Mathematics
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12.08.2022

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17.02.2022, solved by verified expert

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Maximum height = 105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

Where t is the time in second.

Differentiating equation (1) with respect to t,

Again differentiating above equation with respect to t,

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

Unlock the full answer

Maximum height = 105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

Where t is the time in second.

Differentiating equation (1) with respect to t,

Again differentiating above equation with respect to t,

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

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