Differentiate y = In x*V1-3x (2x-1)2 4 A. 4 | 1-3x 2x-1 4 4 1-3x 2х-1 4 C. X 1-3x 2x-1 4 D. +. 1-3x 2х-1 1. B.

Q: x + 2y + z – t = 5 3 x +y+ 2z + 2t = 8 4x + 4y + 3z+ 4t = 22 2 1 5 *+t =, 5

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

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Q: In Problems 19–56, solve each system of equations. If the system has no solution, say that it is…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: compute ∫_D 2ydx+3xdy, where D is described by 0≤x≤1, 0≤y≤1

A: Green's Theorem: Let C be a positive oriented, smooth, simple closed curve. Let D be the region…

Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

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Q: 1 If y = V1-x then y' = 2/1-x

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Q: 2x" + x' + 8x = t+1 t±¹, x(0) = 1, x'(0) = 0.

A: given 2x''+x'+8x=t+12 with conditions x0=1 , x'0=0 solve the equation using method of variation of…

Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

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Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: non homogenous question:  y"+2y'+2y = x2

A: non homogenous question:  y"+2y'+2y = x2

Q: 4. Calculate(Y/X)- – 2)* if: X = (; -) Y = (% ) z = ( ) (G Đ=z (F- )=« (4- )-

A: We will find out the required value.

Q: 12. f(x, y) = x' – 2x – y + 4y, P = (1, 2). -

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Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: Find d²y if y =x² +3x-7 and x=2t+1. dt?

A: y=x2+3x-7 and x=2t+1

Q: Evaluate f- 8x+1 dx V4z-3 (4x – 3)½ +(4x – 3) +c O b. (4x – 3)/2 +(4x – 3)i + C (4x - 3)%2 +(4x – 3)…

A: Given integral,∫8x+14x-3dx

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

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

Q: Compute (T2 T)(x, y). T(x, y) (3x, 7y), T2(x, y) = (x-y, x + y)

A: We have to find T2 composition T1 .

Q: Evaluate: ₁ 3 [(x² - y²)²] x+y So du dt

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Q: 8. Show that y = x° + 3x +1 satisfies y" + xy" – 2y' = 0.

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Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D

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Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

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Q: eliminate the arbitrary constant for: y=x^2+c_1 x+c_2 e^(-x)

A: Given y=x2+c1x+c2e-x                               (1) On differentiating both sides, we get…

Q: (2) Find dt2 if y = x2 + 3x -7 and x 2t + 1 | 2

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

Q: Eliminate the arbitrary constant: ry = C(x – 1)(y – 1)

A: Differential equation

Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+ C₁e-ax using 2…

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Q: dy If y = ( a² +1) (x³ + 3) dx %3D O 5x^4 + 3x^2+ 6x 6x^3 O 2x + 3x^2 O 2x^2 +2x+ 3x^5+9x^2…

A: Question 1,Given,            y=x2+1x3+3To find: dydx

Q: b) y = In(xeVx + 2)

A: The solution are next step..

Q: y = In /2x

A: The function is given by y = ln2x

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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Q: Show that y = x° + 3x +1 Satisfies y" + xy" – 2y' = 0.

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Q: Formulate the dual for the following LP model: 1. Max Z=400X, + 200X2 %3D s.t X1 + X2 = - 30 2X, +…

A: 1.

Q: verify that w xy= w yx. 55. w = ln (2x + 3y) 56. w = xy2 + x2y3 + x3y4

A: 55. Given function is Firstly, we find first order partial derivatives of w

Q: Evaluate [ T 1-x² x² + y² dydx.

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Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

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Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: 2. Verify the following derivatives : d а) dx 45x +(Vx + b) 4Vx(ax² + bx +c)]=,_ d 1 -(5ax² + 3bx +…

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Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

Q: Differentiate: y = x2 + 3x – 1 x2+1 A. x2+3x-1 -(x²+1) В. (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)² D.…

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Q: 5 +4y = 2 y(0)=1 dt

A: Given problem is:

Q: Differentiate y = x'arctan 2x 2x A. 1+4x2 - 2x arctan 2x 2x3 В. + 2x arctan 2x 1+4x2 C. 1+4x2 + 2x…

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Q: Find y' for x^2y^4−3x−3y=13 at the point (−1,2)

A: Given Data: Equation: x2y4-3x-3y=13 Point: x, y=-1, 2   Differentiate the above equation with…

Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

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Q: d^2x/dt^2+4dx/dt+4x=7    ;[x(0)=x'(0)=0]

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Q: 9. J(x2 – 2x +5) Vx+3 10. X-4

A: To find  The derivative of the given functions

Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

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Q: -4 3 (x²-y²)²] x+y Evaluate: ₁ du dt

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Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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