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Mathematics

1 answer:

Lostsunrise [7]1 year ago

3 0

<h2>Quadrilateral</h2>

<h3>Classify the quadrilateral in as many ways as possible.</h3>

Shown in the figure, all the measurements of each sides is different, so it is only a quadrilateral. Square has four equal sides and angles, rhombus has only four equal sides, and a parallelogram whose opposite sides are parallel.

Answer:

C. Quadrilateral

Picture 1 (Rhombus)

Picture 2 (Square)

Picture 3 (Parallelogram)

Picture 4 (Quadrilateral)

Wxndy~~

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Please help me with this asap

Mice21 [21]

Answer:

I think the answer is A

hope this helps :3

sorry if im wrong

5 0

2 years ago

What is partial derivative of z=(2x+3y)^10 with respect to x,y?

maw [93]

Not sure if you mean to ask for the first order partial derivatives, one wrt x and the other wrt y, or the second order partial derivative, first wrt x then wrt y. I'll assume the former.

$\dfrac\partial{\partial x}(2x+3y)^{10}=10(2x+3y)^9\times2=20(2x+3y)^9$

$\dfrac\partial{\partial y}(2x+3y)^{10}=10(2x+3y)^9\times3=30(2x+3y)^9$

Or, if you actually did want the second order derivative,

$\dfrac{\partial^2}{\partial y\partial x}(2x+3y)^{10}=\dfrac\partial{\partial y}\left[20(2x+3y)^9\right]=180(2x+3y)^8\times3=540(2x+3y)^8$

and in case you meant the other way around, no need to compute that, as $z_{xy}=z_{yx}$ by Schwarz' theorem (the partial derivatives are guaranteed to be continuous because $z$ is a polynomial).