х-2 y = at [-1,1] x²+1

Q: 2) f(x) = xx| - T <x<T Ans. Odd

A: the given function is  f(x)=xx

Q: С 20 3x-1 хр. -X (3+3 (2) j² dx a Лх lo XS хр sự X Сў-12.d:

A:

Q: 3 9 dx dt -1 -3 with x(0) : 4 Give your solution in real form. X1 = X2 = 2. II

A: The objective is to solve the differential equation:

Q: 2r+1 h (x) = 4x-I o h' (x) = (x) 14 4r+2 o h' (x) = x+2 4x-I o h' (x) = x+1 4x-2 O h' (x) = x+4 2r-1

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

A:

Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

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

A:

Q: x2 x 1 Show that y y 1 (y – z) (x – y) (x – z). 2 z 1

A: We have to use the properties of determinants here. We can use the following properties of…

Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: S tan-1 е' 1+4t² 2t dt

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Q: Exact Diffe re ntial Equation: x(3xy – 4y' + 6 kdx + (x³ – 6x°y² –1\dy = 0 |

A:

Q: 3. Solve (x+y-1)dy = (x-y-3)dx

A: Given that(x+y-1)dy=(x-y-3)dxTo find solvesolution (x+y-1)dy=(x-y-3)dxdydx=x-y-3x+y-1Now x=x'+h and…

Q: 2 + x², -2 < x < 0 f(x)dx; f(x) TX + 2, 0<x<4 21 -2

A:

Q: 15. /7.- dt 16. x+ 3 dx P + f - 21 2r - &r

A: Solution:Given      ∫dtt3+t2-2tFormula:∫dxx=log x+C

Q: 2. x y-3xy = 4x + y+1 at (0, - 1)

A:

Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: 27) (x- 1)(x + 1) s0 A) {1} B) [-1, 1] C) (-1, 1) D) (-, -1]U[1, 0)

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: V16-x² .4 Evaluate: [4 16-x² J/x²+y² dz dy dx

A: We will evaluate the following Integral.

Q: x" + 2x' + 8x = 2e-2t - e-t,x(0) = 1, x'(0) = 0

A: Given differential equation, x''+2x'+8x=2e-2t-e-t,x(0)=1,x'(0)=0 The objective is to solve the…

Q: 59. (а) у 3 f(x) + 1 (b) у -- fo) - 1 (e) y = 25) y =f(x) (-1, 2) (0,0) (-2, 0) (2, 0) Ia.-2)

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Q: 4) f(x) = ex – x, -5 s x s 2

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Q: 교고 + z-2 I+ -2, b) f(x) = I+2 -3, I = -2;

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Q: y = x(arctan x)² arctan (x+ (1+x²)arctan x) А. 1+x2 arctan (2x+ (1–x²)arctan x) В. 1-x2 arctan (2x+…

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Q: y" – 1/x = 0; y = x In x – 5x + 7 -

A: This question can be solved using the concept of first and second order derivatives.

Q: find the (a) domain and (b) range

A:

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: 1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x

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

Q: -3 and y = 2 0 Let x = ||x - y||₁ ||x - yl|oo = ||x - y||2₂ = 3. Compute

A: Given : x=-5-32    , y=330

Q: e-X f(x, у) %3D x2 + y2

A:

Q: V1-x2 3. Evaluate S S /1-x²-y² dxdydz V1-x2-y2-z2

A: We will solve the following.

Q: min z = -4x1 + 12 th s.t. 3x, + X2 S s.t. -x, + 2x2 s

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

A: Solution

Q: 1°- 4+ 4r2 -4 dr Co T. (1²-1)(r²+2r+2)

A: Indefinite integration is the backward process of differentiation. Through integration, we find a…

Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

Q: 1) y"- 3y"+3y'- y = ť°e' ; y(0) = 1, y '(0) = 2

A:

Q: 2. x'y-x'y 12 at (-1,2)

A:

Q: 3-4 3. - find A-! L i As

A: Given query is to find the inverse matrix.

Q: 1. x² = y + 4 and the x-axis from x = -1 and x = 3.

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Q: Solve cotx+ 3-0 on the interval x e [0,21]. O a) 6. 11x X3D O b) x-x-5 X = Od4- c) X = 11T 元 d x=…

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Q: 1-x²-y² /1-x2-y2 1-х2 (x² + y²)dz dy dx -/1-x2

A:

Q: 1-y Q2: Evaluate fo y²(x² + y²)dx dy -1

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Q: 3 9-r22 1 dy dz dr 9-r2 0_æ²_22 (x² + y² + z²)1/2

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Q: y x = y - 2 y = 1 x = e -3 -1 1 2 4 | y = -1 3. 3.

A:

Q: (Sx-8)3 12. g(x) = (*+3) 13. g(x) =. _(x²-s}' 14. y= 2x 15. J09=

A: Dear student,                    According to our guidelines we can answer only first question or…

Q: solve for x and y: xy-x =0

A:

Q: max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

A: We will solve this question from the graphical method . We will see that if the two inequality has…

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

A:

Q: 31-x 2. Evaluate [(x+ y)dydx . 1 0

A: To solve this question first we integrate w.rt dy then put limits and after this integrate with dx…

Q: 2s2 + s+3 F(s) = %3D (s- 1) (s+ 2)2

A: