Answer:
5/2x, 5/2 y
Step-by-step explanation:
An enlargement means the scale factor must be greater than one
The only choice with a scale factor greater than one is 5/2x, 5/2 y
Answer:
D
Step-by-step explanation:
Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.
Answer:
(a)
(b)
(c)43 times
Step-by-step explanation:
<u>Part A</u>
The paper's thickness = 0.05mm
When the paper is folded, its width doubles (increases by 100%).
The thickness of the paper grows exponentially and can be modeled by the function:

<u>Part B</u>
<u />
<u />
<u />
<u>Part C</u>
If the thickness of the paper, g(n)=384,472,300,000 mm
Then:

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.
Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2
Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.
When z = 4, the rate is 4.
Answer: (a) e ^ -3x (b)e^-3x
Step-by-step explanation:
I suggest the equation is:
d/dx[integral (e^-3t) dt
First we integrate e^-3tdt
Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.
(b) to differentiate the integral let x = t, and substitute into the expression.
Therefore dx = dt
Hence, d/dx[integral (e ^-3x dx)] = e^-3x