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Bas_tet [7]
3 years ago
12

Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.

Mathematics
2 answers:
Leokris [45]3 years ago
5 0

Answer:

Sam buys milk at a lower rate for the price of 3.4 per gallon.

Step-by-step explanation:

Vlada [557]3 years ago
3 0
Edwin's graph
y = 7 when x = 2.

Sam's equation
P = 3.4g

Edwin:
y = kx
k = y/x = 7/2 = 3.5 cost per gallon
y = 3.5x

Sam's equation:
P = 3.4g
y = 3.4x

Sam buys milk at a lower rate for the price of 3.4 per gallon.

Edwin buys milk at 3.5 per gallon
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The cost of fuel was £971.09
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3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
nataly862011 [7]

Let (<em>x</em>, <em>y</em>, <em>z</em>) be a point on the plane in the first octant. The box formed by this point has volume <em>xyz</em>, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

<em>L</em>(<em>x</em>, <em>y</em>, <em>z</em>) = <em>xyz</em> - <em>λ</em> (<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6)

Find its critical points:

∂<em>L</em>/∂<em>x</em> = <em>yz</em> - <em>λ</em> = 0

∂<em>L</em>/∂<em>y</em> = <em>xz</em> - 2<em>λ</em> = 0

∂<em>L</em>/∂<em>z</em> = <em>xy</em> - 3<em>λ</em> = 0

∂<em>L</em>/∂<em>λ</em> = -(<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6) = 0

Solving the first three equations for <em>λ</em> gives

<em>λ</em> = <em>yz</em> = <em>xz</em>/2 = <em>xy</em>/3

Solve these equations for <em>y</em> and <em>z</em> :

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Substitute these solutions into the last equation and solve for <em>x</em>, then again for <em>y</em> and <em>z</em> :

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At this critical point, the maximum volume is

<em>xyz</em> = 2*1*2/3 = 4/3

4 0
3 years ago
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SSSSS [86.1K]
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3 years ago
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artcher [175]

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Good luck

ANSWERED:\\GraceRosalia

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Answer:

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Step-by-step explanation:

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7 0
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