x² +1 If y = then y' will be 2х — Зе* 2x(2x + 3e*) - (x² + 1)(2 – 3e*) A. (2x 3e*)? 3 (2х — Зе*) — 2 (х + 1) В. (2x 3e*)- (4x - 6xe*) - (x² + 1)(2 – 3e*) (2x - 3e*) (4x + 6xe*) - (x- + 1)(2 + 3e*) D. (2x 3e*) C.

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

A:

Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: tion 2 he equation fx) =3ex = x2 = 0 has a solution in the interval 2<x<0. With xo= -2 and x, =0,…

A:

Q: 2x 2x 2. y = y: x' +1 3. у 3 V(x-2)(x+1) (x-2)(x+1) 2.x - y = Vx* +4 5. y= Vx -4 6. y= V2-x · y =…

A: The questions above.

Q: 2. -1z"cosdz zl=1

A:

Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

A:

Q: - 4.9t tlut t600=0 t--14 士 + 4ベ49せo0 - 2<4:4 tz 12.59 tキーve

A: solution of quadratic equation is given by :when ax2+bx+c = 0x = -b±b2-4ac2a

Q: 22) About the x-axis y = 5 x =V25 - y2 X =' + 3 4 5 х 2. 3. 2.

A:

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

A:

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: x+ y+ 2z=9 2x +4y - 3z = 1 3x +6y-5z 0 [1 1 29 2 4-3 1 3 6 -5 0 to the cecond to obtain

A:

Q: How Reducible Second-Order Equation is form?

A: Given:  How Reducible second order equation is form.

Q: 1-x2 1+x 8. y = 9. V(x) = 5 + Vx 10. QUY) = Q0) = + %3D

A: To find the derivative of the given functions

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

A: The given problem is to find the area of surface bounded between the given curves. Given curves…

Q: Differenitate: y = esin (z²+2z)

A:

Q: (1-x)y"-xy'+y=0  y(0)=-2 , y'(0)=6

A:

Q: z² - xy = 2 at the point (2, 1)= %3D

A: We have to find the slope of the line tangent  to the given curve.

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: 4. y = vx +2 %3D x,for - 2 < x< 2 2, for x22 (x-1,for x< -2 5. y=

A: To sketch the graph of the given function and determine the domain and range.

Q: Xxy-Z = Gauss eleminatin %3D 2X -y42=5 -x +2y+23 or

A: We have to solve given problem:

Q: max z = 3x, + 2x2 1 1 X1 + 40 X2 < 1 60 s.t. 1 X1 + 50 1 X2 < 1 50 X1, X2 20

A: dual of the given lppmin z=y1+y2s.t.     140y1+150y2≥3      160y1+150y2≥2          y1,y2≥0

Q: Yuz - xUy = 0, %3D

A: Find out for each of the given initial conditions whether the problem is solvable or not. Then find…

Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

A:

Q: Lt² V4-t² dt V(4-x)/(2\x) x(4-x)

A:

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+…

A:

Q: How would you interpret the coefficient of β2 in each model? Ln(Y) = β0 + β1 Ln(X1) + β2 Ln(X2) +…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

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: TRUE OR FALSE I: 2x+3y – 4z= 2 and x+ 2y+ 2z = 3 perpendicular to each other

A: We'll answer the first question since the exact one wasn't specified.  Please submit a new question…

Q: -2 27. The first derivative of y = is (4x+1)3 а. -24 b. 24 C. -6 d. (4x + 1)* (4x + 1)* (4x + 1)*…

A:

Q: Find the first and second derivatives a) y=((4x^3)/3) -x +2e^x b)y=6x^2-10x-5x^-2

A:

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

A:

Q: 2n bị 2n 2n paz x a, , b2 = a, xa x a, , bz = a, x -аз ха,,

A:

Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' &amp; 'y' x=2y2-4 Now solve…

Q: suonenba 5x mons: (1) +- = 3x + 3 (ii) x + 7x + 12 = 0 In (x +4)- In (x*) = 4 = 15 (iii) %3D (iv)…

A: Simplification

Q: S sec 2ydy

A: Topic:- integration

Q: [2r] = [z] + %3D

A:

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

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

A: Given query is to find the inverse matrix.

Q: 6. Differentiate: y x2 + 3x – 1 x²+1 -(x²+1) В. А. x²+3x-1 (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)2 D.…

A:

Q: ų (H)= - 2y, (t) + 24;(4)= Y,(4) - 2y, (t) +2t t 9,lFS +2

A:

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A:

Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

A:

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

A:

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: 7. x + 3y + 522 = 173.61, x - 27y + 2z = 71.31, 41x - 2y + 3z = 65.46. Start with x = 1, y = - 1, z…

A:

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0