Ariel has made a circular flower garden in her yard and she would like to put a plastic border around it. The garden has a radiu
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Answer:
Rate of change of the area of the square is 42 units at t = 2.
Step-by-step explanation:
We note that the area of the square is given by: but we aim to find
. But we can use the chain rule to pull out that dA/dt. Doing so gives us:
Now, (by the power rule and
But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.
So, finally, we see that:
y - 6 = 4(1 - 4)
y - 6 = 4 - 16
y - 6 = -12
y = -12 + 6
y = -6
This is a horizontal line through the point (0, -6). See below.
