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4 years ago

Help please ASAP!!!!!!!!!

Mathematics

1 answer:

Elden [556K]4 years ago

4 0

Answer:

b. -33

Step-by-step explanation:

The question is about finding the determinant of a 2×2 matrix

General formula; when given matrix A =[ b c ]

[ d e]

the determinant of A = (e×b)-(c×d)

Evaluate

(3 -3)

(-5 -6) = (-6×3) - ( -5×-3)

= (-18)- ( 15) = -33

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Shtirlitz [24]

Answer:

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B) Radius: 2.73 cm.

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Step-by-step explanation:

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The function we want to minimize is the surface, and it can be expressed as:

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To solve this, we can express h in function of r:

$V=\pi r^2h=256\\\\h=\frac{256}{\pi r^2}$

And replace it in the surface equation

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To optimize the function, we derive and equal to zero

$\frac{dS}{dr}=512*(-1)*r^{-2}+4\pi r=0\\\\\frac{-512}{r^2}+4\pi r=0\\\\r^3=\frac{512}{4\pi} \\\\r=\sqrt[3]{\frac{512}{4\pi} } =\sqrt[3]{40.74 }=3.44$