If fxy (x, y) = y for 0 < y < x < 2 then P (Y > 2X - 2) =

Q: 1. If y = 3x + 2x3 - 3x + 2 find Set A. d'y/dx?

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Q: If y=sech (kx") and (

A: Given,       y=sech-1(kxN)   and (1-289x10)(y')2=Ax2

Q: -3dy 6. zy2+14y+70

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Q: then fxy Q4: If f (x, y,z) = x²y³ – y²z3 %3D -

A: we have to find partial derivative

Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

A: Concept: Partial derivatives: In differential geometry and vector calculus, the partial derivative…

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

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Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

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Q: f(x, y) = x + y' subject to x + 4y = 29 occurs.

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Q: 4. f(x, y) = 10x²y* – 6xy2 + 10x2; fx(x, y), fy(x, y) %3D -

A: Consider the given function as fx,y=10x2y4-6xy2+10x2

Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = 2x3 + 3y2 + 1.

A: To verify that

Q: 31. If 9x² = y(y – 3)², show that (y + 1)² ds - dy². 4y

A: We know that Given Firstly, we find dx in terms of dy

Q: Find d²y if y =x² +3x-7 and x=2t+1. dt?

A: y=x2+3x-7 and x=2t+1

Q: - 5x + 4y – 3z = - 1 - 10x – 4y – 4z = 46 20x – 4y – z = - 44 (x, y, z) =

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Q: [d] If xz = yz and z - 0 then x = y

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Q: Find ax dy x-2–1 given y = 2x3

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Q: Right AXYZ with mZX XY = 12V2 Given: 45° and Find: XZ and YZ

A: Given a right angle triangle ∆XYZ and m∠X=45° and the adjacent length XY=122. To find XZ and YZ.

Q: If f(x,y.z)= In(x2 +y³ +2z5), Find and dx² dz2

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Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

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Q: Find fx, fy, fz f(x,y,z) = x – V2y² +z?

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

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Q: (b) If z = 9t²e 4, find dz dt 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Se-2t if 0 3,

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Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3)

A: Given: f(x,y)=ln|3x4+5x2y2|∂f∂x|(2,−1)=fx(2,−1)=?∂f∂y|(−4,3)=fy(−4,3)=?

Q: Find fxy(x,y) if f(x,y) = (x² + y²)6.

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Q: 2,t-3P dt, then %3D 12

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Q: (2) Find dt2 if y = x2 + 3x -7 and x 2t + 1 | 2

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

Q: Find dy if y= (4x+3)/(x2+6)

A: Quotient rule for derivative: ddxuv=vdu-udvv2

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

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Q: If y = (x + 1)(2x – Vx), then y' will be,

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Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=

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Q: *宗+> B. If z = show that x 3z %3D x+y

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Q: Then: f(x, y) = exy 2z3y fxxy 2 2z?y fxxz' XXZ 2z y Ofxyy= x2 Of- 2z3y2 fx² X

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Q: Find dw. If w=2x3 +3x2 y-6y² 3 dw=(x2+6xy) dx+(3x2 -y) dy Ob dw= (6x2 +6xy) dx+ (3x2 – 12y) dy

A: This question is taken from the partial differentiation in which we have to total derivative of the…

Q: Calculate fxyy for f(x,y) = x 3 + y2ex.

A: Given function is fx,y=x3+y2ex. To calculate: fxyy. Solution: fxyy means first partial derivative of…

Q: dy 3y y torh(x) + 2

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Q: If y = x*+2 then y' at x = 1 is equal to

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Q: Find y' for x^2y^4−3x−3y=13 at the point (−1,2)

A: Given Data: Equation: x2y4-3x-3y=13 Point: x, y=-1, 2   Differentiate the above equation with…

Q: />(4y++ +9) * dy 12y2-

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Q: Find fx(x,y) and fy(x.y). Then, find fx(- 4, – 1) and fy(- 1,3). 23| f(x.y) = In |8 + 5x²y³|

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Q: f (x, y) = x² + 3y² + 4,

A: Supposing the question is asking to find the local minima value.

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

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Q: 2. If x² - xy + y² = 3 find y' and y".

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Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

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Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: If we use the secant method on fx) = x+x+3 with x2 and X-1 = 1, then X, is

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: If y = x(x – 1)* then y' at x = 2 is equal to

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Q: Solve for fxx, fxy, fyx and fyy given f(x, y) = 2 ln(x − y).

A: The given function is:fx,y=2 lnx-y.We need find fxx, fxy, fyx and fyy