Answers A,C, and D are equivalent to 3:1
The answer is A...
(5 , -4) ...
if you need the steps let me know
Yes you have the right idea. You find the derivative to get the velocity function and then determine when the velocity is zero. That turns out to be at t = 2 and t = 6. Both are correct. The final answer is correct.
The only flaw I see is that you wrote
x'(t) = 3y^3 - 24t + 36
on line 2 when it should be
x'(t) = 3t^2 - 24t + 36
Other than that it looks perfect.
You can figure that out as follows:
QS : QS' = 4 : 8 = QU : QU' = 5 : 10 = 1 : 2
Then the scale factor is <span>of the dilation is 2 (magnification)
</span>
I hope that
helps!