3 years ago

Show work please and correct

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

$- \frac{1}{2}$

its down 1 over 2 each time

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Georgia [21]

Rational, or integer. I am not sure sorry

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2 years ago

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Will mark brainist to the first person who comments!

Galina-37 [17]

Answer:

TRY B

Step-by-step explanation:

TRY B

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2 years ago

Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values

Vesnalui [34]

The Lagrangian is

$L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)$

with critical points where the partial derivatives vanish.

$L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}$

$L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda$

$L_\lambda=x^2+y^2-9=0$

Substitute $x,y$ into the last equation and solve for $\lambda$ :

$\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6$

Then we get two critical points,

$(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)$

We get an absolute maximum of $3\sqrt{17}\approx12.369$ at the second point, and an absolute minimum of $-3\sqrt{17}\approx-12.369$ at the first point.

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2 years ago

A town has a population of 32,000 in the year 2002; 35,200 in the year 2003; 38,720 in the year 2004; and 42,592 in the year 200

Romashka-Z-Leto [24]

The answer is 102,442

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3 years ago

A family paid $30600 as a down payment for a home. If this represents %17 of the price of the home, find the price of the hom

snow_lady [41]

Answer:

180000

Step-by-step explanation:

30600/17=1800

1800•100=180000

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3 years ago

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