Find K and f (x), P.d.f.

Q: Find e* + x-2 + C e* – 1+ C + C (1/2)x² e* – In |x| + C

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Q: -f xy + a3 (1

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Q: Q3) If f(x, y²) = x² + y² + vxy find af(x².y) and (x²y) ax ду

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Q: - a°y°, show that fæy = fyx. 85 Problem - 24: Given f(x, y) =

A: Solve the following

Q: c) x + w²/x = t, x(0) = 0 and x(0) = 0

A: The given differential equation is, x''+ωn2x=t where x0=0 and x'0=0. It is required to find the…

Q: If S f(x) dæ = 10 , and 10 , and 2f(x) dx = 4 , what is S f(x) dx ?

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Q: Given the function P(x) = (x – 1)²(x – 4) - -

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Q: Given f(x, y) = 5æy® - 8x°y. Compute: ||

A: Given  f(x,y) = 5xy6 - 8x5y

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: Find dy for the given values of x and ∆x. ; y = 2x3 + x2 - 4x; x = 2, ∆x = -0.2

A: Find dy for the given values of x and ∆x.

Q: Find the extreme values of f(x, y) = x² .

A: Given,                f(x, y)=x2+2y2                           ...(1) Subject to…

Q: f(x, y) = In(4x² - y) %3D

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

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Q: (b) k(x) = |æ| + |x – 1| at c1 = 0 and c2 = 1.

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Q: Given f(x, y) = 4x°y+ 7xy*. Compute:

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Q: If Sc F · dr = Sc(x + 4y?) dæ + (x²y) dy, what is F?

A: Given ∫F→dr→=∫x+4y2dx+x2ydy

Q: Find f, and f, for f(x, y) = 9(5x-8y +3)°. fx (x.y) =D

A: We have to find partial derivative

Q: What is the particular eq. of the given:   y"-3y'+2y= xe^x +1

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: f cxsy) Xy R:oみメーか and 三

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

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Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

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Q: 24. f(x, y) = In(x² + y)

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Q: Select one: a. S={ X2 %3D b. , X €R} S={ 1 C. X 1 X1=2x2} X2 O d. S={ X1=X2}

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Q: Find Df,Rf/f(x). X 3 √x + √ X

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Q: 3. y = x³ – 3(x² + w²) 4. y = x7 + V7x - 1 TT + 1

A: Differentiation wrt x

Q: Find fogo h. f(x) = x – 5, g(x) = Vx, h(x) = x – 5 %3D

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Q: Discrete

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

A: Root of the function is 2.

Q: Compute f(c+h)−f(c) at the indicated point. f(x)=4x^2 ; c=5

A: Compute f(c+h)−f(c) at the indicated point. f(x)=4x^2 ; c=5

Q: Find 2f (x) dx jf f (x) dr=2 and f (x) dr= - 6

A: We have to find out

Q: Find fogo h. f(x) = x – 8, g(x) = /x, h(x) = x – 8 %3D

A: Given that: f(x)=x-8g(x)=xh(x)=x-8

Q: Find for following ds 1.y = (x³ + v3x)S

A: As per our guidelines we are supposed to answer only first question. If you want solution of another…

Q: Find Ay and f'(x)Ax for y = f(x) = 3x° x= 2, and Ax = 0.08.

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Q: Find f′(x) and f′(c). Function f(x) = (x3 + 4x)(3x2 + 2x − 5) Value of c = 0

A: Given:fx=x3+4x 3x2+2x-5  To Find: f' (x) and f' (c)

Q: Determine c1 and c2 so that y(x) = c1 e^2x + c2 e^x + 2sin x will satisfy the conditions y(0) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is…

Q: The discriminant of ax2 + bx + c = 0 is defined by_________.

A: The given equation is ax2+bx+c=0.

Q: Í (x)dx, iff(x) = Vx -k +1;k-15x <k, k = 1, 2,.n.

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Q: If G(x) = S T/1+tdt, then G'(3)

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Q: Find gof. f(x) =x², g(x)=x- 4 († +zx) O

A: Find gof

Q: f (x, y) = x² + 3y² + 4,

A: Supposing the question is asking to find the local minima value.

Q: [F(x, х, х, х) — х] (х— х) — b K5 x- e-d <{x- [Ks – 1] (e– d) S {* x (е- d) [Кз — 1]—Ь e- d | | 1…

A: Algebraic identity: Algebraic identity for the square of the difference of any two algebraic…

Q: Suppose z is a function of x and y, and z^xe^6y=y2+x2. Solve for ∂z/∂x and ∂z/∂y. [b]

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Q: Given f(x, y) = 6x²y – 5xy*. Compute:

A: This question is based on Partial differentiation.

Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

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Q: Find for w = x as

A: To solve given question first we substitute the value of x,y and z in given function W=XYZ and…

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: Find fxxx for f(x,y)=x2y2

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Q: Solve for fxx, fxy, fyx and fyy given f(x, y) = 2 ln(x − y).

A: The given function is:fx,y=2 lnx-y.We need find fxx, fxy, fyx and fyy