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:
The equation of the line is:
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
Then
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
The equation of the line is: