Evaluate the line integral of f(x,y) along the curve C. f(x,y)=x +y, C. y= - 2x + 4, 0

Q: 1.1 Let u(x, y) = 4(x² – y?) – 5y. If f(x, y) = u(x, y) + iv(x, y) is an entire function, then v(x,…

A: The solution is given as

Q: Evaluate each integral. dx а) 5x – 4 b) [(2-VF)dx

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Q: Find order and degree of y'+(y")? =(x+y")² а. 1,2 O b. 2,1 О с. 1,1 O d. 2,2

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Q: el For the function z = f(x,y) = - 4x³ -6y² - 7xy, find t V ne ON dz dx dz 3x forr || f(-5,4)=…

A: The given function is: z=fx,y=-4x3-6y2-7xy   As we know that; The Power Law: ddxxn=nxn-1

Q: (a) Suppose that k is an odd integer and w is a k-form. Show that w^w = 0. (b) Note: This question…

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Q: /y=f₂₂//y=f(x) 31 y=f 10 +1 F LFL LI Fr L T+411 L T +41- = 70 77 +1-1-T +4-1-T הוזחוזח חוזה LLJ I I…

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Q: Determine the linear approximation of f(x) = x' at x = 1. а. у3 9х +8 O b. Not in the list О с. у--…

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Q: 1.1 Let u(x, y) = 4(x² – y²) – 5y. If f(x, y) = u(x, y) + iv(x, y) is an entire function, then v(x,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dw at (u,v) = (5,2) for the function w(x.y) = xy² - In x; x= e u+v Evaluate ', y = uv. dv O A. 200e'…

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Q: Find the indefinite integral (-12z³ – 4z + 5)dz.

A: The given integral is ∫-12z3-4z+5dz

Q: Let f(x, y) = cos(xev*) + cos(x + ey²) , find дхду* O a. -2ye" (sin(xe") – x cos(xev*) + cos(x +…

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Q: Prove tht the fallowing ralt U(1-k)-2U(t) + U(t + k) U" (t) =- with an enor of ortler k?, which is…

A: The objective is to prove the central difference approximation to the second derivative of Ut…

Q: Find the critical points for f(x,y) = x² + xy + y? - 3x + 2. O A. (-2,- 1) О В. (-2,1) О С. (2,1) O…

A: We have to find the critical point of given function.

Q: Find the domain of the function f(x, y) : Vx2 + 8y2 – 5.

A: follow next step

Q: The tangent of the curve x^2+y^2--7 * 2xy3DO at the point (1,1), is a. y-2-х. О b. y=x-2. O С.…

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Q: A cylindrical vessel without lid is 4 cm in radius and 10 cm in height. If the vessel is to be…

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Q: . Find, from first principles, f(2, -1) for f(x, y) = 2a?y³ + e2y. ,2,,3

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Q: af of H.W: Find and for the functions: b əx ду 1. f(x, y) = (xy-1)² 3. f(x, y) = (x²-1)(y + 2)…

A: Given functions are 1. f(x, y)=(xy-1)2 3. f(x, y)=(x2-1)(y+2) 4. f(x, y)=x(x2+y2)   To Find: ∂f∂x…

Q: Vr+2+Vx-2 If a = prove that a -ax +1=0 Vx+2-Vx-2

A: To prove , we need to simplify the left hand side of the equation till it becomes 0. To do this…

Q: 11. Find the equation of the curve whose slope is "m" that passes through a given point "(x,y)".…

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Q: The integral of the given function ſ**-16) x3 3/2 dx is

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Q: If F(u, v) = u³ ln(2v) and u = x - 2y, v = " y compute 8² F Әхду

A: We need to find derivative of function F with respect to x and y.

Q: 'on the interval (0, 2 7) 27. Determine the relative extrema of the function y =2cosx+sin(2x). 5n…

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Q: VIt VI dx тр. a.

A: According to our policy at Bartleby, I can solve only one question. Given an integral : I=∫1+xx dx…

Q: Let z be a differentiable function of x and y related by the following equation: x+z (√y + cosh(z))…

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Q: not Show that ([0,1]_is in the l' metric d (fig)= (51f6)-96) ³d x) ² fumpluts

A: The given set is X = C[0,1] and the metric defined on X is L2 metric which is defined as  df, g =…

Q: 0. F A particie moves along a norizontal line. Its position function is s(t) problem, find the…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…