1. a) Define a fractal. b) Use the definition and defining nature of a fractal to create your own fractal pattern. Include its original iteration (shape) and the first and second iterations.

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Q: (a) Let (F(n))n>0 be a sequence of real numbers and let k e N. Explain what it means for (F(n))n>o…

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Q: llnll=max |x C+)| tej show that is norme space. j-[a,b]

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Q: Every bounded sequence converges. True or False?

A: False

Q: QUESTION 9 Find the measure of the missing side of the right triangle below using the Pythagorean…

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Q: Which of the following sets are subspaces of R°? A. ((x, y, z) | x < y < z} B. ((x, y, z) | 5x – 9y…

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Q: f(x) = sin(x) , x is the members of [a,b]  this f(x) is bounded variation on given interval.

A: Definition:

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Q: 3. The coefficient matrix of the system AX = 0 is given as 1 1 3 1 2 -1 0 1 -1 A = -3 2 1 -2 1 4 16…

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Q: a) Define a mapping TRR by b+c ) Determine whether Tis a linear transformation. ii) Find the image…

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Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. y =c,e+ce+c,e²r+c,cosx + c zsinx y =…

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Q: Show that the Substitution XZe e reduces the eguation y=9G) ()6 =fっ+,パx9+パで6

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Q: 3. Determine a root from the given equation below using Regula-Falsi method with the terminating…

A: Given that, F(x)=0.004x4-0.02x3-0.7x2+1.8x+13   (1) Iteration 1st: at x=5, f5=4.5&gt;0and at x=6,…

Q: (a) Show that the substitution x = e reduces the equation ax²y" + bxy' + cY = g(x) to an equation…

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Q: 3. Graph the following piecewise functions. -x - 3, if x <1 x², if x21 (2) = {*7,if x 2 1 f(x :

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Q: theoreud. @IR PeRfasbland dERthenAfEIR[arb], and O TffE R[a,bJaud fex)zofor xE[arb] for XE[arb]then…

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Q: if v is then in the Span fu, w? a lihear Combination of v and w uis V and W

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Q: Find the value of x, y and z using Gaussian Elimination Method: ax + y + z = 1 x + ay + z = 1 x…

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Q: A can of soda is a cylinder that is about 4.75 inches tall with a radius of 0.875 inches. What is…

A: Introduction: The volume of a cylinder of radius r and height h is given by, .V=πr2h

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Q: Use the Binomial Theorem to expand the expression (3x + 2y). Show your work.

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Q: f: (0, 2) → R defined by: -1 0<x <1 1<x< 2 (a) Sketch the Half-Range cosine series for f f(x) = { 1…

A: Given :        f : 0, 2→ℝ defined by       fx=-1,0≤x≤11,1≤x≤2 (a) To sketch the Half-Range cosine…

Q: 1. Suppose that A is an nxn non-zero, real matrix and 2 is a fixed real number. Let E ={x=R* : AT =…

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Q: Given that y, = -3r²e=3#, y2 = 7x° are solutions of a linear homogeneous equation with constant…

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Q: 1-Cosx The value of limx→0 by using series is 1+x-e*

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Q: Given the function f(x) = cos(x) - sin(x) defined on the interval [0.0, n/2]. The angle is in…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: B/ Find solution for the homogenous differential equation below: dy x² +y² dx 2хy

A: Given differential equation is dydx = x2+y22xy

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Q: 6. Find the volume generated by rotating the curve y = e-® about the x-axis on the interval [0, ∞)

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Q: 2 (i) xe" dx -2 (ii) -2e" cos x dx (iii) x sin x dx

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Q: Represent f(x, y) (0<x < 4, 0 < y < 4) by a double Fourier series sin (). NTY f(x, y) = EEBmn Sin ()…

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Q: x = y y' = -6x – 5y (1) Find all straight line trajectories for the system above, using any method…

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Q: Consider an online dating site with four men m1, m2, m3, m4 and four women wi, wz, W3, W4. Suppose…

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Q: Solve Y"'' – 6Y" + 11Y – 6 = 0

A: Given Y''' - 6Y'' + 11Y - 6 = 0