P31 - . Write the particular function having derivative F (...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Project 31 MAC 2233 1. Recall the formula and graph for the logistic function; note that one example is the function P ( t ) = 100 1 + 2 e - 0 . 2 t . Where does the inflection point for the graph occur? Now sketch the function P ( t ) on the axes above. Include the intercept, inflection point, and asymptote. Suppose the function P ( t ) represents the population of whales in a certain area t years from now. What is the population of whales now? When will the population be 75 whales? To what number will the population tend in the long run? 2. Examine the function f ( x ) = x 2 - x + 2 x on (0 , ) . Find any one antiderivative for f ( x ) . What is the general antiderivative for f ( x ) ? Calculate the indefinite integral Z f ( x ) d x
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: . Write the particular function having derivative F ( x ) on the interval (0 , ∞ ) and passing through the point (1 , 10) . What is the value of F ( x ) when x = 2 ? 3. Show that F ( t ) = 2 5 (9-t ) 5 2-6(9-t ) 3 2 is an antiderivative for the function f ( t ) = t √ 9-t on [0 , 9) . Suppose that at any time t ≥ (in hours) the rate at which water flows into a tank (in liters per hour) is given by the formula 10 + 5 f ( t ) . Find the formula V ( t ) for the volume of water in the tank at time t if the tank is initially empty (at t = 0 ). Find the volume of water in the tank after 9 hours....
View Full Document

This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.

Page1 / 2

P31 - . Write the particular function having derivative F (...

This preview shows document pages 1 - 2. Sign up to view the full document.

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