Answer:
Step-by-step explanation:
ANSWER
B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

EXPLANATION
The given

The hypotheses are
1. The function is continuous on [1, 7].
2. The function is differentiable on (1, 7).
3. There is a c, such that:


This implies that;




Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
==> I can't be sure of the equation. There's a blank space
between '5t' and '8', where an operation must be.
I think the operation is more likely ' + ' (addition). Brainly usually
does show the ' - ' if it's subtraction, but goes blank if it's addition.
Tell you what I'll do: Since you sound so desperate, and you're being
so generous with your points, I'll show you how to figure it out both ways.
----------------------------------------
If it's subtraction: 5t - 8 = 43
Add 8 to each side: 5t = 51
Divide each side by 5 : t = 51/5
t = 10 and 1/5
--------------------------------------------
If it's addition: 5t + 8 = 43
Subtract 8 from each side: 5t = 35
Divide each side by 5 : t = 7
Answer:
first one: yes
second one: yes
third one: no
fourth one: yes
Step-by-step explanation: