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2 years ago

Name the square root of 18ab and of 3bc

Mathematics

1 answer:

Dafna11 [192]2 years ago

8 0

Answer:

6 to the power 1/2 to the power 1/2 whereas3bc= 3 to the power 1/2 b to the power 1/2 c to the power 1/2

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An inequality can have more than one solution

ratelena [41]

True. If there is a point in the middle that is false, we have two create 2 solutions.

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3 years ago

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,

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

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3 years ago

What is the measure of ABD

Paladinen [302]

Answer:

Where is the question?

Step-by-step explanation:

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3 years ago

On a 4 1/2 hour trip Leslie drove 2/3 of the time for how many hours did Leslie drive

Greeley [361]

Answer:

3 hours

Step-by-step explanation:

4.5*(2/3)

= 3 hours

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3 years ago

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I can't find a down arrow soo look at the image please!!

Zina [86]

Answer:

the answer would be 16

Step-by-step explanation:

12 1/2 - -4 1/2=??? 1/2 - 1/2= 0 so 12 - -4=16

hope this helps

7 0

3 years ago

Read 2 more answers

Name the square root of 18ab and of 3bc​

Name the square root of 18ab and of 3bc