Q3/ 1- Let f: Zn → Z10 define by f(x) = 2x+2. Is fhomomorphism or not, explain your answer.

Q: Find the funchion f Such that F(x) xf (x)-x and fo) 2

A: Convert the given problem to a simple differential equation and solve the same.

Q: Show that f[x0, x1, x2] = f[x2, x1, xo].

A:

Q: Explain the Wronskian of 2 functions f and g ?

A: Let f and g are the two functions. The Wronskian of the n functions is the determinant of the matrix…

Q: The function f(z) is analytic if

A: analytic functions are functions which are locally given by the convergent power series. i.e any…

Q: Identify and sketch the domain of f(x, y) = 4x² In x Y

A: For function to be valid denominator must be non zero and log has non-negative real numbers and…

Q: Find and sketch the domain of z = f(x, y) = In(9 - x - y²).

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Q: Determine if F = x²yî + (xyz +29)ĵ – x²y²k is conservative or not %3D

A: For vector field F⇀=ui^+vj^+wk^ Curl(F)=i^j^k^∂∂x∂∂y∂∂zuvw   For vector field F⇀ to be conservative…

Q: evalnante the folobwing integrationollowing a fferent Path C I'm troid.cpathz pathi Re (3,-2) path3

A: Note:- For part (3) it is not clear that the term written with sint (or coefficient of sint ) is "I"…

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Let f(x, y) = 3x² + 4y? – axy. (a) Find the values of a such that the graph of f increases when…

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Q: Exercise 5: If f(x) = x5 + 2x³ + 2x, check that f is injective and find (f-1)'(-5).

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Q: Determine whether the function f : R\{2} –>R\{0}, defined by f(x)=(1/(x-2)) is bijective or not.

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Q: Find an sketch the domain of f(x,y)= 16x² – x² –4y². -

A: Given that fx,y=16x2-x2-4y2 To determine the domain of the function. fx,y is only defined for…

Q: Let f(x) = 2x 6x +5 then f(x) is concave down on Select one: O a. (-0,0) O b. (-00, 1) O c. (1, 0) O…

A: We can make it easier for you

Q: Sketch: f(x) = [x + 2]] − 1, on [−2,2]

A: We have to draw the graph

Q: (b) State the range of f for the domain given in part (a). f:A B f(x)=(x-1)²+4. (c) Define the set B…

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Q: Find the domain of (fof)(x) if f(x)= 2 x+2

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Q: 11. Consider the function 9: {0, 1}xN-Z defined as 8(a, b)=(-1)ºb. Is 8 injective? Is it surjective?…

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Q: Show that f(z) = 3z² + 2z+5 is analytic function.

A: Given

Q: Form the PDE by eliminating the arbitrary functions from the relation z = f(xy)

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