(xªy 2) (z³y4) when a = -2 and y = -3

Q: 21. Кх, у) 2х -у ys 4x + 6 5 * 4y s 7 2r + ys7 бу X-6y z 10

A: Step-1 f(x,y) = 2x-y            y ≤ 4x+6 ⇒ 4x-y ≥-6            x+4y ≤ 7           2x+y ≤ 7…

Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

A:

Q: then fxy Q4: If f (x, y,z) = x²y³ – y²z3 %3D -

A: we have to find partial derivative

Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

A:

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: 1 If y = V1-x then y' = 2/1-x

A:

Q: Solve the linear system

A: 2x+3y=4x+2y=3over Z7

Q: Find a particular solution to y" + 4y' + 3y = -16te²".

A:

Q: b) - 2y dy

A: Integrate the following.      ∫y4-2y-4y-2dy

Q: If it is known that L {y'' (t)} = -15s+24 with y(0) = -3 and y'(0) = 6, then it can be ensured that:

A: The given problem is to find the Laplace of y(t) from given info, given Laplace of y"(t) =-15s+24…

Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: a) Y= ezx-e-zx €²x+e-2x

A: Given,   y=e2x-e-2xe2x+e-2x

Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

A:

Q: - 5x + 4y – 3z = - 1 - 10x – 4y – 4z = 46 20x – 4y – z = - 44 (x, y, z) =

A:

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: The given equation is z=y3-24-2y3 The objective is to find dzdy. The product rule for derivates is…

Q: Find Vz or Vw. 39. w = In /x² + y² + z²

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Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: 10--6A Oa) x- -6 V b) x = 6 c)x- 10 V d) x- -2 Oe) x- -8

A:

Q: If x < 0 and y > 0, determine the sign of the realnumber. xy2

A: Given that, x < 0 that is x is negative. y > 0 that is y is positive.

Q: 7. dz | zV 36z2 - 25

A:

Q: X, t Xx t 2 Xz531 2X, + X> t Xz Z22 Naximzed By: 233y,tax2tdxg

A:

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: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

A:

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: 4' for T- T2• T, and T- T1• T2. x - 5y, 4x + 2y) y, 0)

A:

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

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Q: Evaluate -5у-5 dy 31. Jv+2y-4

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Q: (2) Find dt2 if y = x2 + 3x -7 and x 2t + 1 | 2

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

Q: z = xy³ – a²y, x = t² + 1, y = t2 – 1

A:

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

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Q: What is the general solution of xy^2dx+x^2ydy=0

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Q: a) z=-x² + y² c) z² = x² + 2y² e) x² + y²-z² = 1 b) z=-x²-2y² d) -x² - y² + z² = 1

A: match the following quadratic surfaces with the following equations (a) z=-x2+y2

Q: 3. y = x³ – 3(x² + w²) 4. y = x7 + V7x - 1 TT + 1

A: Differentiation wrt x

Q: What is the counterexample of x/x=1

A: Follow the steps.

Q: px + qy=z-a √x² + y² + z²

A:

Q: Qs) y" + 3y' + 2y = e* – 3

A: See the details solution in below

Q: 32. In y = 2y² - x; (2, 1)

A:

Q: b) f(x, y)=-2x². + 8x − 3y² + 24y + 7

A:

Q: 14I hox)= x)-0, whese fCn=2 and fとい=8,

A:

Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: 2x³y' = y(y² + 3x²) using Bernoulli.

A:

Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

A:

Q: What is the discriminant of the PDE?    4d2/dy2=-3du/dx-4u

A: the discriminant of the PDE is :

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

A:

Q: 11. Find y'if y = 2x + Vx* – 9x+3

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Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2

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Q: /25-22-y2 zVx² + y? + z² dz dy dr

A:

Q: 18.t2y′′−4ty′+6y=0,t>0;y1(t)=t2

A: