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jok3333 [9.3K]
2 years ago
15

Find the area of the surface the part of the plane y=x^2 y^2 cylinder x^2 z^2=16

Mathematics
1 answer:
Anestetic [448]2 years ago
8 0

The area of the surface is 144.708

The equation of the given surface is,

z=g(x,y)=xy

Solving the partial derivatives,

∂g∂x=y,∂g∂y=x

Substituting to the formula

S=∬√1+( ∂g∂x)2+(∂g∂y)2dA

Thus,

S=∬√1+(y)2+(x)2dAS=∬√1+x2+y2dA

The region in the XY-plane is defined by the intervals  0≤θ≤2π,0≤r≤4

Converting the integral into polar coordinates,

S=∫2π0∫40√1+r2rdrdθ

Integrating with respect to r

S=∫2π0[13(1+r2)32]40dθ

S=∫2π0(17√173−13)dθ

Integrating with respect to θ

S=(17√173−13)[θ]2π0

S≈144.708

For more information about areas, visit

brainly.com/question/22972014

#SPJ4

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Please help me thank you.
Alexxandr [17]

Answer:

B

Step-by-step explanation:

3      -4    |   2

0      -1     |   7

3/2    -2    |   1

R1/3 ----> R1  (divide Row 1 by 3)

1       -4/3    |  2/3

0        -1      |   7

3/2      -2     |   1

R3 - 3/2  R1 -------> R3 (multiply Row 1 by 3/2 and subtract it from Row 3)

1      -4/3    |   2/3

0       -1      |    7

0       0      |    0

R2 / -1 -------> R2 (Divide Row 2 by -1)

1      -4/3   |  2/3

0        1     |   -7

0        0    |   0

R1 + 4/3 R2 --------> R1 (Multiply Row 2 by 4/3 and add it to Row 1)

1     0     |   -26/3

0    1      |      -7

0    0     |      0

5 0
3 years ago
Elizabeth made a scale drawing of her school's basketball court before devising a winning
brilliants [131]

The answer to this question would be 5 by 9.

3 0
1 year ago
Read 2 more answers
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8?
zmey [24]
2x² + 3x -8 = 0

a = 2 , b = 3 , c = -8
So..
D = b²-4ac = 9 + 64 = 73

for bigger solution , use x = -b + √D / 2a
For smaller solution, use x = -b - √D / 2a

So
= -3 + √73 / 2. 2
= 1/4 (√73 -3)

Hopefully helpfull.. ^_^
8 0
3 years ago
Read 2 more answers
How do I solve this??
tresset_1 [31]

Answer:

x = 7.5

Step-by-step explanation:

Since DF bisects ∠CDE then

∠EDF = ∠CDF, hence

8x = 4x + 30 ( subtract 4x from both sides )

4x = 30 ( divide both sides by 4 )

x = 7.5


4 0
3 years ago
Samantha plays on the softball team for her school she strikes out twice after nine times she is at bat if she struck out 14 tim
poizon [28]

Answer:

she got back 63 times

Step-by-step explanation:

Here, we want to know the number of times she is at bat

from the question, we are made to know that she strikes out twice after 9 times

So striking out 14 times, the number of times she has got back will be ;

14/2 * 9 = 63 times

3 0
3 years ago
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