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

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: S x4X+1 2

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Q: Let f(x)=xsinx+V1-x Evaluate f'(-). Select one: а. 2 b. 0 C. d. 3

A: According to product rule of differentiation and according to power rule of differentiation .

Q: The functions f₁(x) = x² and f(x)=x³ are orthogonal on the interval [-3,3] ? True False

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Q: f (x) = -x² + 5æ, [0, 5]

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Q: Evaluate f, Iz2 – 4| dz

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Q: State the domain of f(x) =- x+3 O (e> 3} {x\x 2 3}

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

A: See the answer below

Q: Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic…

A: It is given that ;         u = 3x2y+2x2-y3-2y2 And we have to show that u is harmonic  and to find…

Q: St¹ sin(2t4) dt

A: Given integral:- ∫t7sin2t4dt

Q: Use moment generating functions to show that if X3 = X1 + X2, with X1 X3 - X V3 > vı, and X1 and X2…

A: Solution

Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

Q: Greaphically Convolve the fellowing twe_Signale x(t)# 2 time time 2

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Q: -2 -1 0 1 3 5 6

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Q: 1 Q/ show that the real part of the function Z2 is always positive, ZEC

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Q: Verify using Pathagoream Thereom EA 2xv x44 -radius

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Q: Show that lGl =20 , so G is not simple

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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: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x>1

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…

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Q: What is the largest domain of the function f(x) = V-x² + 5x + 6 ?

A: Domain of function: The set of all numbers for which function is well defined is said to be domain…

Q: If p(x) ab and q(x) = cb*, which function represents (pq)(x) ?

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