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This is a calculus question. Please show all steps.Thank you A cylinder is growing in volume such that its radius is given by r(t) =

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This is a calculus question. Please show all steps.Thank you

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A cylinder is growing in volume such that its radius is given by r(t) = v2t + 3 and its height is given by h(t) = 3vt + 1, where t is the number of seconds since the cylinder began to grow and h(t) and r(t) are both in centimetres. How much faster is the volume of the cylinder growing when its radius is 5 cm compared to when its height is 9 cm? Round your final answer to the nearest hundredth. Make sure to show all work for your calculation. Question #4: Sam applies the brakes steadily to his car, which is travelling at 20 m/s. The position of the car (relative to where he started applying the brakes) t seconds after he begins to slow down is given by s(t) = 20t - 0.3t3. How far did the car travel before it came to a stop? What was the deceleration of the car when it had travelled 37.6 m after applying the brakes? Round your final answers to the nearest tenth. Make sure to show all work for your calculation

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