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Answer on Mechanics | Relativity Question for Sedrick

Question #62490
1. At what point of the parabola y= x^2-3x-5 is the tangent line parallel to 3x-y=2? Find the equation of the tangent line.
2. For the curve y=x^2+x at what point does the normal line at (0,0) intersects the tangent line at (1,2)?
3. A water bucket containing 10 gal of water develops a leak at time t=0 and the volume V of water in the bucket t seconds later is given by
until the bucket is empty.
a) At what time would the bucket be emptied?
b) At what rate is water leaking from the bucket after exactly 1 minute has passed?
c) When is the instantaneous rate of change of V equal to the average rate of change of V from t=0 to t=100?
4. A car is travelling at 100 fps when the driver suddenly applies the brakes. The position function of the skidding car is
how far and for how long does the car skid before it comes to a stop?
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