10. Seta x² dx A 2 е** + C с 1 + С B 3 e** + C D 1 + C 3.

Q: Question 5 A | (x – 1) VE dx = AVE - +C B) zi + ei +C c)능z2 - z+C D E) 글교2+2x-a +C

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Q: 5 3X (e ³x + 4√x) dx

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Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: Question 1 Simplify +V225al6b36. Order the variables alphabetically.

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Q: * jax vnen 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1

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Q: e)S 2х-4 dx х3+5х

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Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

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Q: (y + Jx² + y² )dx – x dy = 0 ; when x = v3,y = 1 7.

A: The given problem is to solve the linear differential equation with given initial conditions. We…

Q: Se-Xdx а. - e-X + C b. (-x+1) e-x+1 + C e-X+1 + C In e C. d. None of the above

A: we know that ∫eaxdx =eaxa+C

Q: Evaluate. Check by differentiating. Sxe-* dx A - (x - 1)e-X + C B В -(x + 1)e-X + C (c) -xex + e¯X +…

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Q: A. y = x² + 2 Е. у 3 (х- 2)2 I. y= 2x² B. y = -x² + 2 F. y = - (x + 2)² J. y = -2x² C. y = |x| + 2…

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

Q: dx- 3 (9 — бх — Зх2)2 -

A: Consider the given integral. I=∫x9-6x-3x232dx First, make the complete square of the denominator.…

Q: Find the general solution of a = y+2x. O a. y = -z(Inz +c) O b.y = a (2ina +e) O c.y = a(2ina +c) O…

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Q: (3x² – 2xy + 3y²)dx = 4xy dy

A: 6. The given is  3x2-2xy+3y2dx=4xydy Thus, dydx=3x2-2xy+3y24xy.....(1) which is a homogeneous…

Q: If J x° e" dx = e (A) + c, where c is a constant. Then A = Select one: a. x3 – 3x2 + 6x + 6 b. x3…

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Q: y (0, 2) (-5,0) a. - 5x + 2y = 10 b. 5x-2y 10 C. -2x+ 5y= 10 d. 2x-5y = 10 %3D

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Q: 1. + (х+2)(х-2) x-2 2.

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Q: Evaluate. (Be sure to check by differentiating!) |(x³ + 1)*x² dx 4.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Га Ь с [a-b b 3c + 2b a B= d-e e 3f +2e. If det A=5, then det B is equal to Lx-у у 32+2y A = def [x…

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Q: 5. Find the general solution of (x +y +1) dx +(x - 3y - 7) dy = 0 x2 - A. x2 + 3y? + 2xy + 2x - 14y…

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Q: Find (e-*) dzdy A. 4ye-(*²+y²) B. 4xe-(2²+y²) C. 4xye-(x²+y²) D. -4xye-(a²+y²) OC OA OB None of the…

A: Partially differentiate the function y= e-(x2+y2)  w.r.t. x and y .

Q: Evaluate 5 /25-x2 6 dzdydx /x² + y² Select one: а. 12T b. Non of them С. 14 T d. 15 T е. 16T

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: x/2 – x) · (e*² + x) dx = et + C 3

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Q: 6x² + 7x – 6 dx (x² – 4)(x +2) 38. Evaluate

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Q: x4+8x2+8 dx x3-4x е. f. (*+19x+10 dx 2x4+5x3

A: e)   Given data:   The given integral is ∫x4+8x2+8x3-4xdx.   The given expression can be written as,…

Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: S öz (vā - z°) dz =

A: indefinite integral

Q: 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D 0

A: As per bartleby guidelines we only give first question answers.

Q: Resolve yDx-2(x + y)Dy = 0 O x² + 2y = cy² ○ x + 2 = cy² O x + 2y = cy² Ox+2y=c

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Q: + 4л a) y = 3 x**

A: To differentiate the following:

Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

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Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

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Q: The solution of the ODE: y' +y = x² +2 y=j ex*/5 (x² + 2)dx + C None is:- y.e/5-fe*/5 (x² + 2)dx +C…

A: Topic = Differential equation

Q: 2/9 23. Evaluate dx. 11/9 11/9 81 x C) 119 A) +C 6- + C 11/9 9. B) 11 6- + C D) -9x+ C 18

A: This question is based on the substitution method.