This activity, which acts as a learning review, is a solution of the questions of the MM CAS 2003 Exam 1 Part 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 write down the equations involving values of the function and its derivative

Solve the equations by expressing two variables in terms of the third

Graph the given curves, and determine the range of the intersection point

Observe the period for each curve, and understand that the period + solution will also be a solution

Define a function, graph it, and find the intercepts

Specify the equation parametrically, and obtain the asymptote on the graph

Enter the expressions separately and combine later

Set bounds for the numerical solver

Determine the value of the integral

Calculate the area of the shaded region

Use Derive to define a function, ignoring the scale factor, and interpret the absolute value part of the function

Use embedded IF statements to obtain an appropriate graph

Insert labels on the axes

Plot the four line segments and determine where the line cuts the y-axis

Observe that the region under the curve is triangular, and calculate the area

Integrate the density function and solve for the variable

Use transition matrices to solve the probability problem

After the Activity

Review student results:

As a class, discuss questions that appeared to be more challenging