A spot of light is made to travel across a computer screen in a straight line so that, a t seconds after starting, it's distance from the left hand edge (d cm) is given by the function d(t) =7t - t² +2. Find the furthest distance the spot light travels and how long it takes to travel this distance.

Answers

Answered by Reiny
so you just want the max of d(t)

find the derivative, set it equal to zero, and solve that for t

Once you have the value of t which gives you the maximum, plug it back into d(t) to actually find that distance.
Very straight-forward.

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