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Luden [163]
2 years ago
6

Please answer the following…

Mathematics
1 answer:
Ymorist [56]2 years ago
4 0

Answer:

$75.22

$42

$5

Step-by-step explanation:

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Luden [163]

<span>The maxima of a differential equation can be obtained by getting the 1st derivate dx/dy and equating it to 0.</span>

<span>Given the equation h = - 2 t^2 + 12 t       , taking the 1st derivative result in:</span>

dh = - 4 t dt + 12 dt

<span>dh / dt = 0 = - 4 t + 12   calculating for t:</span>

t = -12 / - 4

t = 3 s

Therefore the maximum height obtained is calculated by plugging in the value of t in the given equation.

h = -2 (3)^2 + 12 (3)

h = 18 m

This problem can also be solved graphically by plotting t (x-axis) against h (y-axis). Then assigning values to t and calculate for h and plot it in the graph to see the point in which the peak is obtained. Therefore the answer to this is:

<span>The ball reaches a maximum height of 18 meters. The maximum of h(t) can be found both graphically or algebraically, and lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>

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3 years ago
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