06pm2 - combined with 4 liters of water which contains y...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
34B Practice for Midterm II Winter 2006 Instructor: Prof. Wei Midterm II: Friday, March 3, covering Sections 12.3-12.6 and 13.1-13.8 Practice Problems 1. (a) Find the general solution of y 00 ( t ) = 12 t - 2 and the particular solution for which y (0) = 3 and y (1) = 5. (b) Find the solution of the differential equation y 0 = 2(3 - y ) satisfying the initial condition y (0) = 7. 2. Find the local max and min of x + 9 x - 1 . Clearly show how you apply the second derivative test. 3. How many liters of water containing 3 grams of salt water per liter must be
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: combined with 4 liters of water which contains y grams ( y is less than 2) of salt per liter to yield a solution with 2 grams of salt per liter. 4. Find the linear approximation of f ( x ) = x 2 e 3 x at x = 2. 5. A steel bar is initially at a temperature of 550 ◦ C and cools down according to Newton’s law of cooling. The temperature of the surrounding is 50 ◦ C. Initially the steel bar is cooling at a rate of 20 ◦ C per minute. What was the temperature after 20 minutes?...
View Full Document

This note was uploaded on 12/27/2011 for the course MATH 5B taught by Professor Rickrugangye during the Fall '07 term at UCSB.

Ask a homework question - tutors are online