2 years ago

HURRY PLEASE WILL GIVE BRAINLIEST

Mathematics

1 answer:

BigorU [14]2 years ago

7 0

Answer:

graph c

Step-by-step explanation:

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

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3 years ago

Can someone help please?

ratelena [41]

Answer: It is TRUE. A point in a linear equation can be the solution to said equation.

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2 years ago

Question is in the Picture. A B C D

oee [108]

B because 2 and 1/3 is 7/3 as an improper fraction times 4 is 28/3 and as a mixed number it is 9 and 1/3

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2 years ago

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Please answer ASAP. Suppose we write down the smallest (positive) 2-digit, 3-digit, and 4-digit multiples of 8.

GaryK [48]

Answer:

16, 104, 1000

Step-by-step explanation:

8*2

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1 year ago

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A rectangle is twice as long as it is wide. Its width is 5 1/2 cm. Find the perimeter of the rectangle.

kolezko [41]

5.5 × 2= 11

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The perimeter is 33 units.

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2 years ago