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 slope is -9/7. I don’t have an explanation because I used an online calculator but that’s the answer in case you don’t have to show work.
This is a one-step equation. All you need to do is multiply the 2.5 over to the 20 to get x by itself.
x=50
Hope this helps!
Answer:
B. 18 cm.
Step-by-step explanation:
Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.
2 * x = 12 * 3
2x = 36
x = 18
So, the length of ED is B. 18 cm.
Hope this helps!
Answer:
7
Step-by-step explanation:
1. Do 49÷7 to get the average of 7
