1 4. xarctan(x)dx IT -2 а. IT -2 b. 4 с. 4 d. T-2 е. 2

Q: 8. (t² + 3) cos(5t) dt

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Q: 4. | e2x cos 3x dx

A: NOTE: You have posted multiple questions, we have solved the first question for you, if there is a…

Q: 7 I √49-x² 49-x²-z² Ľ -V 49-x² 1 √49−x²−z² (x² + y² + z²)¹/2 dy dz dx =

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Q: 3. (10 – 6y +e 3) dx -3x 2dy = 0 -

A: According to our guideline, we can solve only first question of multiple question. If you want…

Q: 7 1. 2ydx+x²dy = - dx; y = - when x =1 In 2 2

A: Given:- 2y dx +x2 dy =-dx  To find:- Solution of Differential equation at y = 7/2 when x =1/ln(2)

Q: 1 In (a² + y? + 1) dædy -VI-y? |

A: I use polar conversion method to solve this double integral

Q: 1 Ax dx = fe 2. 1 A. e* +1 4 1 1 -4 + e 4 В. 4 1 С. е 4 4 1 D. 1 e -- 4 4 1 e*+1 4 -4 Е. -

A: Formula: ∫eaxdx=eaxa

Q: (5an 20 elan 20 sec²2 Bd ß 1. e?x +2e* dx e* +1 2.

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Q: 2. Given that y = (a + bx)e-* where a and b are constants, show that +2 +y = 0 dx2 dx

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Q: 5 6 7 | || ? +y² +²) dx dy e -5 0 0

A: Given: ∫-55∫06∫07x2+y2+z2dxdydz

Q: 2) solve the ode: dx - (x + y + 1)dy = 0

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Q: ( sin(3x) e **) + 32- – 4y = 4x (By u x2 (-1-4) (4)(3:5) dx

A: As per the bartleby guidelines for more than one question only one has to be solved. Please upload…

Q: с1 (2-х2-у? -2-x²-y² Si S*- xye² dz dy dx

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Q: In x²/25+ x² dx , we let x=5sine. A True

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Q: SOLVE BERNOULLI´S ODE y1/2 (dy/dx)+ y3/2 =1 ;   y(0)=4

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Q: 2. Obtain the general solution using Bernoulli's equation. Simplify your final answer. + x dx - –…

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

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: b) ƒ(x,y) = ln(3x + 5y).

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Q: + 22/12 =)₁ y x² + y² dx + (ye³ +2²4₁²) dy = 0 =)

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Q: 25 a²y(cos(Tz) +2) dæ dy dz

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Q: 1. Use a substitution to find (6a2 + 2)e*+# dx showing working.

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Q: 1(cotx) dy dx = 1 ctan 10n а. 44 157 b.- 44 20n с. 44 1-A d. 2

A: topic:-  application of integration

Q: 12] (1+e* 1-ex S dx 3x2+14x+13 (3] S dx

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Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

Q: [° [² (5 x² + y²) dx dy

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Q: (cos) dydx 2πT O Option 1 Option 2 1 EIN 2

A: We need to evaluate double integral. Let , I = ∫π2π ∫0x2 1x cosyx dydx To find double integral first…

Q: 1. Separate x and y variable and solve the following ODE: 2 dx y In x- dy y +1

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Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

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Q: Given fe""dx = --e"3* Given [el-2)dx =--e"-2*) +c. Su;

A: Taking substirution method we have

Q: We have 3 3 27 dx dy = 4 y (x – 1)2 - Select one: True O False

A: Given query is to find statement is true or false.

Q: O cos 4x + (Dx + E) C) cos 4x + (Dx+ Am Cm 2:

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Q: 6 e + ex e dx et - 1

A: You have posted multiple questions.As per our policies , solving first question. Please ask the…

Q: 3 5. [20 points] Solve (x + y)dx+ dy=0 +x-

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Q: 24. Evalute dx r +1

A: Given: ∫0∞x12x3+1dx

Q: 3. (х+1)dy %3D (2хe* - ху- 2у)dx

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Q: 4 dx L 11. 1 + (2x + 1)2

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: -Solve b exact (Di sferential Egmation) Q 1- (3X+y Cosx) dx+(stux-uy)dy=o

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Q: 7.+y =}(1- =(1+ 3x)y* dx

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Q: 7. (у — 2) dx + (3x — у) dy — 0. ANS. 12x = 3y + 2 + c(y – 2)-3. -

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Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

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Q: 1. Separate r and y variable and solve the following ODE: dx y In x- dy y +

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Q: 27 dz, C: z(t) =t – ti, t e [-1,5].

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Q: 11. y= e4x %3D 2x 12. y= e cos 3x

A: We can solve this question using chain rule and product rule of derivative.

Q: 2 8 (x² – 2y2) dx dy

A: We need to integrate∫12∫08x2-2y2dxdy

Q: Find dy/dx in terms of x and y if ax^2-by^5=c^2. Assume that a,b, and c are all constants.

A: Given equation is-  ax^2- by^5= c^2

Q: (7/6 sin t dt cost 39.

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Q: 3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

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Q: С (4 — х — 2у) dx dy

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Q: 1? d²N dN – 2t-+ 2N =t ln t dt 2 di?

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Q: 20. e2= cos(z/4) dz

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