Q₂i- If show that utt ч (хо) ut (x,0) - a 9/x). Z 3 u (X, Z) 2 Ux(xt) = a as 1x1_-2 ux 9. 2 u XX f(x) = u (xit) = ✓ الا f (x + at) + f (x-91) 2

Q: f (x) =, |2х-5 1 (-0,2) U[3,0), (-0,2]U(3, 0) , (-x,2)U[5,0) }. (-0,2) U[5, ) }. The domain of x-2…

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Q: Evaluate in terms of beta function: (1 – +) dx. - O-8(금, 금) O-8(를, 승) O B)

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Q: f(x) = -9 f'(x) = -(x²+9) (x²-9)2 f"(x) = 2x(x²+27) (x²–9)3 4. Given a) Provide a complete analysis…

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Q: Given f(x) = 1 –}(9+ 3x) + †(9 + 3x)² – (9 + 3x)³ then f'(x) = %3D O - + (9 + 3æ) – 243 (9 +…

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Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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Q: find f'tx) w/

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Q: Let f(x, y) = (- (4x + y))8. Then 22 дх ду òàò ([-(4 *x + y)]³)= дх ду дх 82 ә дх2 ду ([-(4* x +…

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Q: хах Vx2-6х +13

A: Let I is the value of given Integral.

Q: Show Vx Vy[p(x, y) → ¬p(y, x)] E Vx¬p(x, x)

A: Please check the answerin next step

Q: Let f(x)=x²- 3 g(x)=Vx+7. Find f(g(2)) 8 О 12 О -12 O O O O

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Q: السؤال 3 If F= (3t^2+4t)i+ (2t-5) j +4t^3 k then Fdt is 42i-j+80k IO 42i + 2j - 80k .II O…

A: Given that F=(3t2+4t)i+(2t-5)j+4t3k so the given integrate can be we write in the form…

Q: Determine the principal value of (3+j2)^(3+j2)

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Q: (5,-2,-6) UXV (b) (c)

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Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: B) If fx) =-3x² +13 and g(x) =x'+8r-2; find the following. i) (g+f)(x) ii) Ax) - glr) C) 1) If f(x)…

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Q: Find the inverse function of f. f(x) = x³- 9 O s-'x) = Vx+9 %3D O f-'x) = Vx+ 9 O 5-x) = Vx- 9 O…

A: Given function fx=x5-9. The objective is to find the inverse function of f.

Q: - 2 x f (æ) = V

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Q: A 9) Choose the correct inverse for the linear functions. f(x) = -4x- 1 O s(e) = = - O gle) =- %3D 4…

A: We have to find

Q: 3) a) Find the real and imaginary parts of the following functions: ^) f(2)= ²² +₁ Z-1 2) f(z) = 3z²…

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Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

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Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: the derivative () of = f(x) = 2

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Q: Prove that In( +VI-X²³) = In ( ¹+ √1-x²) sech ¹(x) =

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Q: Which of the following is the inverse of f(x)=√√x²-4? f'(x)=√x²-4 ƒ-¹(x)=x-2 Option 1 Option 2…

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Q: Prove algebraically that  A+A'B'=A+B'

A: We have to prove algebraically that  A + A'B' = A + B' We know that, the distributive property  A +…

Q: R ,,D المناسبة ل لداله الاتية : س / أختار قيمة x-2 f(x) = x+2

A: Root of the function is 2.

Q: Let f(x) = Vx and g(x) = x³ +1. Find 29 a) f(g(2)) b) g(f(4)) c) f(F(16)) d) g(g(0)) e) f(2+ h) f)…

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Q: 1 4[Vx(ax* + bx +c ]= 2Nx -(5ах* + 3bx + с) b)

A: We have to find  the derivative for the given function

Q: Given f(z) %3D 1-홀 (9+3x) + 을(9+ 3z)2-꿈 (9+3z)3 then f'(a) = 0-을 + 꼴 (9+ 3z) -부 (9 + 3z)2+ 0을-을(9+…

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Q: PLS HELP ASAP ON ALL

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: Let f(x) = 2x³ + 1. a) Find f(x+h): 2(x+h)³ +1 b) Find f(x + h) − ƒ(x): h(6h² +6xh+: 2h²) c)…

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Q: Let f(x) = 2x³ +1. a) Find f(x + h): b) Find f(x + h) – f(x): c) Find fe+h)-f(x). d) Find f'(x):

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