Given: f(x, y) = arctan Find: F ƒ(x, y) dxdy x² - y² (x² + y²)² 3²-x² (x² + y²)² -y³ (y³ + xy²)² y² (y² - x²) (x² + y²)² X - y

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A: We find value of given  integral

Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

A: To solve the line integral ∫(2x - y)dx + (x + 8y)dy over the curve C, which is the x-axis segment…

Q: (x + y²)x dx + (x² + y)y dy = 0

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Q: d² y dx² Linear Equatoin/ variatoin parametee + y = tan x

A:

Q: Find fyzy. f(x, y) = x°y® – 7x°y+x

A: Given: fx,y=x5y9-7x7y+x   We can write as: fyxy=∂∂y∂∂x∂f∂y So, ∂f∂y=∂ ∂ yx5y9-7x7y+x=∂ ∂ yx5y9-∂ ∂…

Q: Consider the function z = ƒ(x, y) = 9x3 - 8x2y + 4y3.;Find dz.

A: Consider the given function, z=fx,y=9x3-8x2y+4y3 The formula of the total derivative dz is,…

Q: f(x, y) = 8 – + xy. I y

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Q: Evaluate (2x - y) dx + (x + 7y) dy. C C: x-axis from x = 0 to x = 2

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Q: of af For the function f(x.y)= 7x-9y- 3, find and dy

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Q: dy_ sec²y 1- 1+x² 2 when x=0 O y=

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

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Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3

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Q: dy : Find if dx 3.x 2) x - y 4+ y x +y 4) xy² x - y

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Q: 2х-1 given f(x,y) = e Find y ôyôx

A: We have to find the partial derivative with respect to x and then with respect  to y of the given…

Q: x° +7y For the function f(x,y) = x6 +y7* find fy, fy, f(1, - 2), and f,(- 2, - 1). fx =|

A: To determine the value of partial derivative.