# review - (b) Which is larger, RIGHT(4) of LEFT(4)? How do...

This preview shows pages 1–4. Sign up to view the full content.

Name: PID: Sec. No: Sec. Time: Math 10B Review Assignment September 2, 2010 Please turn in on Thursday in class. This assignment may replace your worst homework. Show all of your work, no credit will be given for unsupported answers. Please write neatly and make sure the answer is clear. 1. Please compute the following indeﬁnite integrals. (a) Z x ( x + 4)( x - 3) dx (b) Z x + 1 x - 4 dx (c) Z x ln(3 x ) dx

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

View Full Document
2. Find the volume of the ﬁgure formed by revolving the region between the functions f ( x ) = x and h ( x ) = x on [0 , 1] around the line y = 3. 3. Solve the following initial value problem ds dt = s 2 sin( t ) s ( π ) = 1 4. Consider the function g ( x ) = x 3 + x - 1 on [0 , 4]. Please answer the following questions. (a) Which is larger, TRAP(4) of MID(4)? How do you know? Compute the larger of the two.

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: (b) Which is larger, RIGHT(4) of LEFT(4)? How do you know? Compute the larger of the two. 5. Consider the function dened by G ( y ) = Z y 2 4 x 1 + x 2 dx (a) Compute G (5). (b) Compute G (5). (c) Find the absolute minimum of G ( x ) on [5 , ). Explain your reasoning. 6. Find the volume of the 3D object whose base lies between the function y = x 2 and the y-axis from y = 0 to y = 3 and whose cross sections perpendicular to the y-axis are equilateral triangles. 7. Determine whether the following improper integral converges or diverges. You do not need to nd the value if it does converge. Z 4 1 x 2-2 dx...
View Full Document

## This note was uploaded on 09/13/2010 for the course MATH math 10b taught by Professor Reed during the Summer '10 term at UCSD.

### Page1 / 4

review - (b) Which is larger, RIGHT(4) of LEFT(4)? How do...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online