Let C be a smooth curve in R³, let S be a smooth surface in R³. Assume that f(x, y, z) is a scalar- valued function with continuous first partial derivatives and F(x, y, z) is a vector-valued function with continuous first partial derivatives for each component. Identify the following integrals. Vf. dr is a [Select] [Select] . . JS S div F dS is a

Q: B. Find the gradient of the function at the given point. S(x, y, z) = (x² + y² + z?)i+ In (x y z)

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Q: fx,y) xyy2 x3+y3 (x,y) + (0,0) 0 (x,y) = (0,0)

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Q: Let z=x²y, where x(s,t) and y(s,t) are differentiable functions with values Әx Əs x(2,0) = 4, y(2,0)…

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Q: Find the derivative of f(x, y, z)=x²-xy² -z at the point p (1,1,0) in the direction of V=i-j+2k (it…

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