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2 years ago

2 mi. =_____ yd help?

Mathematics

1 answer:

Mkey [24]2 years ago

6 0

Answer: 3520

Step-by-step explanation:

1 mile=1760 yards

1760 x 2 = 3520

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The equations that must be solved for maximum or minimum values of a differentiable function w=f(x,y,z) subject to two constrai

sammy [17]

The Lagrangian is

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

with partial derivatives (set equal to 0)

$L_x=2x+8\lambda x+2\mu=0\implies x(1+4\lambda)+\mu=0$

$L_y=2y+8\lambda y=0\implies y(1+4\lambda)=0$

$L_z=2z-2\lambda z+4\mu=0\implies z(1-\lambda)+2\mu=0$

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

$L_\mu=2x+4z-2=0\implies x+2z=1$

Case 1: If $y=0$ , then

$4x^2-z^2=0\implies4x^2=z^2\implies2|x|=|z|$

Then

$x+2z=1\implies x=1-2z\implies2|1-2z|=|z|\implies z=\dfrac25\text{ or }z=\dfrac23$

$\implies x=\dfrac15\text{ or }x=-\dfrac13$

So we have two critical points, $\left(\dfrac15,0,\dfrac25\right)$ and $\left(-\dfrac13,0,\dfrac23\right)$

Case 2: If $\lambda=-\dfrac14$ , then in the first equation we get

$x(1+4\lambda)+\mu=\mu=0$

and from the third equation,

$z(1-\lambda)+2\mu=\dfrac54z=0\implies z=0$

Then

$x+2z=1\implies x=1$

$4x^2+4y^2-z^2=0\implies1+y^2=0$

but there are no real solutions for $y$ , so this case yields no additional critical points.

So at the two critical points we've found, we get extreme values of

$f\left(\dfrac15,0,\dfrac25\right)=\dfrac15$ (min)

and

$f\left(-\dfrac13,0,\dfrac23\right)=\dfrac59$ (max)

5 0

2 years ago

Diego has two guinea pigs pic and zia pia weighs 1 3/4 pounds zia weighs 32 ounces who weighs more?

loris [4]

Answer:

zia

Step-by-step explanation:

1 3/4 pounds are 28 ounces

32>28

3 0

2 years ago

Simone saved $15.45 from allowance, had $7.37 in her piggy bank, and had $22.55 left from her birthday. How much money does Simo

zmey [24]

Simon has $45.37

Simone savings from allowance= $15.45

Amount Simone had in piggy bank = $7.37

Left over from birthday = $22.55

Total amount of money that Simone now has = $15.45 + $7.37 + $22.55

Total amount of money that Simone now has = $45.37

Simon has $45.37

Learn more here: brainly.com/question/20521181

6 0

1 year ago

8.-10 + 0.22 can someone help me again

grigory [225]

Answer:

8.10+0.22

Is 8.33

Step-by-step explanation:

6 0

2 years ago

(x-4)2 + 3x at the value x = 7

Volgvan

Answer:

Step-by-step explanation:

x = 7

( x - 4 )^2 + 3x

= ( 7 - 4 )^2 + 3 ( 7 )

= 3^2 + 21

= 9 + 21

= 30

6 0

2 years ago

Read 2 more answers

2 mi. =_____ yd help?​

2 mi. =_____ yd help?