8.Prove the following relationships: a) I(X,Y)=H(X)-HOX/Y)

Q: B)Is w = Ze² analytical function or not?

A:

Q: Find the point on y = 4+ x² that is closest to (1, 1). 0 (0,4) O (0.142, 4.020) O (0.545, 4.194) O…

A:

Q: Let X: EXP(0). suppose Y= 2x , the Y is i = 1 Select one: a. Gamma (n,-) b. Camma(n. 4) С.…

A:

Q: Show that 1 < arg (z).

A: Inequality - A statement of an order relationship—greater than, greater than or equal to, less…

Q: Q3. Find y= fx) such that y

A:

Q: 1 Selving ou au at

A: We solve it by seperation of variable method.

Q: B) If f(x.y) x'y? +x*y , find: axdy *Əyər

A:

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

A:

Q: Let h(y) = (2y – 3)4 Determine the derivative of h. h'(y) 8 (2y-3) 5 ✓ h is differentiable on 05…

A:

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

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

Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: Find V x (V x F) if F(x, y, z) = 5xyj+ 9xyz k. V × (V × F)

A:

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

A:

Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

A:

Q: uppose that x + y = 2. What is y" at the point (1, 1)?

A:

Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is…

A:

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: 3. Find all functions from X = {a,b} to Y = {p,r, t}.

A:

Q: Find y as a function of a if y(1)=2, y(1) = 1. y = r²y" + 7xy +9y = 25,

A:

Q: Find m such that the function y= Aex satisfies the equation 2y"=y'+y

A:

Q: Let f(x,y) = 9 e2*y, then fxy 18 e2xy + 36xy e2xy

A: The denotation fxy represents the partial fraction of f(x,y) which is found as follows.…

Q: If f(2) = sin(z?) = U(x, y) + iV (x, y), determine U and V. Verify that the C-R

A: