1. Solve for x. Verify the solution with a graph. 

2. Solve using the Equation Manipulator and Drag to Solve.  

>

 

>

 

 

 

	(3.2.1)

 

>

 

>

 

>

 

>	# Repeat the process using the Drag to Solve feature.

 

>

 

(3.2.2)

 

>

 

(3.2.3)

 

>

 

(3.2.4)

 

3. Solve the inequality 

4. Determine  for each in a solution to: 

5. Find all solutions to  on [0, 10] . 

Maple Problem Set 

1. Numerically determine 

2. Consider .  Does it have a discontinuity? Create a plot. If a discontinuity exists, highlight it on the image.  

3. Determine using the limit() command.  

4.        Given that  

5. Evaluate the limit or determine that it does not exist. State a reason why. Use a graph to back up all conclusions.  

6. Determine what value of the constant ‘ a ‘ makes the function   continuous everywhere. 

7. Determine the equation of a function where the following conditions are met:  

8. Using the Limit Tutor determine:  

Maple Problem Set 

1.  When the command limit is capitalized, it tells Maple to create at typeset statement of the limit. When the command is entered with a lower case l, Maple performs the calculation.  

>

 

(5.9.1)

 

>

 

(5.9.2)

 

2.  The iscont() command checks for continuity. 

3. If a function is discontinous, the adding discont=true or discont=[showremoveable] will help omit extraneous vertical lines or add in circles that highlight where a function has a hole, respectively. 

4. The keyword infinity can be used to represent infinity. Also the ∞ symbol is on the Common Symbols Palette. 

1.          Given  

2. Use the diff() and D() commands to determine the first and second derivatives of the following:  

3. Use the Calculus Palette to determine the first and second derivatives of the following: 

4. Determine the nth derivative: 

5. There are two tangent lines to   that passes through the point  

6.           Use the DerivativeTutor() to create a plot of and the first derivative. 

7. Use the DiffTutor() to determine the first derivative of  

8.         Given and : 

9.   Use the Tangent() function to determine the equation of a tangent line toat Verify the solution with a plot.  

10.        Find the cubic equation given there is a maximim at  and a min at .  

1.        Given the point , which point on is the closest to it? 

2.       Given determine all values that satisfy the MVT on the interval   . 

3.       Given determine all values that satisfy the MVT on the interval from point    to point 

4.       A conveyor belt is dumping corn into a large empty silo, forming a circular based cone shaped - heap on the floor. The base radius is twice the size of the height of the pile. If the corn is filling in the space at a rate of 2 / minute, find the rate at which the height is changing when the height is 3 m deep. 

5.      Housing developers hoping to attract buyers will often build in amenities for community members to enjoy. In a particular community, fishing is a key attraction, so the housing developers agree to build a small lake and stock it with trout. The population of trout over time can be modeled by ,   where time is measured in months.  

6.       Solve using Newton's Method.