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3 years ago

What is 5 1/6 - 5 1/2

Mathematics

2 answers:

tigry1 [53]3 years ago

8 0

Answer:

-2/6

Step-by-step explanation:

change 5 1/6 into 31/6. then change 5 1/2 into 33/6. 31/6- 33/6 = -2/6

Ymorist [56]3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

51/6 = 51/6

51/2= 5 3/6

= 2/6

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Solution-

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

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3 years ago

O.45 is equals to what in a fraction

Deffense [45]

It’s equal to 45/100 which equals 9/20

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3 years ago

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Answer:

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3 years ago

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