t+1 dy If x = and y = t2 - 2t +3, then find t-1 dx

Q: 5 (x² + y² )dx dy -5 J –1

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Q: dy and d²y if x = t and y = 3. Find dx dx? 1+t 1+t

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Q: dy yf'(x)-y where f(x) is a given function. Solve dx %3D f(x)

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Q: dy 3. Find dx? .2, Given that xy + x²y° = 5.

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Q: dx dy =1.95. dt Given y = x. Find when y= 3 and %3D - - dt (Simplify your answer.) dt

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Q: dy 3 1 +-y = 27y3 Inx, x > 0 dx

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Q: d²y Find particular solution for + 4 + 4y = 3xe dx dx

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Q: 6. f(x, y) dx dy

A: Double integration and area of integration

Q: dx 2. Find the value of at y=1 if x=z³+4z and z= (y² + 2y)²/³. dy

A: We have to use chain rule while differentiating.

Q: dy Q2 Find dx of x = *-Y 2 x+y

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Q: dy Find dx 4t t dt + 2 y = dt - t° + 2 - 3 6. dy dx (Simplify your answer.)

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Q: dy of x3 +v³ = 4 of X + dx Find O x? y² ,2

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Q: 2х-1 dy if y=f and f'(x)=sinx²,find dx x+1

A: According to chain rule of differentiation if f and g two functions are differentiable and function…

Q: General solution (hx+by+f)dy+(ax+hy+g)dx=0

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Q: choose the correct answer If y = t^2/(t^2+1) and t= √(2x+1) the dy/dx =

A: Given, y = t2t2+1   and  t = 2x+1 We have to find dydx.

Q: y=2 x=1+y e) | (2y +5x) dx dy answer: 31 y=0 X=0 1 2x (2ху - 1) dy dx answer: -1 x2 23

A: e) ∫y=0y=2∫x=0x=1+y2y+5x dx dyf) ∫-11∫x22x2xy-1 dy dx

Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10

Q: »4-x² 1-y- xe?y dy dx 4 - y (b) Ln(a² + y? + 1) d dy (a) 0, /1-y²

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Q: The domain (Dx) of y = 1 Vx-1

A: We have given ,         y = 1x-1 As y is under the square root its means y ≥0 .

Q: Find dx/dy for the function 2x3+xy2+2y=π2 when x=1 and y=2

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Q: Q2. Find 2 of y = 4x/x + Vx at x 1? dx

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Q: dx Using Rationalizing Substitution S- -=Sf(y)dy, find ff(y)dy- X√√x-1

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Q: dy (x2 – Vx) 2". Find using any method. dx Let y = - dy dx

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Q: dy d'y and Find dx dx2 x = t? + 2, y = t?+ 9t (i) 1+ (x- 2) dy %3D 1+(x- 2)() dx 3 d²y -{(x-2) %3D…

A: Given:   x = t2 + 2    y = t2 + 9t

Q: d’y_2dy 3 y=2sin°(x) dx Determine the general solution of 2 dx

A: We have to determine the general solution of the differential equation…

Q: 2t² Let y = 1-t 3t dy d²y . Find dx and and X = 1-t dx? It%=D4

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Q: ed²y "-xy+e*(1+ 2x) = 0. dx? dy 6. (a) If y = e¯* In x , find Then show that x dx

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Q: Find d^2y/dx^2 for; x-t^2 y=Dt^5-2t^3+1 *

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Q: dy d²y d³y Find and from: dx ' dx? dx3 1. x = cosh t and y = csch t

A: Please see the below pictures for detailed solution.

Q: d'y dy and y-(x3+2x-1)1/2 find dx dx

A: Given, y=(x3+2x-1)2we need to finddydx andd2ydx2

Q: 3 d²y If the functions are x = e-t and y = t+t + 1. Determine its dx2

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Q: dy at t = 2. dx If x = 5t +4 and y = 3t° -7, then find а. 4 b. 1 с. 2 d. 3

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Q: dy You need not expand your answer. dx Calculate y = (7x2 + x)(x - x2) dy dx

A: Here a function y is given as a product of two functions . We have to find the derivative of the…

Q: dy If =-x+4x -3 and y =2 when x =0 then y is equal to dx

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Q: Find the function y(x) satisfying =4 dy =4x-3 and y(6)30. dx The function y(x) satisfying --4x-3 and…

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Q: e2x -1 If y = In find dx dy e2x +1 ' Select the correct response: 2e2x e4x+1 e2x e 4x+1

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Q: 4e4sin6x dx secбx Evaluate A) -In|sec6x| + C B 4sin6x + C 1 e4sin6x+ D 4In|sec6x| + C

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Q: Find dy/dx for (x+y)^3+(x-y)^3=x^4+y^4 at-8 A(2,1) A)1 O B) 2/20 C)10

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Q: dy/dx=(x-7)e^(-2y) satisfy the initial condition y(7)=ln(7)

A: Use separation of variables to integrate.Given:

Q: dy Q4 Find dx 1- y = 2Vx. tanhx %D 2 - y = (4x2 – 1)csch(In2x) %3D

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

Q: 1-y Q2: Evaluate fo y²(x² + y²)dx dy -1

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Q: dy is Blank 1 dx Given y-xy2-x²y=2. Then, at the point (1,2), Blank 1 Add your answer

A: Determine the differentiation of the given equation.…

Q: dy -4 when x = 2 and dt 7 If 3x?y + 2x = – 32 and dx y = - 3, find dt

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Q: dy dx Suppose x and y are functions of a third variable t. If 2sin(x) + 4cos(y) =3 and dt -3, what…

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Q: dy dy -Find dx when x=4t2 + t – 2 and y = 3t³ –1, find dx

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Q: - +5. dx + 6y = 12(x+e") 1 dy given that y =- and = 3 when x

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Q: 4 x dx Y 3- SSin X

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Q: Find dy/dx in terms of x given that x = e3t, y = e2t+3

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Q: 5x Find dy for y = -5 sec 8 dy =dx %3D

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Q: dy/dx of the function (x³ - 2y² + xy = 0) at the point (1,1) is: B) 2/3 A) 4/3 O C) 5/3 O

A: We will use basic rule of differentiation to  find dydx   rule 1 : du±vdx=dudx±dvdx rule 2 :…