Chapter 8 / applications Flashcards

1
Q

general Total Area

A

Sum of wi multiplied by Δh. Take the limit as the number of slices goes to infinity to get the integral.

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2
Q

how to find the area of a circle

A

take concentric stips (circumfrences), each one of them equal to 2 pi times the radius at that point.

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3
Q

When density varies throughout an object

A

(1) slice into parts with equal density, (2) approximate mass as a riemman sum of (density equation * area) (3) take a limit that turns into an integral

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4
Q

How do we get mass/population?

A

Density multiplied by area.

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5
Q

Mean value using pdf

A

mean value = ∫ (of whole thing) x*p(x) dx

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