Given: The given Laplace equation is = 0,0 < x < a, 0 < y < b and the given boundary conditions are o = 0, = 0, u (x, 0) = x and u (x, b) = 0.

Q: Show that the equation Fu 1 u 0x² ² 3t² 0 is satisfied by u=f(x+ct) + F(x-ct) where fand F are…

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Q: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x…

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Q: The domain of the function f(x) = v2x- 3 is -) a) b) c) (-0,2] d) (-0,3] b d. a O c

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Q: f(x, y) = √5x² + 4y² fa(2, 1) =

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Q: The domain of F(x, y) =x*y+ x*+ = 1 D =R²- {(0, -)} A O D=R BO D=R? .C O D=R-{}

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Q: -メ~1) (メ-2) (x+3)? xp (1-X-

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Q: AE: GS: PS: m²³_6m² +9m =0 m(m² -com +9)=0 m (m-3)² = 0 M=O (M= 3) (2x) 3x y = a + c₂₂e²³² +₂e² Dy =…

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Q: f(x, y) = √√2x² + 2y² fz(-2,3)=

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Q: Given f(r, y) = 4a* + 3a*y" - 3y, find 2.6 f:(z, y) = f,(z, y) - fz(2, y) fay(x, y) =

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Q: iven f(x, y) = 100x + 80y - 3x² - 5y² - xy valuate f(7,6) =(7, 6) =

A: Given query is to find the value of the function at indicated point.

Q: me pueden ayudar a resolver f(x)=x 2,g(x)=x+1 encontrar la funcion (fog)(x) y (fog)(5)

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Q: I know the answer is D. can you help me learn by showing how it is D

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Q: Let fx) = x + 2x and g(x) = x- 5. a) Find (f ° g)(x). f(x+h) – f(x) b) Find the difference quotient…

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Q: A. f(x)=x'+3x-x-3; f(1)=0

A: Q 1 Consider the given polynomial as fx=x3+3x2-x-3: f1=0 If f1=0 then, x=1x-1=0

Q: f(x, y) = x²/(1 + y²) (a) f(-5, 0) (b) f(14, 1) (-) (c) | (d) f(-8, y)

A: Put value of x and y in given equation.

Q: f(x, y) = In(4x + 3y) Calcule

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Q: Dada la función xy f(x, y) = 3x + 7y Calcule fyz 42ry (3x + 7y) 42 y? (3z +7y) 42z2 (3z + 7y) 42xy…

A: Given query is to find the indicated derivative.

Q: Differentiate: 3 a) F(y) = ( (y + 5y³) x²e* b) f (x) : x2+ex А c) f (x) : B+Cex

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Q: Q/ Let X be the r.v such that E (X) = 2, E(X²)= 2a , E((2+ aX)?) = 2a3 Find the value of a . إضافة…

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Q: 20) For the the function f(x) 5x-2, find f(4a+ 1) A) a-1 C) 9a-3 B) 20a - 1 E) 20a + 3 D) 9a – 1

A: Given that  f(x)=5x-2 Find f(4a+1)

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: 13. In y = what is the derivative of 2x2 +3? x+1 a) 2x b) 4x c) 4x +3 d) 7

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Q: Let f(x, y) = √150 - 4x² - 2y² Evaluate f(4,0)

A: GivenA function  defined as followsAimTo evaluate the function at For a given function , the value…

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: Verify that 5 18 11 2²4 ахду 22+ дуох - for f(x, y) = 2x³y6 - 4x5y4.

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Q: 2. In y = c+ C2*

A: We have to eliminate the arbitrary constants c1 and c2 from the equation lny=c1+c2x. This is…

Q: If f(x) = x + 9 – x and g(u) = u + V9 – u, is it true that f= g? Yes No

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Q: 3x + 11y af If f(x, y) = then is : 3x – 11y dy - 66x (3x + 11y)² 66x (3x – 11y)² 66x (3x + 11y)2 66x…

A: Partial derivative

Q: lo UcE - Uxx=0 4(x,0) = f(x) 4= (x2,0) = g(x)

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Q: f(x)=ax^3+bx^2+cx+d f(0)=5 (1,1) is an inflection point. Find a,b,c,d I know a=2 and d=5

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Q: If B = x°ya, + (2x + y)a, – (y – 2)a, find (a) V B (b) V X B (c) V (V B) (d) V x V X B

A: Given : B=x2yax +(2x2+y)ay - (y-z)az

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: 3.) The total weekly revenue( in dollars) that Depot realizes in producing and selling its speaker…

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Q: Find the derivate of the function: a) • f(x) = 5x + 4 f'(c) = 2 d) • f(x) = (5x²³²-4) (8X+S) b)•…

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Q: The sum of two positive numbers is 420,then the function that models the product of the numbers is…

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Q: How did become ⟨T(v), T(v)⟩ ?

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