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2 years ago

I NEED HELP ASAP

Mathematics

1 answer:

Artyom0805 [142]2 years ago

4 0

Answer:

Step-by-step explanation:

9 x 8 = (10 x 8) - (1 x 8)

= 80 - 8

= 72

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Which one is NOT a monomial

Valentin [98]

A because it’s a binomial

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2 years ago

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Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

Answer- Length of the curve of intersection is 13.5191 sq.units

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,

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

8 0

3 years ago

PLEASEEE HELP -7a + 2b

Y_Kistochka [10]

Answer:

There are no like terms.

so its -7a+2b

Step-by-step explanation:

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3 years ago

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it cost $45 to produce 2 calculators and $143 to produce 4 and $869 to produce 10 how much does it cost to produce 7 calculators

erica [24]

Answer:

210.50

Step-by-step explanation:

45/ 2 = 22.5

4 = 143

2= 45

+ 1 = 22.5

in total = 210.50

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3 years ago

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AleksAgata [21]

Answer:

Step-by-step explanation:

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3 years ago