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3 years ago

If y is 12 when x is 5, find x when y is 30

1 answer:

3 0

We have no idea how 'x' responds to changes in 'y'.
We don't even know their units, to make a guess with.

-- If 'x' and 'y' are the ages of two people, then when y = 30, 'x' will be 23.

-- If they are the frequency and wavelength of a wave on the lake,
then when y = 30, 'x' will be 2 .

-- If 'x' is the weight of a rock in your front yard and 'y' is the number of pages
in today's newspaper, then 'y' has no effect on 'x'. No matter what happens
to 'y' . . . 'x' will always be 5 .

With the information given in the question, we just don't know.

We need either an equation, or else one more example.

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Answer:

Step-by-step explanation:

-4|2-3|+2|-3+1|

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4 years ago

Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your

BaLLatris [955]

$f(x,y)=\dfrac{y^3}x$

a. The gradient is

$\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath$

$\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}$

b. The gradient at point P(1, 2) is

$\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}$

c. The derivative of $f$ at P in the direction of $\vec u$ is

$D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}$

It looks like

$\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath$

so that

$\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2$

Then

$D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}$

$\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}$

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

An equilateral triangle has one length of 3 meters. What are the lengths of the other two sides?

topjm [15]

Answer:

the other sides are 3 meters as well

Step-by-step explanation: Since it is an equilateral triangle, all the sides will be the same. An Isosceles triangle has two of the sides the same and one different. A scalene triangle has all of the sides different. So, the rest of the sides are 3 meters.

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