The answer to the question is x = 0
The answer is the last option: 
Explanation:
1. You have that the equation of the line is:

Where
is the slope of the line and
is the intercept with the y-axis.
2. Therefore, you must find
.
3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for
, as following:

Answer:
The height of the trough is about 1.5 ft
Step-by-step explanation:
If each cubic foot of water contains about 7.5 gallons.
Then; 315 gallons is about 
Let h be the height of the trough, then

This implies that;

Divide both sides by 28 to get:


The height of the trough is about 1.5 ft
Answer:
a) This integral can be evaluated using the basic integration rules. 
b) This integral can be evaluated using the basic integration rules. 
c) This integral can be evaluated using the basic integration rules. 
Step-by-step explanation:
a) 
In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:

so in this case we would get:


b) 
In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:

So we can now use the power rule of integration:



c) The same applies to this problem:

and now we can use the power rule of integration:


