Evaluate where S is the cylinder x2 + y2 = 1 bounded by the planes z = 0 and z = 1 and r is the distance between a point on the surface and the origin.
Evaluate the line integral where and C is the curve in xy–plane consisting curve C1: straight lines from (0, 0) to (1, 0) and curve C2: straight line from (1, 0) to (3, 4)
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Evaluate where where C is the boundary of the triangle with vertices at (0, 0, 0), (1, 0, 0), (1, 1, 0) oriented counter clockwise.
If C is a smooth curve in R3 from path joining (–1, 0, 1) to (1, 1, –1), then the value of (3x2y + z)dx + (x3 + 4y3z)dy + (x + y4)dz is :
What is the divergence of the vector fieldat the point (1, 2, 3).
Which of the following statement(s) is(are) true about function
Evaluate over the entire surface of the region above xy–plane bounded by the cone z2 = x2 + y2 and the plane z = 4 if