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Mariulka [41]
3 years ago
7

What happened when the rabbit caught his head in a fan

Mathematics
2 answers:
snow_lady [41]3 years ago
8 0
What is this question asking
zloy xaker [14]3 years ago
8 0
It'd have a severe head injury depending on what type of fan and if it was on
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We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measure
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Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be h(t) = -16\cdot t^{2} + 128\cdot t + 320, the first and second derivatives are, respectively:

First Derivative

h'(t) = -32\cdot t +128

Second Derivative

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Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

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t = \frac{128}{32}\,s

t = 4\,s (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320

h(4\,s) = 576\,ft

The highest altitude that the object reaches is 576 feet.

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Step-by-step explanation:

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