i (3 points) At each point on the curve y = f (x), the slope of the curve is equal to its ycoordinate multiplied by 1/4. If its graph goes through...
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i (3 points) At each point on the curve y = f (x), the slope of the curve is equal to its
y—coordinate multiplied by 1/4. If its graph goes through the point (In (81), 36), then find
a formula for f (9:). Simplify your answer.

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(3 points) A bullet is shot upward from the surface of a planet so that its height in meters until Coming to rest is given by the equation s(t) = 195t —— 6.5152 where t is measured in
seconds. At what time does the bullet reach its maximum height?

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(4 points) There is a launch site for a hot—air balloon on the ground 20'meters away from
an observer. The balloon rises vertically at a constant rate of 2 meters per second. How
quickly is the angle of elevation of the balloon increasing 5 seconds after its launch?

Top Answer

a) d /dt = 32 rad... View the full answer

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