Verify Formula (1) in the Divergence Theorem by evaluating the surface integral and the triple integral. F x , y , z = 5j + 7 k ; σ is the sphere x 2 + y 2 + z 2 = 1.
Verify Formula (1) in the Divergence Theorem by evaluating the surface integral and the triple integral. F x , y , z = 5j + 7 k ; σ is the sphere x 2 + y 2 + z 2 = 1.
Verify Formula (1) in the Divergence Theorem by evaluating the surface integral and the triple integral.
F
x
,
y
,
z
=
5j
+
7
k
;
σ
is the sphere
x
2
+
y
2
+
z
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.
Find the area of the surface, which is part of the surface z = 1 + 3x + 2y2 that lies above the triangle with vertices (0, 0), (0, 1) and (2, 1).
Let P be the tangent plane to the surface z=2x2+y2 at the point Q=(1,1,3). Which of the following points also lies in P?
Оа. (1,-2,1)
Ob.(1,-2,-1)
O. (1,-2,3)
O d. (1,-2,-3)
The vector v = <a, 1, -1>, is tangent to the surface x2 + 2y3 - 3z2 = 3 at the point (2, 1, 1).
Find a.
Chapter 15 Solutions
Calculus Early Transcendentals, Binder Ready Version
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