2 years ago

1. What does the algebraic representation (x,y) → (x-1, y-2) represent?

Mathematics

1 answer:

Anna [14]2 years ago

7 0

Answer:

A) Each point will translate 1 unit left and 2 units down

Step-by-step explanation:

I got it right in my test Answer A

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Choose 1 answer:

AlladinOne [14]

Answer

Explain:I got it right definitely didn't search it up

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1 year ago

Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xyz , (3, 3, 9

Anna [14]

The derivative of $f(x,y,z)$ in the direction of a vector $\mathbf u$ is

$\nabla_{\mathbf u}f=\nabla f\cdot\dfrac{\mathbf u}{\|\mathbf u\|}$

With $f(x,y,z)=xyz$ , we get

$\nabla f=(yz,xz,xy)$

and $\mathbf u=(-1,-2,2)$ ,

$\|\mathbf u\|=\sqrt{(-1)^2+(-2)^2+2^2}=3$

Then

$\nabla_{(-1,-2,2)}f(3,3,9)=(27,27,9)\cdot\dfrac{(-1,-2,2)}3=-21$

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2 years ago

Solve the following system of equations <br> x^2+2y^2=59<br> 2x^2+y^2=43

aivan3 [116]

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for $3x^{2}+3y^{2} = 102$ . Now we can divide both sides by 3, getting $x^2+y^2=34$ . we subtract the first equation from our equation we just got, getting $y^2=25$ y= (5,-5). once we plug that in, we get $50+x^2 = 59$ , $x^2 = 9$ x = (-3,3)