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3 years ago

X(t) = t^3 - 12t^2 + 36t

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Yes you have the right idea. You find the derivative to get the velocity function and then determine when the velocity is zero. That turns out to be at t = 2 and t = 6. Both are correct. The final answer is correct.

The only flaw I see is that you wrote
x'(t) = 3y^3 - 24t + 36
on line 2 when it should be
x'(t) = 3t^2 - 24t + 36

Other than that it looks perfect.

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3 and a Half cubes of sand transported at once. How many times do vehicle travel to transport 28 sand cubes.

Tema [17]

Answer:

8 times

Step-by-step explanation:

28/3.5 = 8

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3 years ago

A dollar bill is about 15.5 cm long. If seventeen trillion dollar bills were laid end to end around the Earth's equator, how man

Mariana [72]

Answer:

The dollar bills would encircle earth 65753.1 times

Step-by-step explanation:

We have

Length of dollar bill = 15.5 cm

Total dollar bills = 17 trillion = $17\times 10^{12}$

Thus the length of 17 trillion dollar bills equals

$15.5\times 17\times 10^{12}cm\\\\=263.5\times 10^{12}cm\\\\=\frac{263.5\times 10^{12}}{10^{5}}km\\\\=263.5\times 10^{7}km$

Now taking shape of earth as a perfect sphere the circumference of earth becomes

$C=2\pi r\\\\=2\times \pi \times 6378km\\\\=40074.1558km$

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3 years ago

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yawa3891 [41]

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2 years ago

Find the area of the shaded region. Leave your answer in terms of and in simplest radical form.

jarptica [38.1K]

Given:
Radius = 12 m

Area of a circle = π r²
A = 3.14 * (12m)²
A = 3.14 * 144 m²
A = 452.16 m²

360°/60° = 6

452.16 m² * 5/6 = 376.80 m² Area of the remaining circle.

Area of the equilateral triangle = (√3/4) a²
* radius of the circle is the side length of the triangle.
A = (√3/4) * (12m)²
A = 0.433 * 144m²
A = 62.352 m²

Area of the shaded region = 376.80m² + 62.352m²

Area of the shaded region = 439.152 m²

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4 years ago

What is the answer to -6+(-4)

Nuetrik [128]

The answer to your question would be -10

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3 years ago

Read 2 more answers