A word to the wise: It's <span> f(x)=125(0.9)^x, where ^ represents exponentiation.
In this case the ave. value over the interval [11, 15] is
125(0.9)^15 - 125(0.9)^11
------------------------------------- = (125/4) [ 0.9^15 - 0.9^11)
15 - 11 = (31.25) [ 0.2059 - 0.3138 ] = a negative result
= (31.25)(-0.1079) = -3.372 (av. r. of c.
over the interval [11,15] )
Do the same thing for the time interval [1,5]. Then compare the two rates of change.</span>
Answer: Dilation is a transformation that proportionally reduces or enlarges a figure.
Step-by-step explanation:
- A dilation a transformation that changes the size of the shape by using scale factor in particular ways .
It stretches or shrinks the actual figure. It produces similar figures.
Since the corresponding sides of similar figures are in proportion.
⇒ It proportionally reduces or enlarges a figure.
Hence, A dilation is a transformation that proportionally reduces or enlarges a figure.
Answer with Step-by-step explanation:
We are given that if f is integrable on [a,b].
c is an element which lie in the interval [a,b]
We have to prove that when we change the value of f at c then the value of f does not change on interval [a,b].
We know that limit property of an integral
....(Equation I)
Using above property of integral then we get
......(Equation II)
Substitute equation I and equation II are equal
Then we get
Therefore, 
.
Hence, the value of function does not change after changing the value of function at c.
