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Anna007 [38]
3 years ago
5

X=|y| what is the domain and range ?

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

Domain: x ≥ 0

Range: All real numbers

Step-by-step explanation:

This is an absolute value function which creates a V for its graph. Since the absolute value is on y, the function is rotated to the right or sideways.

This means only the x values of 0 and greater are used in the function. Since the domain is the set of all x values then it is x≥0.

This also means that all y values are used on the y-axis. There is no restriction on the y values. Since the range is the set of all y values then it is all real numbers.

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Evaluate the surface integral. S xz ds, s is the part of the plane 2x 2y z = 4 that lies in the first octant
maksim [4K]

The value of the given surface integral is 4.

The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.

S(u,v)=(1-u)((1-u)(2,0,0)+u(0,2,0)+u(4,0,0)\\S(u,v)=(2(1-u)(1-v),2u(1-v),4v)

<h3>What is the surface integral?</h3>

A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.

with 0≤u≤1 and  0≤v≤1. Then the surface element ds  is equivalent to

ds=\||\:\left(s_u\times \:\:S_v\right)||dudv=12\left(1-v\right)dudv

The surface integral is then

\int \:\int \:_Sxzds=12\int _0^1\:\int _0^1\:\left(2\left(1-u\right)\left(1-v\right),2u\left(1-v\right),4v\right)dvdu=4

Therefore the value of the given surface integral is 4.

To learn more about the integral visit:

brainly.com/question/14295614

#SPJ2

6 0
2 years ago
The height of a soccer ball that is kicked from the ground can
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Answer:

87.5

Step-by-step explanation:

By completing the square,

y

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=-14(x-5/2)^2+175/2

the max. height=175/2

i.e. 87.5

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Answer:

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Step-by-step explanation:

Counterclockwise is going left, so if you start at the top, 270 degrees left of a clock will result in the same as 90 degrees clockwise.

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Step-by-step explanation:

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