3 years ago

The slope of 4 and line passes through the point (-3, 1)

1 answer:

6 0

Go up on the graph (y axis) and you need to go down 3 on the y axis and go to the right one and repeat. let me know if you want me to draw it out!

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11x+16y=13 solve for y

suter [353]

11x+16y = 13

16y = -11x+13

y = -11/16x+13/16

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3 years ago

Find the extreme values of f(x y)=xy subject to the constraint x^2 + y^2 -4 = 0

KATRIN_1 [288]

Via Lagrange multipliers:

$L(x,y,\lambda)=xy+\lambda(x^2+y^2-4)$

$L_x=y+2\lambda x=0$
$L_y=x+2\lambda y=0$
$L_\lambda=x^2+y^2-4=0$

$yL_x=y^2+2\lambda xy=0$
$xL_y=x^2+2\lambda xy=0$
$\implies yL_x-xL_y=y^2-x^2=0\implies y^2=x^2$
$\implies x^2+y^2=4=2x^2\implies x^2=2\implies x=\pm\sqrt2\implies y=\pm\sqrt2$

So we have four critical points to consider, $(\sqrt2,\sqrt2),(-\sqrt2,\sqrt2),(\sqrt2,-\sqrt2),(-\sqrt2,-\sqrt2)$ . If both coordinates are positive or both are negative, we get a maximum value of $(\pm\sqrt2)^2=2$ ; otherwise, we get a minimum of $(-\sqrt2)(\sqrt2)=-2$ .

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3 years ago

Guys this is do TONIGHT so any help would be greatly appreciated! But this is the problem: Which of these numbers has the GREATE

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Step-by-step explanation:

whether it's a negative or positive, absolute numbers are always positive!!

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Order the number from greatest to least <br>3 1/3,3.34,300%

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Which of the following is an example of a proper fraction?

nirvana33 [79]

The numbers should be less than the denominator, therefore i think it's 5/9 , because the rest have a numerator greater than the denominator, even the 3 . it's written as 3/1 and 3 >1.

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3 years ago

The slope of 4 and line passes through the point (-3, 1)​

The slope of 4 and line passes through the point (-3, 1)