Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

Q: I know the correct answer is D but please explain

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: b) Is f x(x² + 1)dx = x² (;+x) + C true or false? show me

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Q: evaluate using the appropriate method or combination of methods.

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Q: (2x-1) dx 3 2x²-x²-27x +36 f

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Q: Evaluate √2 4 √1-x² dx.

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Q: b=? The following equation is exact if (bxy²+4)dy=(7x-4y³) dx O 12 O-12 04 O None of the others -4

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Q: Clear my choice 4x + 11 dx %3D 11 +c 2x2 4x 11 +c 2a6 4 O 4r + О 4 2x2 11 +c 2x2 4x + 11 +c 6x2 4x +

A: we need to integrate the given function ∫4x3+11x3dx

Q: B S x4+5x³-6x² +18 x³ + 3x² dx.

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Q: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

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Q: Please Answer True or False: If S V5 +x2 - 5 - 5 dx = +C, then dx = - 0 x2 V5+x2 22 x2 V5 + x2 2.

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Q: 2x³ – x² + x + 2 y= (: dx%3D C D + x + 1 Consider dx. , find A+B+ C+D. x4 + x3 x3 5 4

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Q: dx √3 1 + x² ||| A B I✔ E & X Ⓡ 3

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Q: evaluate using the appropriate method or combination of methods.

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Q: Evaluate (D4 + 3D³ + 2D²)y = 0 a. y = C1 + C2x+C3e¬* + C4e' b. y = C1 + C2x+C3e¬* C.y = C1x +…

A: To solve the given differential equation.

Q: 85 MATH2215 2x+1 dx x2-7x +12 2x+1 メー4XX-3) B. (X-4) (X-3) ACX-3)+ B(X-4) てメー4)CX-3) = Ax-3A+Bx-HB…

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Q: d²y Find dx2 if –10x – 6y = -6.

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Q: 22 +3 z* – 22² + 1 8. Evaluate +el/dz, C: |z-i– 1|=2, CCW.

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Q: Vx + 4x + 3 dx x + 2

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Q: evaluate using the appropriate method or combination of methods.

A: Factor the denominator

Q: e² 1+2e +e S Select one: O A. dx 1+6² 2 1+6² +C +C O B. OC. +C OD. +C -2 Ite -1 1+e

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Q: x3 e2x dx. Integrate

A: ∫12x3e2xdxThis can be done by two steps;Step-1:integrate without limitwe can integrate by parts∫fg'…

Q: 20+y dy 20-y -20

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Q: d 2 + 3x dx

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Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: .3 dx J Tx²+9 .2

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Q: x2 +3 dx x (x2+2x+1)

A: This is a question of indefinite integrals.  To solve this question we will apply the concept of…

Q: Find at x= 2 dx? 4 %3D dx? 2.

A: Given 2tanx+4y=4 Taking derivative with respect to x, we get…

Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

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

Q: If y = e3x+18 then dx O 4e3x+18 O 3e3x+18 O 54e3x+18 O 18e3¤+18 O 2e3x+18

A: Given that: y = e3x+18

Q: Paragraph 12) S, dx Sx+7

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Q: 5. Integrate by the use of Tables. State the Rule that you are using. 5x² √36+9x² I√ dx

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Q: 3. If c (5x+ 2) = dx - 3 then the solution for x in terms of c and d is 3+2c (1) Sc -d 2cd (3) 5c-3…

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Q: d² Vx7 b) Evaluate dx2 x=9

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