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

Info icon This 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
Image of page 1

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

View Full Document Right Arrow Icon
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

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern