Based on a grade 10 student, answer the following question: A ball is thrown from a cliff and follows the path given by h= -5t^2+10t+65 where h is the height in metres and t is the time in seconds. Determine the maximum height of the ball and the time that it reaches maximum height.

plot (-2, 3 1/2)

Find the derivative using the methods of Example 6 in the text. y = x8x y =

A submarine travels at elevation of 75 3/4 ft relative to sea level then it’s elevation changes by - 16 3/8

A stone is dropped off a 576-ft cliff. The height of the stone above the ground is given by the equation =h+−16t2576, where h is the stone's height in feet, and t is the time in seconds after the stone is dropped ≥t0.Find the time required for the stone to hit the ground.

A 12.5-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours that have elapsed since the candle was lit. a. Write an expression in terms of t that represents the number of inches that have burned from the candle since it was lit. I=12.5-1.2t * Preview b. Write an expression in terms of t that represents the remaining length of the candle (in inches). * Preview c. Determine if the following statements are true or false. Select an answer * The number of inches that have burned from the candle is proportional to the amount of time since the candle has been burning. o Select an answer * The remaining length of the candle is proportional to the amount of time since the candle has been burning. Select an answer * The change in the candle's height is proportional the amount of time since the candle has been burning.

find the difference quotient  y=x^2+x

y = -1(x-5)^2 + 3 Find range and domain

A batsman played with an average of 78 runs per match in first 28 matches. In the next 14 matches, he scored runs win an average of "x" runs per match so that his overall average becomes 80 runs per match. Find the value of “x”.

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