9514 1404 393
Answer:
38.5 square meters
Step-by-step explanation:
The relevant volume formula is ...
V = Bh . . . . where B is the area of the base, and h is the height
Solving for B, we get ...
B = V/h
B = (308 m³)/(8 m) = 38.5 m²
The area of the prism's base is 38.5 square meters.
a.
has an average value on [5, 11] of

b. The mean value theorem guarantees the existence of
such that
. This happens for

Multiply to remove the variable from the denominator.
8 and -7. 8 + (-7) = 1 and 8 times -7 = -56