Answer:
The answer is below
Step-by-step explanation:
a) The integral 
means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am
b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:
c) Using casio calculator to evaluate the integral gives:
= 2.54 inches
D) The total daily change in water level = 
= 0.35 inches
Answer:
Step-by-step explanation:
Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
= 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9
It's an arithmetic progression with first term = 8 and common difference d =2:
so the next term is 14 + 2 = 16
