Use the formula A = 1 2 ∮ C − y d x + x d y to find the area of the region swept out by the line from the origin to the ellipse x = a cos t , y = b sin t if t varies from t = 0 to t = t 0 0 ≤ t 0 ≤ 2 π .
Use the formula A = 1 2 ∮ C − y d x + x d y to find the area of the region swept out by the line from the origin to the ellipse x = a cos t , y = b sin t if t varies from t = 0 to t = t 0 0 ≤ t 0 ≤ 2 π .
Use the formula
A
=
1
2
∮
C
−
y
d
x
+
x
d
y
to find the area of the region swept out by the line from the origin to the ellipse
x
=
a
cos
t
,
y
=
b
sin
t
if
t
varies from
t
=
0
to
t
=
t
0
0
≤
t
0
≤
2
π
.
Use the formula
2
dy
(2)
A = 27
y 1/1 +
dx
dx
to determine the surface area of the parabolic reflector obtained by ro-
tating the curve y = Vx, 0 < x < 1, about the x-axis.
Chapter 15 Solutions
Calculus Early Transcendentals, Binder Ready Version
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY