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sleet_krkn [62]
3 years ago
14

Evaluate the double integral ∬Ry2x2+y2dA, where R is the region that lies between the circles x2+y2=16 and x2+y2=121, by changin

g to polar coordinates.

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

See answer and graph below

Step-by-step explanation:

∬Ry2x2+y2dA

=∫Ry.2x.2+y.2dA

=A(2y+4Ryx)+c

=∫Ry.2x.2+y.2dA

Integral of a constant ∫pdx=px

=(2x+2.2Ryx)A

=A(2y+4Ryx)

=A(2y+4Ryx)+c

The graph of y=A(2y+4Ryx)+c assuming A=1 and c=2

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find the value of 10 times the square root of 2 over the square root of 5.. a. 2 b. 2 times the square root of 5. c. 2 the squar
Marizza181 [45]
\dfrac{10\sqrt2}{\sqrt5}=\dfrac{10\sqrt2\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\dfrac{10\sqrt{2\cdot5}}{5}=\boxed{2\sqrt{10}}\to\fbox{c.}
6 0
3 years ago
Nehal is a real estate developer, and he is designing a new neighborhood. The neighborhood will have four streets, each of which
ololo11 [35]

Answer:

240 houses

Step-by-step explanation:

Given that:

Number of streets = 4

Length of each street = 3/4 miles long

Street is divided into lots with one house built per lot

1 mile = 5289 feets

3/4 miles = (3/4) * 5280 = 3960 feets

Hence, street is 3960 feets long

Since each lot must have at least 65 feet frontage along the street:

Number of lots per street :

Length of street / frontage length

3960 ft / 65 ft = 60.92

Hence, maximum number of lots per street = 60 lots per street

Maximum number of houses in New neighborhoods :

Number of lots per street × number of streets

= 60 × 4

= 240 houses

4 0
3 years ago
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
sashaice [31]

Answer:

A. 4 ft 2 in.

Step-by-step explanation:

50/12 = 4.1666667. Round up, so 4.1666667 becomes 4.2.

8 0
3 years ago
Read 2 more answers
Someone please help me with this and explain it please.
Yuki888 [10]
<h3>Answer: Choice D) \sqrt{34}, 6, 2\pi, \sqrt{42}</h3>

===========================================

Explanation:

Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)

  • 2pi = 6.28
  • sqrt(42) = 6.48
  • sqrt(34) = 5.83

We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48

So the order of the terms, from smallest to largest, is \sqrt{34}, 6, 2\pi, \sqrt{42}

5 0
3 years ago
What is the volume of the cube?
DENIUS [597]

Answer:

d) 343 cm^3

Step-by-step explanation:

Because you are talking about volume of a cube, that means all sides are equal. The equation for volume is length x width x height. Since all sides of the cube are equal and you are given the height, 7 cm, you will need to multiply 7 three times. Your equation would be 7 x 7 x 7. Then, 7 x 7 is 49 and 49 x 7 is 343. Don't forget, because we are talking volume, to put the cubed. So, your answer is 343 cm^3.

3 0
3 years ago
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