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Likurg_2 [28]
3 years ago
9

Please help me with this problem aspa

Mathematics
1 answer:
Flura [38]3 years ago
4 0

Answer:

See below and attached picture

Step-by-step explanation:

a. To graph the equation set y = 0 and solve for t.

y = -16t² + 100

0 = -16t² + 100

100 = -16t²

6.25 = t²

+/- 2.5 = t

Mark the points (-2.5,0) and (2.5,0). Then mark the highest point at (0,100). Draw a curve or parabola to connect the points.

b. Domain is the set of t values. This is the time it's in the air. The graph shows it at height 100 at t = 0 and at height 0 at t = 2.5. The domain is [0, 2.5].

Range is the set of y values. This is the height of the object. The graph shows it at height 100 at the beginning and then falls to height 0. The range is [0,100].

c. The graph has the point (1,84). This means it was at height 84 feet at 1 second.

d. The graph has a point about (1.75, 50). This means at about 50 feet it was 1.75 seconds.

e. The shingle is at height 0 feet at 2.5 seconds when it crosses the x-axis.

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This equation is separable,

\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt

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Solve for C using the initial value.

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Then the particular solution is

\boxed{A(t) = 6e^{-6t}}

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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_____

<em>Using an equation</em>

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