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PilotLPTM [1.2K]

3 years ago

12

The length of the art table is 2 meters. The width is 1 meter. If Ms.Buji wants to cover the top of the table with paper. How ma

ny square meters will she need?

1 answer:

NeTakaya3 years ago

3 0

The answer for this is 2 square meters

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Graph the quadratic variation if g(x) varies directly with x^2, and g(x) = 75 when x = 5.

Darina [25.2K]

Answer:

Third graph from the top

Step-by-step explanation:

Formula for g(x) is g(x) = 3 · x∧2

When we replace x=5 in the formula we get:

g(5) = 3 · 5∧2 = 3 · 25 = 75

God with you!!!

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2

Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

but the integrand is even, so this is really just

$\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

Substitute x = 1/2 arccot(u/2), which transforms the integral to

$\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du$

There are lots of ways to compute this. What I did was to consider the complex contour integral

$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

$\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}$

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

and it follows that

$\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}$

7 0

2 years ago

Which function is an odd function?

Mrac [35]

Answer:

Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f.

Step-by-step explanation:

7 0

3 years ago

Find the value of x that makes ABCD a parallelogram

Studentka2010 [4]

Can you please show attachments.

3 0

3 years ago

Read 2 more answers

I GIVVEEE BRAINLILSTTT

inysia [295]

The answer is (3, -5). I hope this helped

4 0

3 years ago