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

1 answer:

4 0

One function you would be trying to minimize is
f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² 

Your values for x, y, z, and λ would be correct, but 
d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² 
d² = (8/3)² + (8/3)² + (8/3)² 
d² = 64/3 
d = 8/sqrt(3) = 8sqrt(3)/3

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laiz [17]

Answer:

x=15

Step-by-step explanation:

so we are given one angle 90, although x is used in both so you can add them. We know that the sum of angle measures in a triangle is 180 so the equation is: 90+6x=180

subtract 90 from both sides: 6x=90

divide by 6: x=90/6

simplify: x=15

6 0

3 years ago

A snail is moving along a path that is 4 meters long. The snail moves at an average rate of 3 3/10 inches per minute. Question 1

Troyanec [42]

Answer: The length of the path = 157 inches { approx}

Step-by-step explanation:

Given: The length of the path = 4 meters

1 meter = 100 centimeters

So 4 meters = 400 centimeters