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ludmilkaskok [199]
3 years ago
8

Someone solve this for me thanks

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0
Step by step

On how to answer

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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
2 years ago
The volume of the cylinder above is 2,314.25, and the radius of the base is 8.9 Find the volume of the cone.
olga55 [171]

Answer: 771.41\ units^3

Step-by-step explanation:

The missing figure is attached.

The volume of an oblique cylinders and the volume of  a right cylinder can be found with this formula:

V_{cy}=\pi r^2h

Where "r" is the radius and "h" is the height.

The volume of an oblique cone and the volume of  a right cone can be found with this formula:

V_{co}=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height.

According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:

V_{cy}=2,314.25\ units^3\\\\r=8.9\ units

Therefore, in order to find the volume of the cone, you only need to multiply the volume of the cylinder by \frac{1}{3}.

Then, you get:

V_{co}=\frac{1}{3}(2,314.25\ units^3)\\\\V_{co}=771.41\ units^3

8 0
3 years ago
Read 2 more answers
I need help on this please help!
Licemer1 [7]

Answer:

(b)0.56

(c)0.38

Step-by-step explanation:

(a)

P(Ben Pass) =0.8

Therefore: P(Ben fails)=1-0.8 =0.2

P(Tom Pass) =0.7

Therefore: P(Tom fails)=1-0.7 =0.3

See attached for the completed tree diagram

(b)Probability that both will pass

P(both will pass)=P(Ben pass and Tom pass)

=P(Ben pass) X P(Tom pass)

=0.8 X 0.7

=0.56

(c)The probability that only one of them will pass

Since either Tom or Ben can pass, we have:

P(only one of them will pass)

=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)

=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)

=(0.8 X 0.3) + (0.2 X 0.7)

=0.24 + 0.14

=0.38

8 0
3 years ago
What is the mass and charge of a<br> neutron and a proton? Where are<br> they found in an atom?
djyliett [7]

Answer:

Step-by-step explanation:

Neutron: has mass and no charge

Protons: has mass and a positive charge

7 0
3 years ago
|x+8|=x+8 what is x?
Darya [45]

Answer:

x ≥ 0

Step-by-step explanation:

The absolute value of x+8 equals itself, thus x must be a real number (0 or any positive number).

7 0
3 years ago
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