7 y = (x – 1)3' - 00 < x < -1 y 4 -4 -3 -2 -1

Q: Z4 =:₂₁ (4x²yz - dz dy dx S₁

A: Given ∫23∫-14∫104x2yz-z44dz dy dx ∫23∫-14∫104x2yz-z44dz dy dx=∫23∫-14∫104x2yz dz dy dx -…

Q: -0.5 Q3:Estimate √1 + x4 dx with an error 0.0001 ?

A: Given: f(x)=1+x4 To find: Value of integral ∫00.51+x4dx with an error 0.0001.

Q: 11). If dy = (2x – 3) dx and y = 2 when x = 3, find the value of y when x = 5.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: y (8x - 9y) dx + 2x (x -3y) dy = 0 where x = 3 and y = 7

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Q: y =  8.43x−0.1 − 0.5x−1 3.6 + x2.7  dy/dx=

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Q: Find L[e-3t sinh 2t] s2+4 s+3 (s+3)2–4 (s+3)²+4 (s+3)2-4

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Q: Dy/dx=(3x-5)(x+1);y=1 when x=-1

A: Given equation is: dydx=3x-5x+1 And the condition is: y=1 when x=-1

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: (x² + 2xy - 4y²)dx – (x2 - 8xy - 4y²)dy = 0 when x = 1; y = 1

A:

Q: 3 For y = 3x + x + 3 dy = -1 = dx

A: Given that:y=3x3+x+3To find: dydxx=-1

Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

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Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: 18. S V1+x dx 1-х

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Q: 2) y = ex + e¯X, 0 ≤ x ≤ ln 2; x-axis 2

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Q: dy Find for 3(x2 + y²) ² = 100xy dx

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Q: (3メーy-4) dy (x+y-4)dx when x« 3, y=7

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: 2) If y= 3x- 2x and clyldt = 3 1. Find dx/dt when x= 2

A: Given that: y=3x2-2x and dydt=3

Q: 2x+2 dx. 5. x2-2x+1 dy 6. 5. if y = (1+ x²)etan-1x

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Q: 10. (x+2y) 을. Fy. dx

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Q: 8. ylnx – x In y = c - 9. y = ln (coth x) 10. y = sec³Vx

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Q: 4 For y = 2x* + x° + 6x + 1 dy |x=0 dx ||

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Q: 7. f(x) = sech"(vi-x) 8. y = sech Inx

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Q: X = e not inelude th degreo QUmbelin

A: The triangle is shown in diagram ,

Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: OFind dy 9= (x²45x)"(x + Sec

A: The given function is: y=x2+5x4x+sec x5

Q: 1. S+1)dy y2+4

A:

Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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Q: 4. (x +y- 4) dx - ( 3x-y-4) dy = o when x=4, y=!

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Q: 3. Find dy/dx y=3^(x^2-1) x ln(3x-5)

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Q: (x+5) dy dx+ (x+5) dy dx+ 1-x2 14. 0, L 4-x2 (x+5) dy dx 0.

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Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: dy - 3x2 + 4 y = In ² x – In x dx dx

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Q: 9. (x²-x+y) dx - x dy = 0 10. (2y² + 2y + 4x²) dx + (2xy + x) dy = 0

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Q: Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

A: The given differential equation is dydx-2x+13=4yx+1

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

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Q: 17 (7+ x²^ dy when y = dx Find %3| 7 – x²

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Q: 2 4. S dy 1 y +y° - 3

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Q: ſx = s² – t² . z = 2x – 5y, ly =s•t³ · t3

A: We find complex function

Q: 4. if x^3+y^3=2 find the value of (d^2y)/(dx^2) at the point (1,1)

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Q: [4] s **-2x³-2x x²+1 [4] S² > [5] S dx dx ex-1

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Q: 5. fx² In x dx

A: See the details solution in below

Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: 12. Find dy/dx (x – 2)(x + 1) 3 X y = (х — 3)4 -

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Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

Q: Vaz x² S. (2) dy dx

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Q: 2x(y+ 1) dx – ydy = 0 when x = 0, y = -2

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

A: