2 years ago

Find the area of the shape (round to nearest tenth if necessary )

Mathematics

1 answer:

Naddika [18.5K]2 years ago

5 0

Answer:

still

Step-by-step explanation:

still thinking sorry

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The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate

andriy [413]

Answer:

The average rate of change

$\frac{dh}{d t} = 70 (1) - 16(2t)$

At t = 1

$\frac{dh}{d t} = 70 (1) - 16(2t) = 38$

at t=3

Step-by-step explanation:

Step(I):-

The given function h(t) = 3+70t - 16t²

$\frac{dh}{d t} = 70 (1) - 16(2t)$

The $\frac{dh}{d t} = 70 (1) - 16(2t) =0$

70 - 32 t = 0

⇒ 70 = 32 t

⇒ $t = \frac{70}{32} = \frac{35}{16}$

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

$\frac{dh}{d t} = 70 (1) - 16(2t)$

At t = 1

$\frac{dh}{d t} = 70 (1) - 16(2t) = 38$

At t = 3

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