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Gnoma [55]
3 years ago
13

Please answer please

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

that's wrong

Step-by-step explanation:

so yesThese icons are frequently found in the Quick Launch area. (Choose all that apply) Show Desktop icon My Documents directory Recycle Bin Windows Media Player Internet Explorer. best new y jk lol idk what that is XD

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Convert the integral below to polar coordinates and evaluate the integral.
Lelechka [254]

Answer:

\int\limits_{0}^{4/\sqrt{2}}\int\limits_{y}^{\sqrt{16-y^2}}  xy \, dxdy =  \int\limits_{0}^{\pi/4} \, \int\limits_{0}^{4}    r^3 cos(\theta)\sin(\theta) \,\,  drd\theta = 16

Step-by-step explanation:

We are trying to evaluate this integral.

\int\limits_{0}^{4/\sqrt{2}}\,\,\int\limits_{y}^{\sqrt{16-y^2}}  xy \,\,dxdy

The first thing that we have to do is understand this region in the plane.

\{ (x,y) \in \mathbb{R} :  0\leq y \leq \frac{4}{\sqrt{2}} \,\, , y \leq x \leq \, \sqrt{16-y^2}   \}

If you graph it looks something like the photo I join.

Now we need to describe that same region in polar coordinates.

That same region in polar coordinates would be

\{ (r,\theta) : \,\, 0 \leq \theta \leq \frac{\pi}{4}  \,\,\, 0\leq r \leq 4  \}

Now remember that when we do the polar transformation we use the following formula

\int\limits_{a}^{b} \, \int\limits_{c}^{d}    f(x,y) \,dxdy =  \int\limits_{\theta_1}^{\theta_2} \, \int\limits_{r_1}^{r_2}    r* f(rcos(\theta),rsin(\theta))  \,drd\theta

Then our integral would be

\int\limits_{0}^{4/\sqrt{2}}\int\limits_{y}^{\sqrt{16-y^2}}  xy \, dxdy =  \int\limits_{0}^{\pi/4} \, \int\limits_{0}^{4}    r^3 cos(\theta)\sin(\theta) \,\,  drd\theta = 16

6 0
3 years ago
Tina ordered a pizza for lunch. The pizza is round and has a radius of 8 inches. Tina only ate 13 of the pizza and took home the
Alex Ar [27]

Correction

brainly.com/question/15712098

Answer:

67.02\ in^2

Step-by-step explanation:

-We find the surface area of the formula as follows:

A=\pi r^2, \ \ r=radius=8\ in\\\\=\pi \times 8^2\\\\=201.06\ in^2

#We then find the area of the remaining fraction if she only ate one third:

Eaten=\frac{1}{3}\times Area\\\\=\frac{1}{3}\times 201.06\ in^2\\\\=67.02\ in^2

Hence, Tina ate 67.02\ in^2 of the pizza.

3 0
2 years ago
5 ordinary quarters and have a quarter with two heads are placed in a hat. one quarter selected at random and tossed twice. if t
elena-14-01-66 [18.8K]
1/6
 Any of the 6 coins could have that outcome.
3 0
3 years ago
Hey could someone helpp me pls
Minchanka [31]

Answer: $5.54

Step-by-step explanation: 63 divided by 100 is 0.63, 0.63 x 8.8 is 5.544 and 5.544 rounded to the nearest cent is $5.54

5 0
2 years ago
Determine the range of the function.
HACTEHA [7]
Answer is A all real numbers
5 0
3 years ago
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