now that the differential form in the integral is exact. Then evaluate the integral. (2,0,3) (1,0,0) sin y cos x dx + cos y sin x dy + 8 dz ...
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- Find a potential function f for the field F = ey * 42 (3 i + 3x j+ 12x k). A potential function is f(x,y,z) =|Let be a potential for the vector field F = (−24 x³ z + 6 xyz², 3 x² z² + 15 y¹, −6 x¹ + 6 x²yz – 10 %). Then the value of sin((-1.63, 2.06, 0.57) - (0,0, 0)) isFind the potential function f for the field F = 6xi+ 6yj + 4zk. %3D
- Find a potential function f for the field F = eY (2 i+ 6x j + 10x k). +5z A general expression for the infinitely many potential functions is f(x,y,z) =Find the gradient field of the function g(x,y,z) = 8xy + 6yz + 8xz. Vg= (Type your answer in terms of i, j, and k.) Please solveChoose a correct potential function for the conservative vector fieldF = (3x-y+1, –x-4y-2).