Q1 but f(x,y) = x²y²sin-'O xf, + yfy = 4f (x,y) between

Q: Find ∂y/∂x1 and ∂y/x2

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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: y®y' – 8y9 = ex ,8,

A: On simplification, we get

Q: Show that x +2 and oe) = *+6

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Q: Suppose that f(z, y) = 10z²y² + 8z? + 2y? then find the discriminant of f.

A: We have to find the discriminant of the function of two variables fx, y. It is given that the…

Q: SF. dr, where F (x, y) = (6x − 2y)i +x²7, Evaluate from (6,-3) to (0, 0). and C is the line segment

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Q: Evaluate |(a,b)=(0,0) given that f(x, y) = 3x² + [y]; x = e²a+b₁ e²a+b; y = a² + t² + 1 да

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Q: Find y' for y = 8x³ + 5x² − 7x + 4 - A) 24x + 5 C) 83x² +52x - 7x B) 3x² + 2x - 11 D) 24x² + 10x - 7

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Q: Show that U(−f, p) = −L(f, p) and L(−f, p) = −U(f,p)

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

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Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: Calculate fz(3, 6, 9), where f(x, y, z) = xyz. fz(3, 6, 9) =

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Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0<x<2 , 3<y<5

Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

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Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

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Q: Q/ Let X be the r.v such that E(X) = 2, E(X²)= 2a , E((2+aX)²) = 2a3 Find the value of a. %3D %3D

A: Let X be the random variable such that, E(X)=2, E(X2)=2a, E((2+aX)2)=2a3

Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

A: The given function is : fz=ax2+bxy+y2+i(x2+cxy+dy2)

Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: az Find at (2, -2, 1) if x2 + y? + z2 = 6xz+ 6yz + 21 %3D 8. %3D %3D dy %3D 25 25 1.

A: Given,x2 + y2 + z2 = 6xz + 6yz + 21

Q: f (x, y) = x² + 3y² + 4,

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

Q: Find f,(2, 4) and f,(2, 4) for f(x, y) = x* + 4x?y³ + 8y*. 2.3 f-(2, 4) = f,(2, 4) =

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Q: f(x, y) = /4x? + 2y² f-( – 3, 1) = |

A: