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2 years ago

What are the following values from least to greatest 0 6 1/2 -1 9 can you help me pleaseeee

Mathematics

1 answer:

alisha [4.7K]2 years ago

7 0

-1, 0, 1/2, 6, 9 hope that helps

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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 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 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:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

4 0

3 years ago

Determine the given point is a solution to the equation. Show all work. 1) 3x-7y=4; (1,-1)

marusya05 [52]

Answer:

NOT a solution

Step-by-step explanation:

Substitute the values of x and y and see if the equation is satisfied:

3(1) -7(-1) = 3 +7 = 10 ≠ 4 . . . . . . the given point is not on the line

(1, -1) is not a solution to the equation.

_____

(-1, 1) is a solution

6 0

3 years ago

What is the distance between the points (−5, −9)(−5, −9) and (−5, 13)(−5, 13) ?

krok68 [10]

Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,-9)...x1 = -5, and y1 = -9
(-5,13)...x2 = -5 and y2 = 13
now we sub and solve
d = sqrt (-5 - (-5)^2 + (13 - (-9)^2
d = sqrt (-5 + 5)^2 + (13 + 9)^2
d = sqrt (0^2 + 22^2)
d = sqrt (484)
d = 22 <==

6 0

3 years ago

Describe and correct the error in

spayn [35]

make the y int -4 because it passes through (0,-4). to make perpendicular, apply same slope to new equation but change sign

4 0

2 years ago

Katana has a shelf that is 5 feet long.She wants to paint a design along 7/10 of the shelf. How many feet of the shelf will kata

Brums [2.3K]

Answer:

3.5 or 3 1/2 feet of the shelf

Step-by-step explanation:

8 0

2 years ago

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What are the following values from least to greatest 0 6 1/2 -1 9 can you help me pleaseeee​

What are the following values from least to greatest 0 6 1/2 -1 9 can you help me pleaseeee