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Ipatiy [6.2K]
2 years ago
14

1. Write an algebraic description for

Mathematics
1 answer:
ryzh [129]2 years ago
5 0

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Let F (x; y) = xy2i + x2y j. Evaluate ∫F.ds (from c to [infinity]) where C is the upper half of the circle of radius 1 centered
77julia77 [94]

Answer:

The integral \int F \bullets ds is 0.

Step-by-step explanation:

A parameterization of curve C can be:

X (t) = cost 0 <= t <= pi

Y (t) = sint 0 <= t <= pi

r (t) = costi + sintj

r '(t) = -sinti + costj

Fds = [-costsin^3t + sintcos^3t] dt

The integral \int F \bullets ds is given by:

\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt

= \int _0^{\pi }-sin ^3tcostdt + \int _0^{\pi }sintcos^3tdt = 0

4 0
3 years ago
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