Education Technology

MM CAS 2003 Exam 2 : Sample Solutions Q3 & Q4

Published on 07/23/2005

Activity Overview

This activity, which acts as a learning review, is a solution of the questions 3 & 4 of the MM CAS 2003 Exam 2. Students use the Derive software to solve problems.

Before the Activity

  • See the attached PDF / DFW file for solutions to the questions and print the file for the class
  • During the Activity

    Distribute the pages to the class.

    In this activity, students will:

  • Define a function and find its derivative
  • Equate the derivative to zero and find the x-coordinates of the stationary points
  • Substitute the values to get the y-coordinates
  • Write the equation of the tangent, and determine the slope
  • Solve the equation

  • Define the function and determine when the concentration will be greatest
  • Find the times for a given concentration, and subtract them
  • Determine the coordinate of the local maximum
  • Plot the inverse of the function, and solve for the parametric variable
  • After the Activity

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary