Vĩ r3y p8- 8. dz dx dy 9. çdx dy dz хуг 2+3y² -3-3х с3—3х--у 7/6 c1 10. dz dy dx 11. y sin z dx dy dz

Q: 7/2012 - y x² + y² (²) di dx + (ye³ +2²) dy = 0

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Q: 4 b. [√x ln xdx, 1 4 ㅠ C. fx√4-xdx, d. fx sin (2x) dx. 0

A: Solve the following

Q: 3 2 2. (2x + 3y' )dx + 9xy'dy = 0 dy 3. Sin 2x dx 2y 2Cos x

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Q: [(5e* +4e 2* – 3e )dx 6. [(e* +e*)°e**dx 5. 4 sin 3y – 6 dy ços 3 y 7.

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Q: IF y = u* + 3u² & u = 3x Find dy dX

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Q: E 34 ,8-23y² dz dx dy 3-3X p3-3X-y SSS(x+y+2)dy dx dz

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: cos2y−3x2y2)dx+(cos2y−2xsin2y−2x3y)dy=0

A: Mdx+Ndy =0 form so  first check it it is exact differential equation or not. If dM/dy=dN/dx. Then it…

Q: (x² + xy – y²)dx + Gx? – 2xy) dy – 2xy)dy = 0 1 1 x3 +**y- xy? = C 1 x3 +x²y + xy² = C x²y Option 1…

A: A differential equation of the form Mdx+Ndy=0 is said to be an exact differential equation if…

Q: 17. (бх - 2у + ye")dx + (хе" - 2x)dy 3D0 19. (у? + ysenx)dx +(у+2хy- сos x)dy 3D 0 21. (2x-e' + ye*…

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Q: 25. (ye*" – 2y³) dx + (x e*' – 6xy² – 2y) dy = 0; when x = 0, y = 2. ANS. e* = 2xy³ + y² – 3.

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Q: Find dy/dx if y = u5 - 2u3 + 8 and u = x2 + 1.

A: Given function are: y=u5-2u3+8......(1) u=x2+1......(2) The objective is to find the value of dydx.

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: 2メ 2以 (3 e dy+ 2(yeーdx=o Sinx. dy +(asx) y=tanx

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Q: 6 Find y" 2 2 x²³² +9y² = q d d & [x²+9y² ] • * [9] 2 dx Lx dx dy 220 +9 (21) ax =O dy 2x+18 Yax dy…

A: We have to find out derivative

Q: 8. 9. 10.¹₁²(x² (2-y)dy dx π/4 /²x cos y dz dx dy + y² + z²) dx dz dy

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Q: If x3 + y3 +x =27xy Find dy/dx if x=-2 and y=2

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Q: x = xyln (y) – y² xy ln (x) – a² dy dx Option 3 O None of the choices dy dy dx dx x2 Option 2 Option…

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Q: 2x-x ca ch(y) 3 dy dx = 3 dx dy, then If (A)5, 0 2a+g(1)+2h(0)=

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Q: 25 a²y(cos(Tz) +2) dæ dy dz

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Q: C. dy b. 4 sin 2x> , y = 2, when x = 2 %3D dx dy С. dx = x + 3+ e2x>, y = -1, when x =

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Q: 5 To-4x D 5-2x NILS (6z²) dz dy dx

A: solution:-∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x6z3305-2x-y2dydx=∫0…

Q: dy 2 3 ...2 C05X +sinx...y.-(4x+5). y. ---

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Q: 7. [(4cosx+3sin.x)*dx 8. ſcos°(3y)dy 1 (у-5)3 v – 5)³ 9. -dy 7 y3 (3 – 2 cscx)² 10. cotx

A: Integrate above function.

Q: 3. f Arctany dy 4. fx(2x - 1)'dx 5. fycsc²ycoty dy 6. fxsin4xcos4x dx

A: The given integrals are;  5) y csc2y coty 6) x sin4x cos4x.

Q: 3. Evaluate 2y²sinxy dy dx 4. Evaluate , S sin(x² + y²) dy dx

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Q: f sinh3³ x dx Ocosh³z-coshz+C O3 cosh³r+C 3 Ocosh³z + cosh 2+ C Ocosh³ +C O None of the choices

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Q: 5. Evaluate r'sin(y³) dy dx

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Q: 10 5. Find dy/dx if x tany + y" Sec x = 2x.

A: 5. Given: x2tan y+y10sec x=2x Differentiate both sides with respect to x: ddx[x2tan (y)+sec(x)…

Q: 8 cos (2r² + 2y²) dy dr Hint You could take a cab to the pole.

A: Given the integral is ∫02∫04-x28cos2x2+2y2dydx

Q: 3 [[ 3x² + 4y dy dx = [[ 3x² + 4y' dx dy 4y³ We have Select one: True False

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Q: 3 .4 ²³₁₂₁ (4x²y — z³) dz dy dx

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Q: 4-compos dx dy 5-find dry if f(x, y) = xe xe 6- find (x²³/2)

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Q: If 4x2 + 8xy + 9y2  - 8x - 24y + 4 = 0 , find dy/dx

A: Use chain Rule and basic power law of derivative to find the dy/dx.

Q: ^4-x² •6-z 2. Evaluate: dy dz dx. 3x2 4-z 3. Evaluate: dx dy dz. Jo Jo 0.

A: To solve the given triple integrals

Q: Find dy/dx 1. y= cos ( -2x -10) 2. y= cos³ -5x

A: We have to find derivative dy/dx.

Q: 1. fx³e*/2dx /4 2. S*x sin 2x dx

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Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: 8. (e sin y + 3y) (3x - e" sin y)y' = 0

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Q: + 5y2 ) dx + 8xy dy = 0 dx du 8 u Bu? + 5u + 1/2 Every option is false dy du + Su + 1/2 dy du 5u +…

A: Given

Q: 13) xdy - ydx = 0 15) y cos(x)dx +3sin(x)dy 0

A: I am solving questions 13 & 15 . The detailed solution is as follows below:

Q: IF y = u+ + 3u2 & u = 3x Find dy dX

A: If y=f(u) and u=g(x),thendydx=dydu.dudx dundu=n.un-1

Q: Find dy/dx and simplify whenever possible: 1. y = earctan x 6. y = x2x 7. eln 4x + eln 4y = 1 e2x -…

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Q: сл/4 сл/2 30. cos(2x + y)dy dx )л/4

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Q: If y=u³ and u = 4x² - 2x + 5, give dy dx

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Q: 4. y(x³y³ + 2x² – y)dx + x³(xy³ – 2)dy = 0; when x = 1, y = 1 5. (2у — Зx)dx + xdy 3D 0 .3,,3

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Q: dy 1- IF y = cos(3 cos 2x) find dx 2- IF y = (x3 + 3)(2x* – x) find y" dy 3- IF y = sin x find when…

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Q: If sin2y = (8/3)x° then dy/dx at a point (0.5, T/2) is

A: take derivative

Q: d³y d²y +6 dx3 dx² dy -+ + 11 ax+6y = ex + cosx dx

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