Answer:
The average value of
over the interval
is
.
Step-by-step explanation:
Let suppose that function
is continuous and integrable in the given intervals, by integral definition of average we have that:
(1)
(2)
By Fundamental Theorems of Calculus we expand both expressions:
(1b)
(2b)
We obtain the average value of
over the interval
by algebraic handling:
![F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)](https://tex.z-dn.net/?f=F%285%29%20-%20F%283%29%20%2B%5BF%283%29-F%28-2%29%5D%20%3D%2040%20%2B%20%28-30%29)



The average value of
over the interval
is
.
Answer:
no, because it has a constant rate of change
Step-by-step explanation:
this is because the x and y change at the same rate. non linear means that they dont change at the same rate.
Yes, they are equivalent. Another equivalent fraction would be any fraction that equals to 1. Eg. 9/9
20 times 5 is 100. We can multiply 2*5 and get 10, then add another zero to make it easier.
Answer:

Step-by-step explanation:
<u>Congruent Triangles</u>
The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.
Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

Solving


The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

Or

Thus

Solving

