6-6r dx x-3x -2 In|x3 – 3x| + C In|x3 - 3x| + C -1 +C 3(x³ – 3x)

Q: ng) 1 k(x-a) + 2x -Z =0 k k (y-a) + 2y -2 -0 Ger %3D k(z-a) )-x-y +2z= 0 X: ak (k+3) k? +Ak +z of

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Q: Integrate O O-√√25-x² + C O X 25 – x² 25 - x² + C 25 - x² 2 O √25x² 2 - + C + C dx.

A: Consider the integral  ∫x25-x2dx   Formula  ∫xndx =xn+1n+1+c

Q: lim 4(x + Ax)3/2 - 4x3/2 Ax Compute Ax-0 O A. 4VAx B. 6V O C. O OD. 125/2 E. 2V3

A: To compute lim∆x → 0 4(x + ∆x)32 - 4x32∆x

Q: 1. A factor of x– 6x² + 5x + 12 is a+)Ct-3)Cae B. x - 2 C. x- 3 A. x - 1 D. x + 4 2. x+ 2x - x – 3 =…

A: We have to find factors of the polynomial and also find out the root is the equation

Q: 9. h(x) = 9x-3x'-12x – 10x-7 %3D a. h(x) → -∞ as x → -o and h(x) → -00 as b. h(x) → ∞ as x→ -00 and…

A: As h(x) is polynomial, it is always continuous . h(x)=9x4-3x3-12 x2-10x-7 h(x)=x4 (9-3x-…

Q: X1[n]= {-1, 2,0,1} X2[n]={3,1,0, -1} Find convolution using: • Graphical method

A: given X1n=-1,2,0,1X2n=3,1,0,-1 to find the convolution 1) using graphical method yn=x1n*x2n where…

Q: X-8 Q18: Select the incorrect step while evaluating S dx. x2-7x+10 x-8 8 I: Let I = dx = S dx - S dx…

A: Given problem:-

Q: Evaluating a Function In Exercises 31–34, completethe table.

A: Function: 31. f(x)=-x2+5f(-2)=-(-2)2+5 f(-2)=1f(-1)=-(-1)2+5…

Q: (X1+X2) (d) and X3 2 (e) X2 and X2 X1 – x3 -

A: We want to find they are independent or dependent.

Q: dy -is If y = In(x-5), then dx 4x x-5 4. 3x 4 x-5 4x 3. 4x +5

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Q: Journal: XFactor: n+4n- 12

A: the factors are (n-2) and (n+6)

Q: x² +2x +3 dx x' +3x² + 9x A In Ix³ + 3x² + 9xl + C ! In Ix3 + 3x2 + 9xl + C 4 3. D 2 In I x3 + 3x² +…

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Q: 5. Evaluate the integral. x+7 (x-6)(r-2)*a

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Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: (x-4x² +7x–9 - dx x-3 A x3 * - 4x + 3 In Ix-3 I + C C x3 * + 4x + 3 In Ix-31 + C B x3 x? D x3 x? +…

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Q: i) (x-1)(x-2)(x-3). k) (x-1)³. j) (y-6) (y-4) (y + 1). 1) (x+2)³.

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Q: EXAMPLE 3 Find dx. 3 - 3x SOLUTION Let u = 3 - 3x2. Then du = dx, so x dx = du and dx 3 - 3x2 u-1/2…

A: Given: ∫x3-3x2dx

Q: -2x dx 7. Evaluate (1–x)' A. x' + 6x - In(1-x)" +, -(1-x)* +C C. x' +6x + In(1-x)' +, (1-x) +c 1-X…

A: See the details solution in below

Q: 4. x' = 3x – y, y' = 5x – 3y; x (0) = 1, y(0) = -1 %3D

A: The given system of the equation is: x'=3x-y,  y'=5x-3y with initial conditions x(0)=1 and y(0)=-1.…

Q: x-4x+7x-9 r x-3 A. C 4x +3 In Ix-31+ C 3 + 4x + 3 In Ix-31+ x3 x2 + 4x + 3 In Ix-3 I + C 2. *+-4r+3…

A: Topic = Integration Correct option = B

Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

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Q: x-(1+iy) Q11: Express- in terms of z and z. (x-1)2+y2

A: Let z=x+iy and z bar =x-iy

Q: %3D x4- x3 A Select one: а. X-1 In 4 + C 2 x2 on b. X-1 In 3 2 + C 2 x2 | - C. 2 X-1 In 2. d. + C 2…

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Q: x+3 Evaluate: S dx 5-4x-x A. -V5 – 4x – x² + arcsin+ C x+2 B. -V5 – 4x – x² +arcsec+C 3 C. -V5 - 4x…

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Q: lim/ 63-64 t*-7t+12 い+ E-4 6²- 34 -4 j + 3(t-y) In(t-4)£ ニ

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Q: a. b. dx x+2x³ In S is Inx In 2x² + 1| + C X C √ √2x² + 1 + ₁ C. d. In|2x² + 1 1 + C In x + In|2x² +…

A: Given problem:-

Q: 15. F(p) 3D (5 р — 2)(3р — 1) 16. g(x) = (/x+ 5x – 2)(Jx – 3/x) %3D 17. y = 7. 18. y = (x - 1)(x –…

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Q: X - X (x -x* Y (r-F)} (x-X{r-F) Y-F 2 4 3 6. 6. Compute: X = Y = E(X-XXY-Y)- N-1 B A = Y - B*X = 2.…

A: The table is given as follows x (x-xbar) (x-xbar)^2 y (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 0…

Q: rx²+x+1 -dx x-2 A -+ 3x + 7ln (x– 2) + C +x- 2ln (x- 2) +C -x- In (x-2) + C +3r -3 In (x – 2) + C

A: Let's find.

Q: x-4 Evaluate the integral x²-5x+6 = (x-2)(x-3) х2-5х+6

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Q: the differential equati x²y' – 2y = Inx² is cje2* + c2e¯* – x + 5 O c1x² + c2x=1 – In x + ; O 2 +…

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Q: Evaluate ( ax"+5ax*+12ax*+llax²+3ax+10a x4+5z³+14x²+17x+7 dx * + 24. + In |a2 + 3x + 7| - arctan In…

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Q: aпалyses). 3" a. an %3D 2n+2

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

Q: 5х - 1 хр- x2-3x-40 a) O 3ln)x - 8| + 2ln/x + 5| + C b)O 4ln|x - 8- 21n/x+5 C c) 3In)x+8 + 2ln/x -…

A: Consider the given function as∫5x-1x2-3x-40dx

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: 10. y = -x²-10x-28 Write in vertex form. AY Eqtn_ Оpens Vertex Axis of symmetry_ x-int y-int

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Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢…

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Q: 16 x5+13x3+1 f(x) = V64x10+10x8+2x4 as x→ o and x → -∞. State the Horizontal Asyn

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Q: 4x' +2x' +8 Evaluate (x² +4) A. In(x +4) + arctan C. In(x 4)-arctan 2 x'+4 B. In(x' +4)-arctan+ D.…

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Q: x2 +6x+9 and 3x 9-x2 03. What is the quotient of- ? 3x (x-3) В. (x+3) x-3 А. 3-х (x+3) 3-х D. x+3 E.…

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Q: 32 1 xy+- |dydx Evaluate: 2 1

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Q: 2x+2 A + xp- X+6 if x² +10x+24 xp- dx then B= X+4 %3D

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Q: x2+x-2 dx If S (x²–1)(2x-x²) dx can be resolved into AS+ B ƒ f(x)dx + D S g(x)dx , then Lif(x)dx –…

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Q: /4(x+ Ax)3+5- V4x3+5 TFind lim Ax-0 Ax 6x2 (A)V4x3 + 5 (B) V4x3+5 (C) 0 (D) 1 (E) undefined 2V4x3+5

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Q: n Problem fandf! 2 5(x) = 3+ x 2x 58 f(x) = - x- 1 aa gon 3x + 4 ino bn 2x - 3 01 o01 61. (x) %3D

A: f(x)=23+xto find the inverse of f(x)=23+xput y in place of f(x)y=23+xthen replace the position of x…

Q: Siven X(z) = 2 + 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

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Q: -8 - 7 -7 The sum /, slerde - / f(x)dx f(x)da + f(x)dx 9. - 8 9. can be expressed as a single…

A: Topic- Integration

Q: Маx Z%3D 3x1 +5х2+ 4xз 2x1 + 3x2 + 0хз S 8 Зх, + 2х, + 4хз3s 15 Ох11 + 2х2 + 5х3 S 10 X, X2.х3 all 2…

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Q: 1-x2 1-x2-y2 dxdydz Evaluate * V1-x²-y²-z²

A: