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Monica [59]
3 years ago
5

What is the domain and range of the following:

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0
The domain and range is the foreman range 60
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The figure shows a carpeted room. How many square feet of the room are carpeted?
damaskus [11]

Answer:

The answer is B. 28.

Step-by-step explanation:

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zmey [24]
I’m gonna bet on D. Since I answered your question. Break my ankles✨
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At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
3x^2 + 6 - 2x + 5x - 4x^2 + 9
Over [174]
3x * 3x = 9x

9x + 6 - 2x + 5x - 4x^2 + 9

9x + 6 - 7x - 4x * 4x + 9

9x + 6 - 7x - 16x + 9

9x + -7x = 2x + 6 - 16x + 9

2x + 6 - 16x + 9

2x + (-3) - 16x

-14x + (-3) is the expression?
4 0
3 years ago
3x(5-2)=(3x5)-(3x2) explain how you could use the distributive property and mental math to find 5x198
Lynna [10]
The Distributive Property Is Used When You Multiply 3x To (5-2) Which Then Means
15x-6x= 15-6
9x=9
Divide Both Sides By 9
x=1
6 0
3 years ago
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