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.
Ok, so this is a spelling sort of work sheet, you need to say each word aloud and if the A in the word is long, then put it in the long A box, if it's a short sounding A, then put it in the short A box.
Hope this helps >.<
Answer:
the lateral area of the regular prism is 30 cm².
Step-by-step explanation:
Given;
the base of the regular prism, b 4cm
height of the prism, h = 2.5 cm
The lateral area of the regular prism is calculated as the product of the base perimeter and height of the prism.
L.A = P x h
where;
P is the perimeter of the base = 3 x 4cm (equilateral triangle has equal sides)
P = 12 cm
L.A = 12 cm x 2.5 cm
L.A = 30 cm²
Therefore, the lateral area of the regular prism is 30 cm².