1 / 6

2004 AP Calculus Exam

0. 2004 AP Calculus Exam. Free Response Problem #6. 0. 0. Next, use the values for dy/dx to graph the slopes at each point. Approximate the angles of the slopes. First, create a chart to find dy/dx. 0. First, study the graph of dy/dx at each of the twelve points.

luke-foley
Download Presentation

2004 AP Calculus Exam

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 0 2004 AP Calculus Exam Free Response Problem #6

  2. 0

  3. 0 Next, use the values for dy/dx to graph the slopes at each point. Approximate the angles of the slopes. First, create a chart to find dy/dx

  4. 0 First, study the graph of dy/dx at each of the twelve points. What pattern do you observe where the slopes are positive? Click when you’re ready for the answer! is positive for all points where y > 0 and x ≠ 0

  5. 0 Use U-Substitution (in this case, u = y-1) to get du/u, which is equal to ln|u| Rewrite this expression as a multiple of two exponential expressions with the same base Rewrite the natural log as an exponential equation with e as the base Rewrite the equation equal to y using the value you found for C Since ecis a constant, it can be rewritten as C Make the equation equal to y Use the initial condition (f(0)=3) to solve for C Combine like terms (x on one side and y on the other) Start by using implicit differentiation Integrate Substitute y-1 in for u

  6. You have completed the AP Calculus Free Response Problem #6! 0 Congratulations! With the help of: Anna Woodbury and Sara Buchanan

More Related