Which of the following could be a slope field for the differential equation = y² - x² ? A B -3 1-2/1 111- | || \ \ -/ J!!!\\- ! ! ! ! ! \ / | | | \ !!!! 11!! 117 124 1 -31-21-1- | | || | \\ - ||||| \\- | || | \\ - 17 ! ! ! \ \ - / / !!\-// 12113 1111 | || \ \ - 1. SITTEL !!! 123 \ ! ! ! ! 1 1 1 1 1 ||||\\ XXXFL -/L

Q: u²(x) = -x + √(x-1)' u(t)dt, u (0) = 0,u (0) = 1.

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Q: (5) 2x+1|s3

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Q: f(x + h) – f(x) f'(x) = lim h-0 %3D h bsnd Diffeentinble A) 7xh2 B) 9x2h C) 5x2 D) 9x2 5) Given (x")…

A: Given that: 4. f(x+h)-f(x)=9x2h+7xh2+5h35. (xα)'=αxα-1

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Q: Given f(x) = 1 –(5+ 10x) + (5 + 10x)² – 27 (5 + 10x)³ then f'(x) =, %3D - (5 + 10z) – ( 5 +…

A: f(x)=1-32(5+10x)+94(5+10x)2-278(5+10x)3 Then f'(x)=0-(32×10)+(94×2×5+10x×10)-(278×3×(5+10x)2×10)…

Q: (a) (b) With usual notations, prove that: [t' t" +"] = [r" "!! p²"] = k³ [kt' - k't] = k² d…

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Q: u²(x) = -x + = = = √" (x −1 )* u(t)dt, u (0) = 0,u'(0) = 1.

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Q: 3y'''+ 5y'' - y' + 7 y = 0, y(0) = 1, y'(0) = 4, y''(0) = 5.8

A: The main objective is to solve the given differential equation.   In the problem  the roots of…

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Q: (1) VL1, L2 (L1 L2 iff L₁* = L₂"). True

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Q: 3 5 If f(x) = 2 – 6(x - 1) +(x – 1)2 – ¬(x – 1)3 + 2! 3! 1 -(x – 1)“, what are f"(1) and f'(1)? 4!

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Q: 5. f() = {x? - 4 U x* -3 Evaluate f(4), f(0), f(-3) and f(-2/3) }" -2 if x = -3'

A: The objective is to evaluate f(4), f(0), f(-3) and f(-2/3).

Q: e (1? + Зх — 4) dx. 4) d.r.

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Q: u²(x) = -x + ² = f (x −1 ) 'u (1)dt, u (0) = 0,.u '(0) = 1.

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Q: (i) 49s" + s = 0, s(0) = 24, s' (0) = 0. (ii) s" +9s = 0, s(0) = 6, s' (0) = 0. (iii) s" + 49s = 0,…

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Q: X= 2 etsin(2t) etcos(2t)

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Q: -5 -4 -3 -2 -1 744 -2 2 3 4 4 5 a

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Q: Show that -E{t, log(sigma(w*x)) + (1 – t;) log(1 – sigma(w"x;))} = E, log(1+ e-yw* x %3D Where…

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Q: 2) f(n)=10 - 2" at n= 5

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Q: 09. C-1 28-1 $²-8-6 (e³ (t-1) + e-2(t-1)) u₁ (t) C. (e-3(t-1) + e²(t-1)) u, (t) <-8 e 0} (1) A. (t)…

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