I have a TI-83 graphing calculator. How do you graph a polar equation on this calculator. Also how would I graph lim 5/x-2 x-->2 in order to find the limit?
Press [MODE] and there should be a place to select [POL] for changing the graphing mode to polar.
To find the limit simply graph the equation as normal. Press [TRACE] and type something like 2.000001 and you'll get very close to the limit.
To graph a polar equation on a TI-83 graphing calculator, follow these steps:
1. Turn on the calculator and navigate to the "Y=" screen by pressing the "Y=" button.
2. Clear any existing equations by selecting each equation and pressing the "CLEAR" button.
3. Enter the polar equation you want to graph by typing it in the input area next to "Y1=".
- For example, if you have the equation r=2cos(theta), you would enter "2*cos(theta)" as Y1.
- Note that you need to use the "theta" variable to represent the angle in polar coordinates.
4. Press the "GRAPH" button (located at the top-right corner) to see the graph of the polar equation.
Now, let's move on to graphing the limit expression on the TI-83 calculator to find the limit.
1. Enter the expression you want to evaluate into the calculator.
- In this case, the expression is "5/(x-2)".
2. Go to the "Y=" screen by pressing the "Y=" button.
3. Clear any existing equations by selecting each equation and pressing the "CLEAR" button.
4. Enter the expression "5/(x-2)" as Y1.
5. Press the "GRAPH" button to see the graph of the expression.
- However, note that the graph may not show the limit explicitly.
6. To find the limit, go to the "TABLE" screen by pressing the "2nd" button, then the "GRAPH" button.
7. Scroll through the table values (if available) using the arrow keys until you find the x-values approaching 2.
- You should notice that as x gets closer to 2, the y-values approach a specific value, which is the limit.
- Note: If the table does not show the desired behavior, you might need to adjust the viewing window.
8. Based on the observed y-values, you can approximate the limit as x approaches 2.
Remember that this method provides an approximate value of the limit. For a more precise calculation, you might need to use analytical techniques or a computer algebra system.