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2 years ago

Describe the result of reflecting E first across line l and then across line m

Mathematics

1 answer:

Dmitrij [34]2 years ago

7 0

Picture please? It’d be a lot easier just to see what your working with

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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

2 years ago

If you could please help me that would be great.

Brut [27]

No.1
r=9

No.3
r=10.5ft

No.5
C=132m

No.7
C=25.12

No.9
44

No.11
264cm

No.13
97.34m

No.15
47.1

No.17
Am not sure

Hope this helps though

8 0

7 months ago

Help needed asap !!!!!!

Zinaida [17]

Answer:

b)0, yes

Step-by-step explanation:

Given:

Vectors (4,8) . (6,-3)

Finding inner product of vectors:

= 4x6 + 8x-3

=24-24

Now to check the angle between them using formula a.b=|a|.|b|cosθ

|a|= $\sqrt{4^{2} +8^{2} } \\\sqrt{16+64}$

=8.9

|b|= $\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}$

=6.7

Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,

0= 8.9(6.7)cosθ

cosθ =0

θ=90 degrees

Hence the two vectors are perpendicular !

7 0

2 years ago

Look at the system of equations below Sy= -2x +3 1 4x – 3y = 11

kompoz [17]

Answer:

(2,-1)

y= -1

x= 2

Step-by-step explanation:

y= -2x+3

4x-3y=11

substitute the value of y into an equation

4x-3(-2x+3)=11

distribute by multiplying numbers in parenthesis by -3

4x+6x-9=11

add 4x to 6x

10x-9=11

add 9 from both sides

10x=20

divide both sides by 10

x=2

substitute the value of x into an equation

y= -2•2+3

multiply -2 to 2

y= -4+3

add -4 to 3 but 4 is negative, so subtract

y= -1

-----------

(2,-1)

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3 0

2 years ago

Ms. Cohen is buying supplies for her kindergarten class room. she can spend at most $30. she wants to buy boxes of crayons that

ale4655 [162]

Answer:

Step-by-step explanation:

4 0

2 years ago

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