3 years ago

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4pi

Mathematics

1 answer:

Advocard [28]3 years ago

5 0

Answer:

Step-by-step explanation:

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Assume x=x(t) and y=y(t). Find dx/dt if x^2(y-6) = 12y + 3 and dy/dt = 2 when x = 5 and y = 12

777dan777 [17]

$x^2(y-6)=12y+3$

Differentiate:

$2x\dfrac{\mathrm dx}{\mathrm dt}(y-6)+x^2\dfrac{\mathrm dy}{\mathrm dt}=12\dfrac{\mathrm dy}{\mathrm dt}$

Plug in everything you know: $\dfrac{\mathrm dy}{\mathrm dt}=2$ , $x=5$ , and $y=12$

$2(5)\dfrac{\mathrm dx}{\mathrm dt}(12-6)+5^2(2)=12(2)\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{13}{30}$

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3 years ago

Y = 2 - 2

Hunter-Best [27]

Answer:

B. No

Step-by-step explanation:

In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.

One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:

y =? 3x + 4

2 =? 3 * 4 + 4

2 =? 12 + 4

2 ≠ 16

Thus, we know that (4, 2) is not a solution and the answer is B.

<em>~ an aesthetics lover</em>

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3 years ago

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AnnyKZ [126]

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BARSIC [14]

Answer:

Step-by-step explanation:

Subtract 4 by 2.5 which is 1.5

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2 years ago

Five times a number divided by four

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