Question

Calculus study sheet help?

Answer 1

with what exactly

Answer 2

I have finals to study fore so it covers a lot I think I have 4 study sheets

Answer 3

if you put one question, and your answer in a post, people will be happy to correct/help you.

Answer 4

I thought for 1 it was -pi/3 pi/2 as a typo because shouldn't the answer be -pi/2 pi/2?

Answer 5

Here is the definition
If f is continuous on a closed interval [a,b], and c is any number between f(a) and f(b) inclusive, then there is at least one number x in the closed interval such that f(x)=c.

the tangent is not continuous at pi/2 (for example)
so we can't include pi/2

Answer 6

that will exclude all of your choices except one.

Answer 7

that leaves the first two

Answer 8

you're confusing me. are you saying -pi to pi does not include pi/2, which we agree we are not allowed to include in our interval ?

Answer 9

-pi and pi includes pi/2 -pi/ to pi/3 includes spi/2 everywhere includes pi/2 so it would be -pi/3 to pi/2

Answer 10

-pi/3 to pi/2 includes pi/2
so you don't want that one.

you have only 1 choice -pi/3 to pi/3

Answer 11

doesn't that include pi/2?

Answer 12

Tangent exists at all points.