31.6 An older proof of Theorem 31.3 goes as follows, which we outline for c = 0. Assume x > 0, let M be as in the proof of Theorem 31.3, and let F(t) = f(t) + n −1 k=1 (x − t)k k! f(k) (t) + M · (x − t)n n! for t in [0, x]. Show F is differentiable on [0, x] and F (t) = (x − t)n−1 (n − 1)! [f(n) (t) − M].

true

step-by-step explanation:

the first one

step-by-step explanation:

just id the test.

answer:

c) the x-coordinate of the center of the circle increases by 3

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )