dy Given y= x³In x, -is dx A 3x2In x B B 3x2in x+ x2 ( c) x2 D 3x2

Q: dy for y = x2 - 8. Q2) Find dx x-1

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Q: dy If y = (x +4)(x-9), then dx Select one: a. dy = 8x14 – 20x3 dx %3D b. dy = 8x7 - 20x° dx %3D C. =…

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Q: d²y Find dx2 , if y vx-x Jy = 9

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Q: d²y · given that y = (2x + 3)²(5x – 1). 9 find dzy dx2 %3D

A: Please refer to the image below.

Q: dy If y = V2-x, then find de 10. A 2-x 1 В 2/2-x 1 C 2-x 1 D 1.

A: Given y = 2-x we have to find dydx.

Q: d'y 2y If x + y = xy, show that dx2

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Q: S Sz(x² + y³)dxdy, wherein B = {(x, y) E R²; 0 < x² + y² <4}.

A: Double integral

Q: d²y dx² - dy - - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: d³y 4. dx3 d?y dy -2- dx2 + 4 – 8y = 0 dx

A: The given differential equation is; d3y/dx3 -2d2y/dx2+4dy/dx-8y=0.

Q: dy If y = (9x2 – 6x +2)e3* find then choose the correct answer: dx %3D

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Q: d³y and dx ' dx2 dy d²y Find from: dx3 3. x = V1 - t and y = t³ – 3t |

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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: dy Find for x'y' +e2x = -3e" -1. dx

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Q: d²y Find dx2 Given: 2xy + 2y² = 1

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Q: f (x) dx 21 and g(x) dx 14, find 3f (x) + 5g(x)] dx.

A: ∫09f(x)dx = 21   ∫09g(x)dx = 14∫093f(x) + 5g(x)dx = ?

Q: Q7 Find dy using substitution: dx y = csc-(x3 + 1)

A: Put u=x3+1. Then, du=3x2dx Therefore, the expression y=cosec-1(x3+1) becomes,…

Q: d'y d²y dy dx3 -2 dx2 +9. - 18y = 0 dx

A: Given equation is d3ydx3-2d2ydx2+9dydx-18y=0Here we have a linear differential equation which…

Q: 8x - 2y f(x, y) 7x² + 5y a² f dy? dxðy dydx

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Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

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Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: dz (D2 + 16) (D² + 4D – 5) (D² + 2D - 3)*z = 0, Dz = dr

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Q: Find d2y/dx2   e4y+x=8y

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Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: dz If x4 – y4 + z - 3z = 2, then %3D %D dx a) 4x3-4y3 3-4z3 b) 4x3 3-4z3 c) None of these d) 4x3+4z3…

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Q: Q3 / Find d²y/dx² for the following; (5sec 3x) 2. x = t - t3, y = 2t + 5 1. d? dx2

A: The term represents the second derivative of the variable y. It can be obtained by differentiating…

Q: find in terms of x and y. dx 18) x =-4y+2y

A: x2 = -4y +2y3 To find dy/dx in terms of x and y

Q: (х + 2у)dx - Зydy %3D0 o x* - 6x²y? + 8xy – 3y* = c o 3x* - 8x*y? + 6xy - y* = c o x* + 3x²y² – 4xy³…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: dy Find the general solution + = 5(x – 2) Vỹ. y dx x-2

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Q: ;F · dř = Sc(-5æ + 4y³) dx + (x³y) dy, what is F?

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: d²y if 2x2 + 5y² = 9. Find %3D dx2 Provide your answer below: -口 dy dx2

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Q: dy Find dæ? for y = csc(x) d²y dæ² ||

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Q: Find the function​ y(x) satisfying d3y/dx3=36, y′′(0)=14, y′(0)=5, and y(0)=8.

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Q: Find d^2 y/dx^2 in terms of x and y. y8 = x9   d^2 y/dx^2

A: Given expression is, y8=x9

Q: Q2: Find for (x+y) +(x- y) x +y* %3D dx

A: Derivative wrt x

Q: Find dy for the given values of x and ∆x. ; y = 2x3 - 5x; x = -2, ∆x = 0.1

A: Given y=2x3-5xx=-2∆x=0.1 To find dy

Q: C:y 2x, x 8 ing (x² + y³)dx + (2xy +3)dy1

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Q: Q3 / Find d²y/dx² for the following; d2 1. sec 3x) 2. x = t – t³, y = 2t + 5 dx2

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Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

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Q: dy Q5/ a) Find 2 if y = esin (2x) dx

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Q: dy Find dx2 x = t – 7, y =t - t2 dy

A: See the details solution below

Q: d'y Find dx2 (a) y = 6x3 – 7x² + x dy dx? (b) у — 7а? — 6х +9 - d²y dx? x + 2 (с) у — d'y dx2 (d) y…

A: We will solve the problem

Q: Find  d2y dx2  in terms of x and y. x2y2 − 2x = 7 d2y dx2 =

A: Given The equation is x2y2 − 2x = 7

Q: d-y if x = t – t² and y = t -t3 dx2 1. Find

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

Q: y" -2y'-3y= 4e* +5, 54 d³y d²y 9. 3x %3| 3 10. . = 3e* +4x? dx? Soluc

A: In the question it is asked to solve the differential equation  y''-2y'-3y=4e3x+5…

Q: Given that x = t3 + t and y = (3/2)t4 + t2 find: a. dy/dx b. d2y/dx2 c. d3y/dx3 d. d4y/dx4

A: a. dy/dx   dxdt = ddtt3+t = 3t2+1dydt = ddt32t4+t2 = 6t3+2t   Hence, dydx = 2t 3t2+13t2+1 = 2t

Q: Given x=2t2+1 and y=t4-3, find the formula for d2y/dx2

A: Given the values of x and y. We have to compute d2y/dx2.

Q: dy is If x? +2xy= y2, then dx A 2x+2y X-y B 2(x + 1) X +1 + |>

A: Given: x2+2xy=y2 The objective is to find dydx

Q: dy b. If y = V(B1e* – B2 x³ + B3 x + B4 + In(x))5 , then find the dx A1=1 A2=5 B1=4 B2=6 B3=2 B4=1

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