2x3 + 11a? + x +9 x + 2 Given x2 +1 (2a3+ 11a2 + x+ 9 dx Evaluate (Don't forget to include the %3D a4 + a2 constant of antidifferentiation c)

Q: 14. 3(x³+ 4x²) + 2x(x – 7) 15. 4(3d?+5d) - d(d² – 7d + 12) 16. 3(2t2- 4t- 15)+ 6t(5t +2)

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Q: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: (x+3)3 y3D (x² – 9)

A: To find The domain of the given function

Q: . Эn Эт (п + т-4лп-т%3D1) . Эп Эт (п + т %3D 4лп-т 3D2) . Vn Vm 3p (p= (m + n)/2)

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Q: Not sure how to find the domain and range.

A: Given function are as below

Q: (2x+3) 8. S- (x2 +x+2)2

A: Let's find.

Q: 3) A)-V2-a-2 3a.) (r)D 3b.) N(-2)-2 3c.) fxth)-f(x) 12-x+h) =D72-(x) (Jz-Cth)+

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Q: Higher Order L.D.E (D3+D2-5D+3)2y=0

A: Higher Order L.D.E (D3+D2-5D+3)2y=0

Q: (c) x (x1, x2, x3) = 6x1x2x3 + +3+x}-I (d) ¤(x1, x2) = e-rl %3D 2x3+2x3+2x}+5 %3D X2+3

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Q: 2x2 ノ ーイ<xLO X 16 X pected vabe of the flx) = り2Xと2 what is e vari able

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Q: 4x + 5 S(x) = 9- 3x A. x = 0 B. x = 3

A: To determine whether the given function is continuous and differentiable at the given points or not.

Q: 6x2 -4x 1. Find the first-order derives: I. y II. y = (2x3 + 7x – 14)5 %3D 4x2-8x+5

A: To find the first-order derivative of the given function using the quotient rule and chain rule…

Q: n: y" – 9y = 0; e3x; e-3x

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Q: Coefficient Linear in Two Variables 2. (x-3y-7)kdx – (2x – 4y-8)dy=0

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Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

Q: 15x²x³43x - 19 The integral (x + 1)²(x² - 6x + 13) Ax + B What is the value of dx ? ax²+bx+c 31 -…

A: Given integral ∫15x2-x3-43x-19(x+1)2(x2-6x+13)

Q: x- 3 +C 4 dx3D - 17+6x – x² +3arcsin = - V7+6x – x²

A: Show that ∫x7+6x-x2dx=-7+6x-x2+3arcsinx-34+C

Q: 9x2 - x3 + 4x 8x + 20 dx. Evaluate Since x + 4x = x(x² + 4) can't be factore

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Q: x2 - 8 R2.1 J x2 + 5x + 6 Answer with text and/or attachments

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Q: x3+6x-2 6) S- x++6x2

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Q: [(3x2 – 2x + 3) dx - (A) x - x² + C (B) 3x - x2 + 3x + C (C) x - x + 3x + C (D) (3 - 2x + 3)? + C…

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Q: √(√x³ - 2 1/2 + √²) d dax In x++²x+ }\x² +C √√(x³)x=√x + √√2x+C

A: SOLUTION-

Q: 4. Find f 6x5-25x4 +8x3+43x²-8x-12 (3x4-11x3 +9x²-11x+6) (9x²+12x+16) Ax+B C(3x+2)+D + x²+1 9x²…

A: Solution using partial fraction method

Q: 2(k, e) = (-2)* f(k – () + 2/9 + /3l. %3D |

A: The given equation is,                       z(k,l)+2z(k-1,l-1)=l ....................(i) let k-l=m

Q: 4. r(x) = 7 + (2x + 1)³ find r(x) %3D

A: Given that r(x)=7+2x+13         ...(1)

Q: alx) = 3х+4 b(x) =2x-5 с(х)=4x+1 da) = x-7 e(x) =x2-6x+41 f(x) = X2+3x-10

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Q: - 25. 16: Substitution Method ( 2a3 + 3z dx x4 + 2x2

A: To find the integration of followingI =∫2x3+3xx4+2x2dx

Q: 3x +3x-5x² +x-1 dx x² +x -2 Q4 Evaluate

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Q: 3. A = {x € Z +|x 3}|

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Q: аx2а (х2а+1)* dх ax²a

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Q: XI. Given: A(x) = 9(x – 2)² + (4 – 4x)(x – 1) %3D 1) a) Expand and reduce A(x). b) Solve A(x) = 32.

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Q: 2x³-4x-8 2. S; dx (x²-x)(x²+4)

A: Topic:- integration

Q: lim 2 2 2a2+ 3at 11 a- 5 a²+ 3a -7 In 2 at 10

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Q: Evaluate f 3x²e3" dx Select one: ㅇ (9z2 - 6z + 2)등 + C O (9x² + 6x + 2) + C e3x + C 9. O e3* + Ç

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Q: Fiind the general solution.  y3dx - x3dy = 0

A: to find the general solution of the given differential equation , we will use seperation of variable…

Q: (D^3 - D^2 +4D -4)y=8-e^x + 4cos(2x)

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Q: xp? +(y-1-x)p-x(y-1)=0. [Ans. (2y -x +c) (xy – x+c)=0]

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

Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A: We can solve as follows

Q: 4x - 18 = 22 3(x-4) = -18 4x-1 = 2x+11 A = b* h for h V = 3k+ t for t %3D

A: We need to solve for x h and t from given equations

Q: 2s – 10 Find L s2 – 6s +11 -

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: 4x A. dx - 3 4 4x A=²³cof=1¹³) + C__ _B. — co(=^^) + C +C 4 4x c. ²2 cof=14) + C 4x D.= co(-1) +

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Q: 3x2+x-1 d) 1 =D0 + 3x2+x-3 %3D 1 e) 22x – 2*+2 - 32 = 0

A: Given that  The following functions

Q: x2 - 4x x2-4x+3' 44. f(x) = [a, b) = [0, 4] %3D

A: In the question it is asked to verify Rolle's theorem for the function given in question 44. Also it…

Q: x²-12px%=D6p(x-22 %3D 2.2.1 5a2 -2'5 b2 -5(a²-5b²) ー4 (at2) (x +2) %3D 2.2.2

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Q: 10x2 - 9x + 20 x² + 4x EXAMPLE 4 Evaluate dx. SOLUTION Since x + 4x = x(x² + 4) can't be factored…

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Q: 2x-1 = 43x - 5 x 32x-1 find the value of x. Siven that

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Q: 2x+3 y Use Grame's Rule to solve 4-7y = x %3D

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Q: d. Using any method i. 16x² – 8x = 0 ii. 16x2 – 49 = 0 iii. 10 2-x = x+5

A: Simply use the sime factor of all  quadratic equation then solve and get the result

Q: 1 e*(6x-15x² +9x)=x'e* D -D+3 O iks

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

Q: Form PDE: 2z = x2/a2 + y2/b2.

A: In the given question we have to form the PDE from the function…