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Iteru [2.4K]
3 years ago
9

Use the method of Lagrange Multipliers to find any maximum or minimum values of the function f(x,y)=x2+y2 subject to the constra

int xy=1.

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

possible maximum and minimum values : f (1,1),  f (-1,-1)

Step-by-step explanation:

Given function :

f(x,y) = x^2 + y^2

constraint = xy = 1

attached below is the detailed solution of the method of using Lagrange method of Multipliers  to find the maximum and minimum values of the function

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A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bea
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a) 4/65 b) 13/65 c) 12/65 d) 19/65

Step-by-step explanation:

Probability is the likelihood or chance that an event might occur.

Probability = expected outcome of event/Total outcome of event

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a) The amount of one digit number we have are 4 i.e {6,7,8,9}. This will be our expected outcome in this case.

The probability that the number drawn bears a one digit number will be 4/65

b) For numbers divisible by 5, the numbers that are divisible by 5 from the number drawn are {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70}

The total expected outcome in this case = 13

The probability that the number drawn is divisible by 5 = 13/65

c) For odd numbers less than 30, they are {7,9,11,13,15,17,19,21,23,25,27,29}

The total expected outcome in this case = 12

The probability that the number drawn are odd numbers less than 30 = 12/65

d) For composite number between 50 and 70, this are numbers that are within this range and they includes {51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69}

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It is a 125% increase from 20 to 45
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Read 2 more answers
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