My question is why is norm defined like this please explain 2 | U | Le() = inf 1B>0:√ [(x) [P(x) do <1} U(X) (2-2) P

Q: 2. Determine whether the given differential equation is Exact or not. If it's exact, solve it…

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Q: QA why cis Banach space? let c= {UE C([0,+A)): SUPTE [0, +∞) |u(t) | <+0}

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Q: are ² de = N(f) df 4 по- 8 N(f) of : tra³f دے > df p=24² fa P=

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Q: Explain, the given differential 3x²dx + 2yz dy + y² dz is exact or not.

A: We will check whether  3x^2dx+2yzdy+y^2dz is exact or not.

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Q: [2 3 7 10 Let A = 2 4 -27 -4 . If we let x be a positive integer, and we calculate A* = -6 a d b C e…

A: solution is given below:

Q: -co e-tsint (1) Evaluate f tsint dt t

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A: To find- Solve for one value of x in x3 - 8 = 0 1 + i3 -3 -2 -1 - 3   Formula Used-  a3 - b3 = a…

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Q: 4. The velocity of a body moving through a resisting medium with resistance proportional to the…

A: given system dvdt=-0.003 v2  , v0=v0 (a) use separation of variables dvdt=-0.003 v2⇒dvv2=-0.003 dt…

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Q: Question 1 [- Let f(x, y) =ln(xy)-50x³y Find fx, fxy and fxyx.

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

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A: Properties of integration  ∫a2-x2dx=x2a2-x2+a22sin-1xa+c∫f(x)+g(x)dx=∫f(x)dx+∫g(x)dx∫cdx=cx+A where…

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A: We have to solve the given problem.

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Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: 1. Define if the given series is converges 2n-1 n+2n+7 2. Find if the given series is absolutely or…

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Q: 3. If Z₁ = 1-1, Z2 = -2 + 4i, Z3 = √3-2i, evaluate Re {2z1³ + 3z2²-5z32). a. 35 b. 35i C. -35 d.…

A: Given z1 = 1 - iz2 = -2 + 4iz3 = 3-2i

Q: Let A=(a) be symmetric and positive definite. Show that A is nonsingular. nxn

A: I have given the answer in the next step. Hope you understand that

Q: 3- Show that the local truncation error at the pint (ih.jh) of the Crank-Nikolson approximation to…

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Q: Problem 1: (a) Compute 13-1 (mod 23) by enumerating multiples. Show your work. (b) Compute 13-1 (mod…

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

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Q: 6. The integral equation for a normal distribution curve's probability A. is an example of a…

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Q: #9. Given f(x) a) b) x²+x²-x²+x-2_ (x²+1)(x-1)(x+2) x³+4x²+5x+2 (x+1)²(x+2) State any vertical…

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Q: Suppose that f(x) is a differentiable function with f(1) = ½, f'(1) = 3, ƒ(2) = 7 and f'(2) = 2. Let…

A: Some of the properties of differentiation  df(g(x))dx=f'(g(x))g'(x) df(x)g(x)dx=f'(x)g(x)+g'(x)f(x)…

Q: 4. (-3x + 2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: Sol:-

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Q: Solve the following system using GS iteration method use x0 = (0000) 10x₁x2 + 5x3 = 6 -x₁ + 11x₂ -…

A: To find- Solve the following system using GS iteration method use x0 = 0, 0, 0, 0 10x1 - x2 + 5x3 =…

Q: f(x)= x³ -0.73x² - 44.0085x + 100.387125; [1.75, 3.25]; € ≤ 0.029

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Q: 1.) Find volume generated by the area bounded by y = 2x² and x-axis. You need to show two methods. y…

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Q: 1. a. Show that this model has an unbounded solution by Big M Method.     b. What can be changed to…

A: 1. (a) Given,               Max Z=3x1+6x2subject to       3x1+4x2≥12    -2x1+x2≤4and      x1, x2≥0

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Q: Reflection across the line y = -5 AJ TT -5-3-2-4 E D 2 3 4 $ X Reflection across the line y = 2 y C…

A: We need to graph the reflections of the following triangles across the given lines.