Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise. ∮ C x 2 − y d x + x d y , where C is the circle x 2 + y 2 = 4.
Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise. ∮ C x 2 − y d x + x d y , where C is the circle x 2 + y 2 = 4.
Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise.
∮
C
x
2
−
y
d
x
+
x
d
y
,
where C is the circle
x
2
+
y
2
=
4.
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:
Sketch the surface x = 2y2 +3z2
Chapter 15 Solutions
Calculus Early Transcendentals, Binder Ready Version
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