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2 years ago

(06.04)

Mathematics

2 answers:

otez555 [7]2 years ago

8 0

Answer:

5x/3y2

Step-by-step explanation:

kifflom [539]2 years ago

3 0

Answer:

1/3

Step-by-step explanation:

(4x+1)/(3y^2)

(4*2+1)/(3*3^2)

(9)/(3*9)

(9)/(27)

(1)/(3)

Hope that this helps! Have a good day and good luck!

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4. Compare the function f(x) = –x^2 – 4x + 3 with the function g(x), graphed here. Which function has a greater absolute maximum

inessss [21]

Answer:

f(x) has the greater absolute maximum

Step-by-step explanation:

$f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)$

so f'(x)=0 for x = -2 and f(-2)=-4+8+3=11-4=7

so f(x) has the greater absolute maximum

hope this helps

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3 years ago

Marco is making mosaic garden stones using red, yellow,and blue tiles he has 45 red tiles 90 blue tiles and 75 yellow tiles. Eac

LiRa [457]

I believe it is 135 stones

45 is lowest multiplied by 3 is 135 providing equal number

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2 years ago

Find thd <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D" id="TexFormula1" title="\frac{dy}{dx}" alt="\frac{dy}{dx}" a

NARA [144]

$x^3y^2+\sin(x\ln y)+e^{xy}=0$

Differentiate both sides, treating $y$ as a function of $x$ . Let's take it one term at a time.

Power, product and chain rules:

$\dfrac{\mathrm d(x^3y^2)}{\mathrm dx}=\dfrac{\mathrm d(x^3)}{\mathrm dx}y^2+x^3\dfrac{\mathrm d(y^2)}{\mathrm dx}$

$=3x^2y^2+x^3(2y)\dfrac{\mathrm dy}{\mathrm dx}$

$=3x^2y^2+6x^3y\dfrac{\mathrm dy}{\mathrm dx}$

Product and chain rules:

$\dfrac{\mathrm d(\sin(x\ln y)}{\mathrm dx}=\cos(x\ln y)\dfrac{\mathrm d(x\ln y)}{\mathrm dx}$

$=\cos(x\ln y)\left(\dfrac{\mathrm d(x)}{\mathrm dx}\ln y+x\dfrac{\mathrm d(\ln y)}{\mathrm dx}\right)$

$=\cos(x\ln y)\left(\ln y+\dfrac1y\dfrac{\mathrm dy}{\mathrm dx}\right)$

$=\cos(x\ln y)\ln y+\dfrac{\cos(x\ln y)}y\dfrac{\mathrm dy}{\mathrm dx}$

Product and chain rules:

$\dfrac{\mathrm d(e^{xy})}{\mathrm dx}=e^{xy}\dfrac{\mathrm d(xy)}{\mathrm dx}$

$=e^{xy}\left(\dfrac{\mathrm d(x)}{\mathrm dx}y+x\dfrac{\mathrm d(y)}{\mathrm dx}\right)$

$=e^{xy}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)$

$=ye^{xy}+xe^{xy}\dfrac{\mathrm dy}{\mathrm dx}$

The derivative of 0 is, of course, 0. So we have, upon differentiating everything,

$3x^2y^2+6x^3y\dfrac{\mathrm dy}{\mathrm dx}+\cos(x\ln y)\ln y+\dfrac{\cos(x\ln y)}y\dfrac{\mathrm dy}{\mathrm dx}+ye^{xy}+xe^{xy}\dfrac{\mathrm dy}{\mathrm dx}=0$

Isolate the derivative, and solve for it:

$\left(6x^3y+\dfrac{\cos(x\ln y)}y+xe^{xy}\right)\dfrac{\mathrm dy}{\mathrm dx}=-\left(3x^2y^2+\cos(x\ln y)\ln y-ye^{xy}\right)$

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x^2y^2+\cos(x\ln y)\ln y-ye^{xy}}{6x^3y+\frac{\cos(x\ln y)}y+xe^{xy}}$

(See comment below; all the 6s should be 2s)

We can simplify this a bit by multiplying the numerator and denominator by $y$ to get rid of that fraction in the denominator.

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x^2y^3+y\cos(x\ln y)\ln y-y^2e^{xy}}{6x^3y^2+\cos(x\ln y)+xye^{xy}}$

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2 years ago

Find the missing measure in the triangle below.

denis23 [38]

Answer:

Step-by-step explanation:

To find x take 180 and subtract 63 and 77

7 0

3 years ago

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The length of a rectangle is 4times the width. The perimeter is 90cm. Find the length and width

noname [10]

Length is 36 width is 9

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2 years ago