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Goshia [24]
3 years ago
7

Solve. Show work please. Passing through (-4,-1) and (3,4)

Mathematics
1 answer:
kvasek [131]3 years ago
3 0
What are you asking exactly
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Find the area of the surface the part of the plane y=x^2 y^2 cylinder x^2 z^2=16
Anestetic [448]

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

8 0
1 year ago
Coach barron bought 66 pounds of ice cream for the end of the year little league social. there are 8 teams, each with 12 people.
frozen [14]
Each person gets about 9.75 ounces of ice cream 
4 0
3 years ago
What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3
liq [111]

Answer:

<u>Domain = R - {3/2}</u>

Step-by-step explanation:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0

The given function is :

f(x) = \frac{x-5}{2x-3}

We need to find the zeros of the denominator

∴ 2x - 3 = 0    ⇒ add 3 to both sides

∴ 2x = 3          ⇒ divide both side by 2

∴ x = 3/2        

The domain will be all real number except the zeros of the denominator.

So, Domain = R - {3/2}

Also, see the attached figure that represents the given function.

7 0
3 years ago
HELP ME pls
Andreas93 [3]

Answer:

34 and 30

Step-by-step explanation:

8 times 3 = 34

and 34-4=30

divide 8 by 2 and you'll get 4

so, 34-4=30

4 0
3 years ago
SOMEONE PLEASE HELP ME!
Margarita [4]
36 over 25 is the answer Give the other person brainiest    Thank U!
8 0
2 years ago
Read 2 more answers
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