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2 years ago

Which describes the process of finding the volume of a cylinder? (Help ASAP)

Mathematics

1 answer:

andrew11 [14]2 years ago

8 0

The one on the right is correct. please give brainliest.

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Find the parametric equations for the line that is tangent to the given curve at the given parameter (3cost)i (t^4 -3sint)j

ale4655 [162]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

So,

$\to r(0) = (3 \cos 0)i + (0^4 - 6 \sin 0)j + (2e^{3\times 0})k)$

$= (3 \times 1)i + (0 - 0)j + (2e^{0})k)\\\\ = 3i + 0j + (2 \times 1)k)\\\\ = 3i + 0j + 2k \\$

The value of the coordinates are $3, 0, 2$ . so, the equation of the line is:

$\to \frac{(x-3)}{3 \cos \ t} = \frac{(y-0)}{(t^{4}-6 \sin \ t)} = \frac{(z-2)}{2e^{3t}}=k$

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3 years ago

Evaluate the line integral c y3 ds,<br> c.x = t3, y = t, 0 â‰¤ t â‰¤ 3

Temka [501]

$\displaystyle\int_{\mathcal C}y^3\,\mathrm dS=\int_{t=0}^{t=3}t^3\sqrt{1^2+(3t^2)^2}\,\mathrm dt=\int_0^3t^3\sqrt{1+9t^4}\,\mathrm dt$

Take $u=1+9t^4$ so that $\mathrm du=36t^3\,\mathrm dt$ . Then

$\displaystyle\int_{\mathcal C}y^3\,\mathrm dS=\frac1{36}\int_{u=1}^{u=730}\sqrt u\,\mathrm du=\frac{730^{3/2}-1}{54}$

7 0

3 years ago

Factor the following question x^{2} -9x-36

Klio2033 [76]

Step-by-step explanation:

${x}^{2} - 9x - 36 \\ (x - 12)(x + 3)$

3 0

3 years ago

Is 5/8 more than 2/3

Andre45 [30]

No. 2/3 is bigger than 5/8 because if you convert them to where the denominator is the same, 5/8= 15/24 and 2/3 is equal to 16/24

8 0

3 years ago

There were two trees growing from seeds in a backyard. One tree grew at a rate of 1//2 of a foot every 2 years. The other grew 4

Ann [662]

Answer:

The height between the two trees will be 1.67 feet.

Step-by-step explanation:

What you do is you take the 1/2 have and times it by 6 because it is every two years that the tree grows 1/2 of a foot. So it will be 3 feet. The other tree grew 4 inches in 3 years so it will be 16 inches you will then have to make the 16 inches into feet to get 1 1/3. You will then minus the 3 feet and the 1 1/3 to get 5/3 or 1.67 feet.

7 0

3 years ago

Which describes the process of finding the volume of a cylinder? (Help ASAP)​

Which describes the process of finding the volume of a cylinder? (Help ASAP)