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Zolol [24]
3 years ago
13

Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5) to the plane x y z = 9.

Mathematics
1 answer:
zlopas [31]3 years ago
4 0
One function you would be trying to minimize is 
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>

<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
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In a data ,range is 17 and coefficient of range is 0.2 find the smallest term of the data.
anygoal [31]

Answer:

Step-by-step explanation:

Let largest value of data be L

and smallest value of data be S.

We are given that the range and coefficient of range of the data are 17 and 0.2 respectively.

Range formula is given by = Largest value - Smallest value

                   17  =   L - S

                  L = 17 + S ---------- [Equation 1]

Coefficient of range formula = (Largest - Smallest) ÷ (Largest + Smallest)

                                       0.2   =    l-s/l+s

                                      0.2 = 17/l+s

                 L + S = 17/0.2 = 85

So,    L + S = 85

       17 + S + S = 85   {using equation 1}

           2*S = 80

             S = 80/2 = 40

Putting value of S in equation 1, we get L = 20 + 40 = 60

Therefore,  Largest value, L = 60

               smallest value, S = 40

                         

5 0
2 years ago
What is the value of x in the solution of the system of equations below?<br>8x-y=20<br>Y=3x​
tatyana61 [14]

Answer:

x=4

where y =3x

8x-3x=20

5x=20

5x/5=20/5

x=4

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The estimation for m would be 120. Happy thanksgiving

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The answer is nonproportional.

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