a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

Then by linearity, we have

The second one is the correct equation. The constant to the right should be the diameter squared, while the numbers inside the parentheses should be the opposite.
Slope = (9-3)/(5-2) = 6/3 = 2
answer
<span>A) 2 </span>
Answer:
48
Step-by-step explanation:
The mean of a number is the sum of all the numbers divided by how many numbers there are. We can set up this formula:
.
When we plug our values into this equation, we get:
. Solving this equation gets us sum = 6 * 8 = 48