= 4. (a) Verify the divergence theorem in the plane for Fryi + (2x-y)) and C is the triangle with vertices at (0,0), (1,0) and (0, 1). (b) Find the circulation of ♬ around the curve C above. == (c) If (velocity), give physical interpretations of funds and § v. dŔ.

Determine the coefficients a, b, c and d so that the curve y = ax* + bx³ + cx² + dx + e will pass through the points (0, 3), (–2,7) and have an inflection point at (1,4) with horizontal tangent.

X (A) If g = tan and F = In 1 ( + + 1 ) ; + ( 1² + 2₁ ) ) + = = = = 2 ² , find the derivative +2 yz of g at point (1,2,-1) in the direction of the normal vector of the curve represented by 7 at 1-1.

find the frenet apparatus of curve 3u-u3  , 3u2 , 3u+u3 and  Find equations of tangent, normal and binormal lines of this curve at the point 1 .