2 Cafe Goft 3 1 lCon BC H m21 (3x +30)°, m/2 = (5x - 10)°, andx 20 and the theorems you have learned to show that 24. Use the information | m. т. 2 m

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Q: 10- Solve the problem: Utt-4uxx = xt, 00 u(x,0) = x, 4(x,0) = 0, u(0, t) = 0, Ux(1,t) = 1+t, t20 %3D

A: Given, utt-4uxx=xt;   0<x<1, t>0 ⋯⋯⋯⋯1ux,0=x,   utx,0=0,   0≤x≤1,⋯⋯2u0,t=0,   ux1,t=1+t,…

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A: Hence option (b) is correct.

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Q: 1 If z = 2 V3 -i, then find ()*

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Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

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Q: Suppose X,~ Uniform(0, 2) and X, ~ Uniform(0, X,). Find E[2X,+X,].

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Q: EXAMPLE 2: Given 4XYZ with x 9.4, y = 6.5 and mLZ= 131°. Find the side z. 6.5 1310 9.4 21

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Q: find x, y from [2 x + y 2 x - ] 3 3 3 O x=-9/2, y=-3/2 O x=3/5, y=2/3 none Q x=9/2,y=-3/2

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

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A: topic - application of derivatives

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Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

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Q: Compute Projsw given by |2 -1 – 2 and S is defined by 8 [2 – 12]+t[-1 – 13], s,t e R. x = s ||

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Q: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

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A: We have to find determinant

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Q: 16 3. Show that for x2 + 2xy - 3y² = 4, y" (x-3y)3

A: We will find y" as following.