TI-89 Tutorial

1.) Clean the machine    Solution
Erase all data from the home window, undefine all one letter variables and remove all graphs from the Y = editor.


2.) Substitution and approximation  Solution
Evaluate the function x2/3 - 8Ö(6y3) at x = 6 and y = 1/3. Approximate the result.

3.) Solving for a variable     Solution
Solve the equation x2/3 - 8Ö(6y3) = 0 for y.

4.) Solve a system     Solution
Find all simultaneous solutions to the system 4x-3y = 2 and x2/4-y2/9 = 1.

5.) Graphing a Euclidean system    Solution
Graph the system 4x-3y = 2 and x2/4-y2/9 = 1 and use the trace utility to visually find the simultaneous solutions.

6.) Derivatives and critical points   Solution
Find d2/dx2  of ax3+bx2+cx+d and find its critical points.

7.) Indefinite and definite integrals   Solution
Find ò y2 tan-1 y dy and òp/4p/3ò01 r2 sin q dr dq

8.) Limits     Solution
Find limx® 3(x2-x-6)/(x3-27) and ò1¥ dx/(x ln x).

9.) Parametric and polar curves    Solution
Sketch x = 3 cos t and y = 5 sin t for -p/2 £ t £p/2 and sketch r = 3 sec 2q.

10.) Graphing Euclidean Â3 surfaces     Solution
Sketch the surface z = x2 - y2 showing the surface's intersection with several planes parallel to the xy plane.

11.) Solving and graphing differential equations    Solution
Find a solution to y¢ = y (100 - y)/1000 with y(0) = 10 and sketch the slope field for the solution.

File translated from TEX by TTH, version 2.32.