Question

Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2). (Enter your answers as a comma-separated list.)

7 csc^2 x + 3.5 cot x − 35 = 0

Answer 1

To approximate the solutions of the equation 7 csc^2 x + 3.5 cot x − 35 = 0 in the interval [0, 2), use a graphing utility to find the x-coordinates where the graph intersects the x-axis and round them to three decimal places.

Step-by-step explanation:

To approximate the solutions of the equation 7 csc^2 x + 3.5 cot x − 35 = 0 in the interval [0, 2), we can use a graphing utility. Here's how:

1. Enter the equation into the graphing utility.
2. Set the viewing window to the interval [0, 2).
3. Find the x-coordinate of each point where the graph intersects the x-axis.
4. Round each x-coordinate to three decimal places.
5. Write the solutions as a comma-separated list.

For example, if the graph intersects the x-axis at x = 0.412 and x = 1.763, the solutions would be approximately 0.412, 1.763.