SOMEONE PLEASE HELP ME ASAP PLEASE!!

Mathematics

1 answer:

kogti [31]3 years ago

8 0

Y = 4/5 + (-2)
Explanation: try this out yourself to see if it works

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∫∫(x+y)dxdy ,d là miền giới hạn bởi x²+y²=1

igor_vitrenko [27]

It looks like you want to compute the double integral

$\displaystyle \iint_D (x+y) \,\mathrm dx\,\mathrm dy$

over the region D with the unit circle x ² + y ² = 1 as its boundary.

Convert to polar coordinates, in which D is given by the set

D = {(r, θ) : 0 ≤ r ≤ 1 and 0 ≤ θ ≤ 2π}

and

x = r cos(θ)

y = r sin(θ)

dx dy = r dr dθ

Then the integral is

$\displaystyle \iint_D (x+y)\,\mathrm dx\,\mathrm dy = \iint_D r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \int_0^{2\pi} \int_0^1 r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \underbrace{\left( \int_0^{2\pi}(\cos(\theta)+\sin(\theta))\,\mathrm d\theta \right)}_{\int = 0} \left( \int_0^1 r^2\,\mathrm dr \right) = \boxed{0}$

3 0

2 years ago

Translate and solve: eight more than the product of three and a number is -13

Murrr4er [49]

Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7

6 0

3 years ago

what is the altitude corresponding to the side of length 8.5 CM in a parallelogram whose area is 34 CM square

Crazy boy [7]

Area = length of base × altitude
34 = 8.5 × a
34 = 8.5a
a = 34/8.5
a = 4

The altitude of the corresponding side is 4 cm

4 0

2 years ago

You roll a 6-sided die two times. What is the probability of rolling a 2 and then rolling a 3?

docker41 [41]

Answer:

The answer is 1/3 or 4 out 12

Step-by-step explanation: