Hi,

how can i enter d=3.5+2sin(2pit/13),where t is time. into ti-83 calculator and sketch the graph for time 0 to 30 hours.

To enter the equation d=3.5+2sin(2πt/13) into the TI-83 calculator and sketch the graph, follow these steps:

1. Turn on your TI-83 calculator.
2. Press the "Y=" button to enter the graphing screen.
3. Clear any existing functions by highlighting them and pressing the "Clear" button.
4. Enter the equation as follows:
- For 3.5, press the number keys "3" and ".".
- For sin, press the "Math" button, then navigate to the "Trig" submenu using the right arrow button.
- Select "sin(" from the list.
- For 2πt/13, press the number keys "2", "*", "π", "*", "t", "/", "13".
- Press the ")" button to close the sin function.
5. Press the "Zoom" button and select option 6: "ZStandard" to set the graphing window.
6. Press the "Window" button to customize the graph's window settings.
7. Set the "Xmin" value to 0 and the "Xmax" value to 30 to cover the range of 0 to 30 hours.
8. Set the "Ymin" and "Ymax" values according to the range of the function you expect.
9. Press the "Graph" button to plot the graph.

You should now see the graph of the equation d=3.5+2sin(2πt/13) for time values ranging from 0 to 30 hours on the TI-83 calculator screen.