3) sinh(u7) = Sinhm.coshy coshusinky .coshy 7coshi we hnocw that Sinhi coshn= Boshy - e4ey 2 sinh(uty) = u+y -cu+y) 2 Take RHS: Sinhu coshy Fcoshu Sinhy 2. メty te -e uty -u+y Take tve value 4. tex-y + elty eny ēcu+y) 2. : Sinc Tahe -ve valu e

Q: 2. "-2y'-3y=5cos2x-9

A: The given differential equation is

Q: 35 Find the extrem poinbs of Pcxy)=xy Subject to X+y=20.

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Q: If W= x³y?z4 + 2xy +z Then W,(-1,1,2)= -31 ylgn C ihi C

A: True

Q: Verify that ) Determine from y Graph the solition of the IVP. is a solution of the ODE. . the…

A:

Q: 2. Suppose ALXry) = 2xy-ix"y. Find D.A

A: We have to find out ∇.A

Q: 2 Q) t'y"+6t'y" + 1lty'+ 5y =0

A:

Q: Assume that n(U)= 85, n(A’ intersect B’)= 19, n(A’ intersect B)= 22, and n(A intersect B’)= 23. Find…

A: Given that n(U)=85, n(A'∩B')=19,  n(A'∩B)=22,  and n(A∩B')=23. We need to find, n(A∩B) and…

Q: Q3) If f(x, y") = x + y? + Vãy find: af(x²y) and Ty) ду afxy)

A:

Q: 12. What is the radius and center for (x – 2)2 + y? 16? O A. r = 16; center is (2,0) O B. r = 4;…

A: Given equation is x-22+y2=16find radius and center

Q: 3. zy if y + x² – 3xz = 222

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Q: 2) y' – 10y + 25y 24te y(0) = –2, -10; - = (0)fi

A:

Q: Consider the following bivariate data. Point ABCD EFG HIJ 0. 1 34 y 5. 8. 4 3 4. 1 1 (a) Construct a…

A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: 2xy + In(8 + z²), x 7v2 ', y = 9u + 3v, z = cos(4u). Find dwlðv when u = 5, v = 2. Suppose w = ,X =…

A: We have, w=2xy+ln(8+z2) x=7v2u,y=9u+3v,z=cos(4u). Point (u, v)=(5, 2)   As we can see that x, y and…

Q: 3) ryy'-r. +1 = ry +y +r+1. Ans.: y +1 x(Ce-1).

A:

Q: y dy J – 1) (y + 4) (2y

A:

Q: Simplify the following by using De morgan's theorem: (with solution)  1. W = BC +B'C 2. X = A'B +…

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

Q: 8. Let a2 + xy³ + 2x = 11. Find y"(x) at the point (1, 2). %3D

A:

Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: X y Z If (b-c) (a-c) (a-b)' = A. x+z=y B.x=y+z C. x+y=z D. x-y=z = Which of the following is…

A:

Q: ) Sind dy if : Sincu, u= x

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Ay l Ory"- 8y/ (ry + y) O zyy"=/ (ry + 7y) O ry" - / (8zyy) O zy" =/ (zy - 8y)

A: We will find out the required value.

Q: It is the case that (x4 – y4)", where A=7 and n > 0 is a parameter, simplifies to x" – y". Please,…

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Q: 5. y"+9у-0

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Q: Ja. Is fex=² uniformly continous on IR? bj Is fix)=x² uniformly continous on [-1,1]? Justify Justify…

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Q: iv) if z = (xy)¯1 then zx – Zy = %3D b.x + y c. z?(x – y) d.z²(x + y) a. x – y

A:

Q: true or false ?

A: Given that,yiv+1ty'=g(t)The wronskian of the differential equation is calculated as shown below.

Q: @ f=ytanh(x)

A: Please upload questions with multiple subparts separately.

Q: 1 3 For V Vy evaluate y' when y = 4. A) 4 B) -4 C) -2 D) 2

A:

Q: Find aw in terms u and v if du w= In(x2+y2 +z²), x = ue" sin u, y = ue' cos u, z = ue"; (u, v) =…

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Q: 16. QT is a midsegment. Find x and y. PT = x- 10x, TS = 24, QR = 6-y, PQ = 2y+ 3 R

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Q: 1 b)y" + y = ; 1+sinx

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Q: uppose that x + y = 2. What is y" at the point (1, 1)?

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Q: dx and u = 3x-2 1. y 2+1 + 3

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Q: HW) If rCH)=6 sinzt ċ+ Gcas zt j + 5tk find F,Ñ, V, a and speed at t-2

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Q: Q2. If w = f(u, v) , u = cosx and v = sinx, show that: (30 Marks) d?w = v? fuu + u² fvv – 2uvfuv –…

A: