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3 years ago

What is the scale factor of the dilation?

1 answer:

8 0

A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink

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Find the curl of ~V<br> ~V<br> = sin(x) cos(y) tan(z) i + x^2y^2z^2 j + x^4y^4z^4 k

ch4aika [34]

Given

$\vec v = f(x,y,z)\,\vec\imath+g(x,y,z)\,\vec\jmath+h(x,y,z)\,\vec k \\\\ \vec v = \sin(x)\cos(y)\tan(z)\,\vec\imath + x^2y^2z^2\,\vec\jmath+x^4y^4z^4\,\vec k$

the curl of $\vec v$ is

$\displaystyle \nabla\times\vec v = \left(\frac{\partial h}{\partial y}-\frac{\partial g}{\partial z}\right)\,\vec\imath - \left(\frac{\partial h}{\partial x}-\frac{\partial f}{\partial z}\right)\,\vec\jmath + \left(\frac{\partial g}{\partial x}-\frac{\partial f}{\partial y}\right)\,\vec k$

$\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ - \left(4x^3y^4z^4-\sin(x)\cos(y)\sec^2(z)\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k$

$\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ + \left(\sin(x)\cos(y)\sec^2(z)-4x^3y^4z^4\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k$

7 0

3 years ago

Expand & simplify <br> (2x+6)(x−9)

Alex777 [14]

Answer:

2x^2-12x-54

Step-by-step explanation:

First 2x times x along with 2x times -9

Second 6 times x along with 6 times -9

2x^2-18x+6x-54

=2x^2-12x-54

8 0

2 years ago

identify the type of proportion and solve the problem. rose bought 8 bags at 880. if rit buys 12 of such kind of bags, how much

salantis [7]

Answer:

1320

Step-by-step explanation:

880/8 = 110

12x110 = 1320

5 0

3 years ago

Read 2 more answers

Help help pleaseeee i dont understand what its asking thank you

AysviL [449]

Step-by-step explanation:

function is when the x- intercept does not repeat the answer is D because the numbers didn't repeat

7 0

3 years ago

On the same set of axes, use slope and y-intercept to graph each line in the system shown at right then find the points of inter

anygoal [31]

Answer:

Step-by-step explanation:

-x + 2 = 3x + 6

3x + 6 = -x + 2

4x + 6 = 2

4x = -4

x = -1

y = 1 + 2 = 3

(-1, 3)

6 0

3 years ago