What should you check before applying Theorem 10.13 to find the area of the region bounded by
Question:
What should you check before applying Theorem 10.13 to find the area of the region bounded by the graph of r = f (θ)?
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THEOREM 10.13 Area in Polar Coordinates
If f is continuous and nonnegative on the interval [a, b], 0 <ß - α ≤ 2π,
then the area of the region bounded by the graph of r = f(0) between the
radial lines = a and 0 = ß is
A
=
- Strop de
==
=
r² de.
0
THEOREM 10.13 Area in Polar Coordinates
If f is continuous and nonnegative on the interval [a, b], 0 <ß - α ≤ 2π,
then the area of the region bounded by the graph of r = f(0) between the
radial lines = a and 0 = ß is
A
=
- Strop de
==
=
r² de.
0
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Theorem 1013 states that the area enclosed by the polar cur...View the full answer
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Related Book For
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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