es of the form rar, s = x+by, wher comes u, = u. e solution of u, -uy = u with u(0, y

Q: sec2 (sec-1 æ) dæ ævx? – 1 2 | Detailed solution, 3

A: Given: ∫32sec2(sec-1x)xx2-1dx

Q: Find the following

A: Given, ∫5z+2dz To solve the above integration.

Q: If a, be Rand a + b 2 0, let P = (a² + b²)° and Q = 32(a° + b³) (ab – a – b), Then P<Qva, b PsQVa, b…

A: Given: a,b∈R .i.e. a and b belongs to set of real number R.a+b≥0P=a2+b23  ,andQ=32a3+b3ab-a-b

Q: A = ëx + 3ểy – 2ẻ, B = 4ẽx – ểy Ĉ = -3ẽz – 5ẻ, Ả x =?

A: vector product

Q: zdz + -dz. Izl=1 Z :Select one True False أخل اختياري

A:

Q: Clear my choice 4x + 11 dx %3D 11 +c 2x2 4x 11 +c 2a6 4 O 4r + О 4 2x2 11 +c 2x2 4x + 11 +c 6x2 4x +

A: we need to integrate the given function ∫4x3+11x3dx

Q: Let x = (m, 1, 0,-2)", m> 0 and ||x||2 = V30, then т — Select one: а. 4 b. 7 C. 6 d. 5

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Q: ?w Əv у Find when u = 0, v=0 if w=x² + ₁ x=6u-2v + 1₁ y=u+4v - 1.

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Q: Simplify Зх + 2у — х + 4у -3х- 2у

A:

Q: Show that the equation dy + 2k possesses solutions of the form Σ 2 c, e cos (a, x+ E,) cos (w,t +…

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Q: 12 +3t-4 and 3t2-3 9.) Suppose that x = 3x 10

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Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: дz дz \f z = f (x, y), find and for the following equation ?х ду z = (x2 + xy3)4

A: Let Using the chain rule, and

Q: Find the value of y in the following y = 3* a) 1. x = -3, y = 2. x = -2, y = 3. x = -1, y = 4. x =…

A:

Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: 2 - ry + y + 1 1 y = +x - 1; y" =

A:

Q: COS Z -dz Pet-2 z3 + 9z %3D 2=2 :Select one True False

A: We have to check whether ∮z=2coszz3+9zdz=πi9 is true or false. First find the poles of fz by equate…

Q: Solve the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

Q: What must be the value of y if u = (1/3, y, -1/2), v = (6, 1/8, 10), and u · v = -5/2. 3 1 4 O 2

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Q: дz дz If z = f(x, y), find a and for the following equation əx ду z = x² + 3xy + y³

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Q: 1. 9. 2

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Q: 5.2 A system is characterized by the differential equation d?y dy + c2 dt2 + сзу — А соs(ot + ф). C1…

A: Since you have posted multiple questions, I’m answering the first question for you. If you want any…

Q: Soly

A: Given  u = ( -1 , 0, 1, 1)   v = ( 2, 3, -1, 0)

Q: Evaluate for r= (- 2,0), s = (- 5, – 1), and t= (-4,1). 2r - (s + t) = (OD (Simplify your answers.)

A: To find:2r-s+tr=-2, 0, s=-5, -1, t=-4, 1

Q: Ut +Uxx =0 , Uxl0,t) =0, t7. Ux (1,f) = 0, t70 O<a<M, tro. UC2, 0)

A: The heat equation with Neumann boundary conditions is as follows. ut=c2uxx, 0&lt;x&lt;L,…

Q: Let a, b and c be real constants. Consider the ODE ay" + by' + cy = 0. hich relationship must be…

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Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

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

Q: Solve for w where u = (1, -1, 1, 0) and v (2, 0, –1, 3). 3w = u - 2v w =

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Q: ind the value of x and y given that X. - 24 3 土 %3D 2 -2x 4 -5

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Q: The function y = Ce* + C2e-Sx is the general solution of a) Oy" – 3y – 10y = 0 b) Oy" + 2y + 10y = 0…

A: We have to find the differential equation whose general solution is y=C1e2x+C2e-5x .