dx dy 1. " + y = x , dt = 3y dt |

Q: 3. f(x, y) dx dy f(x, y) dy dx

A: ∫03∫0yf(x,y) dx dy=∫03∫x3f(x,y) dy dx

Q: find dy/dx

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Q: Find y': y=- Vx* + 4

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Q: If z = In(x² – 2y), and x=u+v, y= e" , find and du If w=2xy'z', and y =x² +1, z= Vx, find dx

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Q: Calculate 2 4-y2 IL dy de y dx dy. T sinx SSasing dy dx @ $ ydydk

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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Q: f(x)= Aex, x> 0 Y= (x)1/A Where, A = 2 Find the CDF and PDF for Y.

A: Given that  f(x)=λe-λX  ,   X > 0 Y= (X)1/λ         where  λ=2

Q: Find df / dx and ðf / dy. f(x,y) = e(x + y + 8)

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Q: Find maximum rate of change of f at the given point. f(x,y)=sin(xy), (1,0)

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Q: COs X Compute the mixed second order partial derivative of z =

A: The mixed second order partial derivatie of z=cos x y5  is given by ∂2z∂x∂y=5sin xy6

Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Look at change in coordinates : u = x - y and v = x + y. Find partial derivative ∂u/∂x, invert…

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Q: Evaluate y dx + x dy along the curve y x² from (0,0) to (1, 1).

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Q: y = v2x + (1//2) х2 +1

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Q: Xyz f(x.y.z) = function is given dt P(2,t,) in point fax + fy + f2z colculate.

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Q: Find the maximum rate of change of f at the given point and the direction in which it occur f(x, y)…

A: Topic- Vectro

Q: vative of the a a lino diro

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Q: az Use chain rule to find x2 with x = 3rt and y = r Z =

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Q: Let 2x² + 5xy - 3y² – 14x − 7y + 20 = 0. dy Use partial derivatives to calculate at the point (3,…

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Q: compute th directional derivative of f(x,y) at point P in the direction of the point Q .

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Q: dy Using the parametric differentiation find dx if x = 10e10t, = 4e20t Y 5.00 e10t O 1.20 e10t 0.80…

A: x= 10e10t  y = 4e20t

Q: Ex: Find and . fie 28. u = rs? In t; r = x², s = 4y + 1, t = xy³ %3D

A: ∂u∂x and ∂u∂y

Q: 14. (a) Find the matrix of the projection P : R³ → R³ ont x+y+3z = 0.

A: Introduction: A vector space projection from R to a subspace W is represented by the n x n square…