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Charra [1.4K]
3 years ago
15

354,738 rounded to the nearest thousand

Mathematics
2 answers:
stealth61 [152]3 years ago
6 0

Answer:

your answer is 400,000.

Step-by-step explanation:

Olegator [25]3 years ago
4 0

Answer:

355,000

Step-by-step explanation:

if the number after thousands is larger than 5 round it to the next number

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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]

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<u>Solution-</u>

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

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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

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  \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

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= \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}

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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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PLS HELP. 16points. Please number your responses to the questions as they are shown (1 and 2).
anastassius [24]
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