Average rate of change can be calculated by determining the
rate of change at x = a, and at x = b
f’(x) =2 (3^x) ln(3)
f’(0) = 2 ln(3)
f’(1) = 6 ln(3)
f’(2) = 18 ln(3)
f’(3) = 54 ln(3)
Average:
at section A = [6 ln(3) – 2 ln(3)]/1 = 4 ln(3)
at section B = [54 ln(3) – 18 ln(3)]/1 = 36 ln(3)
section B is 9 times larger.
Based from the f’(x), f’(x) varies as the power of x. so the
greater of value of x, the greater the rate of change.
Answer:
y = 6x
Step-by-step explanation:
For a vertical stretch, you simply multiply x by the factor you want to stretch it by. 3x • 2 is 6x.
Answer:
Yes totally friend, I totally hear you on that!! ^-^ Good luck for your weekend!!!
Step-by-step explanation:
If they are all in a line then we can find the equation of their line using: y = mx + b
First find m using points (2,5) and (3,3)
m = (5-3)/(2-3) = 2/-1 = -2
Now using (3,3) and m= -2 to solve for b:
3 = -2(3) + b
3 = -6 + b
9 = b
So our equation is y = -2x + 9
That is the solution for question b)
Now to find the mystery point, solve:
1 = -2x + 9
-8 = -2x
4 = x
So our mystery point is (4,1)
So for part a) the answer is k = 4
Answer:
d) Reciprocal
Step-by-step explanation:
Terri has revealed James a wealth of personal information about herself, but it seems that James has told Terri none personal information about himself in return. So, the revelation of secrets and personal information has not been reciprocal in their relationship. Reciprocal is something that expresses <u>mutual action or equal benefits</u> in an agreement or in a relationship.
