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3 years ago

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Which is bigger 4 or

alt=" \frac{12}{7} " align="absmiddle" class="latex-formula">

1 answer:

irga5000 [103]3 years ago

6 0

obviously 4 is bigger coz 12/7 will yeild you 1.71

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You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interference, you want to place it whe

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Step-by-step explanation:

$\text{The equation of the surface of the sphere whose radius is 6 can be represented as:}$

$x^2+y^2+z^2 = 36}$

$So , g(x,y,z) = x^2 + y^2 + z^2 - 36$

$\text{To minimize the function :} \\ \\ M(x,y,z0 = 6x - y^2 +xz + 60$

$\text{by applying lagrange multipliers }$

$\bigtriangledown M (x,y,z) = \lambda \bigtriangledown g(x,y,z)$

$\langle 6+zz,-2y,x \rangle = \lambda \langle 2x,2y,2z \rangle$

$6+z = 2\lambda x$

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$\text{from the second equation ;} (\lambda +1)y = 0, \text{so , it is either y =0 or }\lambda = -1$

$Suppose \ \lambda = -1 ; \text{other equation becomes x = -2z and 6+z = -2x}$

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$\text{it implies that: x= -4 and }y = \pm \sqrt{36 - 4-16} = \pm 4$

$\text{Here; there exist two possible points}$

$\text{(-4,-4,2) and (-4,4,2)}$

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$z = \dfrac{6}{4 \lambda ^2 -1}$

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3 years ago

Find the equation for the circle with center (4,-5) and passing through (5,-4)

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Answer:

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Step-by-step explanation:

The equation of a circle centered at (h, k) through point (p, q) is ...

(x -h)^2 +(y -k)^2 = (p -h)^2 +(q -k)^2

Filling in your given numbers gives ...

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