Determine the continuity of the function f(x, y, z)= O continuous except at (0,5, 0) O continuous except at (0, 0, 1) continuous for x² + y² = 5 O continuous for x² + y² #5 O continuous except at (9, 0, 1) 9z x² + y²-5

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A: We know that the derivative of sinx is cosx  And cosx is -sinx

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Q: discuss the continuity of the function. a) f(x,y,z)=z/(x^2+y^2-4) b)f(x,y,z)=xy sin z

A: (a) consider the provided question,   fx,y,z=zx2+y2-4  The given function is continuous except at…

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A: To check the continuity of given function,

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Q: Let f(x, y) = and let g(x, y) O O rºy6 26+y6 O 0 0 6x³y³ 6x6 + 6y6 Which of the above functions are…

A: fx,y=x6y6x6+y6if x,y≠0,00if x,y=0,0 gx,y=6x3y36x6+6y6if x,y≠0,00if x,y=0,0

Q: 1. Find if the function is continuous in the given points A) f(x, y) = B) f(x, y) = xy √x² + y² 0…

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Q: Assume that f(x, y) is a function given by if (r, y) # (0,0), f(x, y) 0 if (r, y) = (0, 0). Page 1…

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Q: { 2xy? 9x2 + y4 (x, y) # (0,0) (x, y) = (0,0) f (x, y) ·

A: Topic = Limits and  Continuity

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Q: f" > 0 on (-∞, -1) U (-1,0).

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A: Given, f(x,y,z)=zxy+x

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A: What is Continuous Function: A function is referred to be continuous at a certain point in its…

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Q: 6) The marginal cost of producing z units of a product is modeled by 28 – 0.02x. dz It costs $40 to…

A: We use separable differential equation