14. 15. Given f(x, y, z) = x²y³z − 3xy²z³ + 5x²z - y³z, find fxyz z = x² + x − 3xy + y³ − 5, find all points (x, y) wherein z¸and z, = 0.

Q: (x, y) = (b) 1 1 (d) 1/2 Does not exist. (x, y) = Ty³ x² + y6 = Find limf(x,y) along the path x =…

A: We will find the required.

Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If f(x, y) = %3D

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Q: B)Is w = Ze² analytical function or not?

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Q: Let f(x,y) = x² - 3xy-y². Compute f(4,0) and f(4, − 3). - f(4,0) = (Simplify your answer.)

A: If you have any help please let me know in comment box and then I will help you.

Q: -2+z) ds over t e point (0, 0, 0)

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Q: 2. If F(x, y, z) = 2z3 – 3(x² + y²)z, then verify that Frx + Fyy + F2 = 0. %3D

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Q: The equations ry? + 5xzcos(u) + ye" = 10 and x³yz + xe" – 10u2v² = 30 are solved for u and v as…

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Q: Q1/ If z = f(x, y) and z* - y? = 6x²y°z7 Find: and dz

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Q: 16. Find the values of r so that the function y= e™ satisfies the equation y" – 4y' – 21y = 0. A)…

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Q: of of and ду Find f(x,y) = Vx + 3y?

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Q: 3. If z = f(x, y) with the relation xy²z³ + x³y?z +1 = x + y+ z. Find dz at (1, 1, 1).

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Q: +3. . Find the linearization of _9). Can you tell anything about the error? at (3,2). Evaluate at…

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Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

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Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

A: Given that, fx,y=-3x2y3+x3y Then we get,…

Q: Given, F = x²yî – 2xzj + 2yzk. Find V × (V × F)

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Q: Suppose ƒ(x, y, z) = ln(5x² + 6y + 5z²). Find an equation for the level surface of f that passes…

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Q: Q2- If Z = f(x, y) = sin(x³y5) Find fyy and fyx

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Q: Suppose that f(x, y) = -2z4+3 zy2 + 3y2, z=rcos (t) and y=rsin (t). Find af af and (write your…

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Q: Find whether the function F= 5yz? i+(3x– 2)}+(x² – xyJk is solenoidal.

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Q: Compute F. dr where F (x,y) (6x + y) i+ (4y + x)j and C is a piecewise curve from the point (1,1) to…

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