(b) Give a qualitative explanation for why the sequence gn(x) = xn is not equicontinuous on [0, 1]. Is each gn uniformly continuous on [0, 1]?

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Q: a. Find the maximum heart rate function, M(x) for a person a years of age. M(x) = b. What is the…

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A: The given linear programming problem. maximize Z=6x+y Subject to the constraints, x-y≤03x-y≥0x,y≥0…

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A: Region : y=8x, y=x2

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A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

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Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: use power series to find the general solution of the differential equation. 1. (x2 - 1)y′′ + 4xy′ +…

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Q: A periodic function f(t) = i. ii. iii. is defined as follows: for-1≤t <0 for 0≤t<1 (3 {² (6 where f…

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Q: John, Rasheed, and Jeorge are different ages. Rasheed is six less than twice John’s age. Jeorge’s…

A: Age of Rasheed is six less than  twice John Age Jeorge's age is nine more  than half  of John age…

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Q: 1. Solve the system of linear equations by the Jacobi, Gauss-Seidel methods and method of successive…

A: x1+6x2+2x3=94x1-x2+x3=4-x1-2x2+5x3=2ω=1.6

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Q: Compute the DFT of the following sequence using the matrix form. x(n) = {0, 1, 2, 3} Then compute…

A: Discrete Fourier transform is a transform that converts a discrete function of the time domain into…

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A: A plane containing the line r=-3, -3, -5+t4, 4, -2 which is parallel to the plane -2x+y-2z=8. We…

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Q: maxx,y {f(x, y) = xy : 2x + 4y = 8}

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Q: OBTAIN THE GENERAL SOLUTION USING THE APPROPRIATE METHOD ALWAYS INDICATE THIE METHOD YOU HAVE USED

A: Given ODE xdy-y+xy31+lnxdx=0 which can be written as  dydx=yx+y31+lnx

Q: Find the order of the matrix.           10 –19 19 16 21 –18 –4 0

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Q: /13-x-5-5√x 0 ≤ x ≤ 13 os X = a ₁ x = b a+b? a<b

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Q: 24. Construct the image of GH after a rotation of 180° clockwise about point D. Leave all…

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Q: solve remaining parts

A: d. y'=x4e. ∑i=0naixdiydxi=fx,   where d0ydx0=yf. dxdy+y2x=siny+1

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A: Given information Curve: x7+y2=x+y Point: 1,1 Approximate the y-coordinate of a point on this curve…

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Q: Uniform shaft is fixed at one end and free in other end, if 020 t> 0 дх2 (0.0) 020 д12 0(0, 1) = 0,…

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Q: Using composite trapezoidal rule evaluate the integral ∫pi/2 0 x^2e^2dx , n=7

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Q: Homework Solve X g + x j Series with Power - 10 by using y(₁) = 0 g(0)=3

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Q: Find the supremum of each of the following sets. (If the supremum is infinite, enter the word…

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Q: Prove that _f₁ = = ₁+2 +851+1 −85₁-1 + ₁-2 +0(hª) 12h

A: Use taylor series expansion to prove this

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.