, 2005 Turn of and put away your cell phone. No calculators or any other electronic 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. (4 points) Evaluate the following integrals. (a) Z x sin(3 x 2 ) dx (b) Z e 4 e 3 dx x (ln x ) 2 # Score 1 2 3 4 5 Σ
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. (4 points) Find the area enclosed by one loop of the polar curve
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: r = 5 sin(3 θ ). 3. A vehicle travels along a line so that its velocity at time t is v ( t ) = 9-t 2 meters per second. (a) (2 points) Find the displacement (net distance traveled) of the vehicle from t = 0 to t = 4 seconds. (b) (4 points) Find the total distance traveled by the vehicle from t = 0 to t = 4 seconds. 4. (4 points) Find the fourth roots of-81 and express them in polar form. (Note that 81 = 3 4 .) 5. (4 points) A spherical water tank of radius A feet is Flled to a depth D feet. ±ind the volume of water in the tank. A D...
View Full Document

This note was uploaded on 04/29/2010 for the course MATH MATH 20B taught by Professor Takeda during the Spring '07 term at UCSD.

Page1 / 5

exam1_wi05 - r = 5 sin(3 θ 3 A vehicle travels along a...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online