Assignment 3

Assignment 3 - μ mol/L If the cell is poisoned when the...

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

Professor Jason Levy, University of Ottawa, MAT 1332C, Winter 2011 Assignment 3, due Wednesday February 2, 8:30am at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Student Number DGD section By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Student Name 1. For each of the following improper integrals, determine whether it converges, and evaluate it if if does. (a) Z 0 t 2 4 + t 6 dt (b) Z 1 e - t sin(2 t ) dt 2. The concentration of toxin in a cell is increasing at a rate of 50 e - 2 t μ mol/L/s, starting from a concentration of 10
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: μ mol/L. If the cell is poisoned when the con-centration exceeds 30 μ mol/L, will the cell survive? Hint: Express the limiting concentration as an improper integral. 3. Find the solution to the autonomous diﬀerential equation dy dt = y 2 + 1 . satisfying the intial condition y (0) = 1. 4. Solve the separable diﬀerential equation dy dt = e t + 2 t y 2 5. Find the solution to the autonomous diﬀerential equation dy dt = 0 . 5(100-y ) . satisfying the intial condition y (0) = 20. What is the limiting value of y as t → ∞ ? 1...
View Full Document

This note was uploaded on 09/17/2011 for the course MAT 1332 taught by Professor Munteanu during the Winter '07 term at University of Ottawa.

Ask a homework question - tutors are online