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2 years ago

6. Camille is a first year accountant and a recent college graduate. She is paid a salary

Mathematics

1 answer:

Marina CMI [18]2 years ago

4 0

jk ima awnser in one sec

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The length of a quarter is 0.955 inch. Round the length of a quarter to the nearest tenth of an inch./8925047/32fb89d7?utm_sourc

m_a_m_a [10]

0.2387528472385828522

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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]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

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

If you place a 5 foot ladder against the top of a 4 foot building, how many feet will the bottom of the ladder be from the botto

torisob [31]

I think it’s 1 feet because the tops are touching you have to spread the bottoms apart so it can touch

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3 years ago

Read 2 more answers

PLEASE HELP !!!

Wewaii [24]

Answer:

Step-by-step explanation:

its quadratic because it has the almost oval-ish shape

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3 years ago

The solution to a system of two linear equations is x = 3: y = 9. How could the intersection of the graphs of the two equations

Fynjy0 [20]

C because x is positive so it moving right and y is positive so it moves up

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3 years ago