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Sladkaya [172]
3 years ago
15

Can you help me out on this one

Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

I think the answer is C if I'm wrong sorry its been two years since i last learnt this

Step-by-step explanation:

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The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i
madam [21]

You're looking for the extreme values of T(x,y,z)=3x+6y-6z+1 subject to x^2+y^2+z^2=9. The Lagrangian is

L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)

with critical wherever the partial derivatives vanish:

L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}

L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda

L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda

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

Substituting the first three solutions into the last equation gives

\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9

\implies\lambda=\pm\dfrac32

\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2

At these points, we have

T(1,2,-2)=28

T(-1,-2,2)=-26

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

6 0
3 years ago
Find the inverse of the equation y=2/3x-6
nlexa [21]

Answer:

<h2>y = 3x+6/2</h2>

Step-by-step explanation:

<h3> your answer is y = 3x+6/2</h3>

<h3> <em>Hope </em><em>it </em><em>helps.</em><em>.</em><em>.</em></h3>
5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
padilas [110]
Okay so first do 2x3 which equals 6. then add 6 to 1 and you would get 7. so 7/2 is your answer!!

denominator- bottom half of a fraction ex. in the fraction 5/7 the bottom number (7) is the denominator

numerator- top half of a fraction ex. in 5/7 the top (5) is the numerator

whole number-a number without fractions ex. 7, 29, 18
8 0
3 years ago
Read 2 more answers
Write the rule for the pattern 100,81,64,49,36
sergiy2304 [10]
I’m not sure what the rule would be in this context, but those are just the squares of decreasing numbers starting at 10. It’s 10^2, then 9^2, then 8^2, and so on.
4 0
3 years ago
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A bicycle is traveling at 22 miles per hour. How many feet will it cover in 45 seconds? Round your answer to the nearest tenth o
puteri [66]
  • Answer:

<em>1452 feet</em>

  • Step-by-step explanation:

<em>1 hour = 60min×60sec = 3600 sec</em>

<em>1 miles = 5280 feet</em>

<em>22 miles = 22×5280ft = 116160 ft</em>

<em />

<em>3600sec ................. 116160 ft</em>

<em>45sec ................................ x ft</em>

<em>x = 45×116160/3600</em>

<em>= 5227200/3600</em>

<em>= 1452 feet</em>

7 0
3 years ago
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