Value of divergence of function (x2y2)î - (z³y 4x) ĵ + 4y² xk at (1, 2, 1) is
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- Maximum divergence Within the cube {(x, y, z): | x | ≤ 1, | y | ≤ 1, | z | ≤ 1}, where does div F have the greatest magnitude when F = ⟨x2 - y2, xy2 z, 2xz⟩?Divergence theorem for F = 3 i + xy j + x k. Taken over a region bounded by z = 4 - y2, x = 0, x = 3, and the xy-plane.The linearization of ex at x = 0 Derive the linear approximation ex = 1 + x at x = 0.
- find ƒx , ƒy , and ƒz . ƒ(x, y, z) = sec-1 (x + yz)How do we find the linearization of g(x, y) = tan−1(xy2) at the point (1, 1). and use linearization to estimate g(1.08, 1.037). thank you.Determine if f (x, y) = ={(xsin3y)/(x2+y6), (x, y) ≠ (0, 0) ={1, (x, y) = (0, 0) is continuous at (0, 0)
- 7. Find the linear approximation of the function f (x, y) = у - 1 at (0,0)A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture. Turbulence makes it difficult to directly measure the thickness of the slick at the source where x=0, but for x >0, it is found that y=0.5(x^2 + 3x)/x^3 + x^2 + 4x. Assuming the oil slick is continuously distributed how thick would you expect it to be the source?f(x) = sin2(x) , g(x) = cos2(x) are curves. All closed areas between the lines x = 0 and x = π what is the total value?