{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# P33 - every time x 3 Over a four-hour period the number of...

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

Project 32/33 MAC 2233 1. Evaluate each of the following integrals using a basic substitution. Z 8 x 3 4 - 3 x 4 d x Z x 2 e - 2 x 3 d x Z e 1 x 4 x 2 d x Z p 1 + 2 ln( x ) 4 x d x 2. Demonstrate that F ( u ) = ( u - 1) e u is an antiderivative for the function f ( u ) = ue u . Use the substitution u = x to relate the indefinite integral to f ( u ) , and use the formula above to calculate the indefinite integral: Z e x d x = Suppose the concentration of a chemical in the air changes at rate e x ppm/day, where x is the time elapsed in days. If there are 2 ppm initially, find a formula for the concentration at
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: every time x . 3. Over a four-hour period, the number of students within a certain campus building changes at a rate of γ ( x ) = 100 x √ 4-x , where x is the number of hours that have elapsed during that period. If the building is initially empty, how many students are present after 4 hours?...
View Full Document

{[ snackBarMessage ]}