Thread: Intermediate Value Theorem

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval:

1. the third root of x = 1-x, (0,1)

Note: I'd really appreciate it if somebody could tell me how to type in the square root and other root symbols.

2. cosx = x (0,1)

Originally Posted by dm10

Note: I'd really appreciate it if somebody could tell me how to type in the square root and other root symbols.

Code:

[math]\frac{2}{3}[/math]

Code:

[math]2\sqrt{32}[/math]

Mo.

Originally Posted by dm10

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval:

1. the third root of x = 1-x, (0,1)

Note: I'd really appreciate it if somebody could tell me how to type in the square root and other root symbols.

2. cosx = x (0,1)

1. Use the function , and calculate the values for this function at x = 0 and x = 1. What does the Intermediate Value Theorem tell you about this result?

2. Use the function , calculate the value for this function at x = 0, and show that is negative.