Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise. ∮ C y tan 2 x d x + tan x d y , where C is the circle x 2 + y + 1 2 = 1.
Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise. ∮ C y tan 2 x d x + tan x d y , where C is the circle x 2 + y + 1 2 = 1.
Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise.
∮
C
y
tan
2
x
d
x
+
tan
x
d
y
,
where C is the circle
x
2
+
y
+
1
2
=
1.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Evaluate ∫C (3y + exsinx) dx + (8x - ln(y3+2)) dy, where C is the circle x2 + y2 = 9 with positive direction using Green's Theorem.
Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with the plane x = 9 at the point
(9, 1,80).
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
equation:
Use this fact: The weight-density of water is 9800 newtons per cubic meter or 62.5 pounds per cubic foot.
Thomas' Calculus: Early Transcendentals (14th Edition)
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