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Q: {-) Evaluate the domain of f(x)=Ven(Sx-XE)

A: The given function is f(x)=ln5x-x24

Q: 20. Solve for the Wronskian of the set of functions: 3x - 1, x* - 2. 2x + 3 A. 4x (9x + 10x-90x -…

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

Q: Let z = e**y* , x = tan¬²(st5) and y = əz Evaluate as (2s+t)²* Select one: O a. 2xy³e{x³y?} t5 t –…

A: Given,

Q: 1 x⁹ Determine the derivative of h. Let h(x) h'(x) = = = 1 9 X 10 Determine the slope of h at x = 2.…

A: h(x)=

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: 8. Is the set of functions f₁(x) = 3e³x and f₂(x) = -3e3³* independent? Show using the -3.x…

A: Given functions- f1x=3e3x  and  f2x=-3e-3x To show whether the given set of functions is independent…

Q: |- Let f(x, y) = y²e* +y find fryy

A:

Q: *) Use the Wronskian to determine whether the functions y₁ = sin(3x) and y₂ = cos(4x) cos(4x) are…

A:

Q: xy* Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (a4+6y8)

A:

Q: Finel the ralves of a anel b such that the function aV5-x tb-1 it Hax cos(TT Ix) 9 +1+ b(x²-7)…

A: Note: There is an error in question, for the given function a has 2 values but it cannot be possible…

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

A:

Q: (d) Prore that the function f(x) =X is Continous but not unifomly Continous on the intenal

A: Use the  absolun delta definition for uniformly continuous

Q: Give an example to show that X' need not be separable if X is separable.

A:

Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: If f is a function defined from R to R, is given by f(x) = 5x - 3 then f -(x) is given by %3D -- 20…

A:

Q: успЈ where /_g[n_1] + n[n] 2 x[n] = (!) u[n]

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Q: Soluti 03 16. A 11 22 1 Let Ax- b be a linear svstem of n eauations in n unknowns, and assume that A

A: Given: A = 03-2114225, b = 75-2  and Ax = b To find: The value of matrix x.

Q: Let Ci and co be arbitrany canstants. Geneial solutian to the hamogencus dfferenti al oquation 1692…

A: Given differential is Cauchy Euler's differential equation

Q: 4. a) Solve the equation 5sin-'x- 2n = 2sin-'x-3n 6) Graph, find x where f(x) = g(x), bounded by…

A:

Q: Which of the following is the ODE of the equation Iny = C1e* + 2? Select one: O yy" + y²y' +lny =…

A: Given: lny=C1ex+C2ex To Find: Which one of the option is correct:…

Q: Q5.4 Let Lcg) be the following: (n-1) (4) Ly) =an you? (x) + an-ly² where the 4(y) = Ly) Ao, A, )…

A:

Q: The derivative of the function In In(coth a? – 1) is

A: follow next step

Q: 1. express the given function in the form f(z)= u+iv a) f(z)=6z-5+9i b) f(z)= z+ (1/z) c) f(z)=…

A: We know that z = x + iy We express the given function in the form f(z)= u+iv, where u = u(x,y) and v…

Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

A:

Q: Prove that y = e-3* (Acos 5x - Bsin 5x) + Cx; A, B and C are arbitrary constants will equalto y"(17x…

A: Given,            y =e-3xAcos 5x -Bsin 5x + Cx

Q: 9. Determine the inverse of the following functions. a) y = (x + 3)² – 4 b) y = 2(3x – 1)3 30 mot o…

A:

Q: Find f,(x, y) and f,(", y) for f(x, y) = (82³ – 3y?)". f.(x, y) = Preview f,(x, y) = Preview

A: Given function is

Q: find all x EIR such that 1z +zl + lz - loog | = (2+ 2015)

A: