Problem 8 let f(x) = x ₁ extensions of Period 4. Csine survey: Sme series 0 nzl (-1) vel n Us (2n-1) TX in nix

Q: (3) Prove that n=2²°² is a square. 2K+1 where K = 1 $ (n)

A: This follows from the definition of euler Phi function

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Q: Solve the initial value problem. dx +². +3tx=t¹ Int+4, x(1) = 0 dt The solution is x(t)=

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Q: .

A: Given :  y1''=2y1+y2+y1'+y2'y2''=-5y1+2y2+5y1'-y2'    ,  y10=y20=y1'0=4   , y2'0=-4 To Find :…

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Q: (e) Find the angle between two vectors u = (4, -3, 6) and v = (3, 0, 1).

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Q: 2. Start with the quadratic function: f(x) = ax² +bx+c and follow the steps below. 62 (a) Step 1:…

A: Please post one question at a time.

Q: 3. Use undetermined coefficients method to find a particular solution of the non-homogeneous ODE y"…

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Q: Find the matrix of the mirror reflection about the x-z plane in R³.

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Q: what is the rank of I-XX²) Xnxp of rank k. where Inxn )

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A: fx,y,z=x2+y2+5z2+2xz+4yz-4=0∴x2+y2+5z2+2xz+4yz-4=0⇒x2+2xz+z2+y2+4yz+4z2=4⇒…

Q: For part b, how did you get the total 5005

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Q: a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal…

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Q: X f(x) Find A^2f(2) a. 6 b. 12 c. 24 d. 18 0 .5 1 0 2 5.5 3 23.0 4 58.5 5 118

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Q: Find 63 (42x+1) O A. (210.9)42x O B. (52.7)42x OC. (105.5)42x

A: Given fx=42x+1 To Find : δ342x+1

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Q: (a) (5.18) Find the Newton's Divided Difference interpolating polynomial for the points (-h, 0), (0,…

A: (a) x                  fx                    1st order                                  2nd order…

Q: Assume a function f is differentiable and fx (9, 2) = -8, fy (9. 2) = 15, and f(9, 2) = 9. Near x =…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: 2. Start with the quadratic function: f(x) = ax² +bx+c and follow the steps below. (a) Step 1: Show…

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Q: x = −2x+6, x(0) = 0. (a) Use the integrating factor to find the general solution

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Q: he table below shows the mark scheme for three students doing Business and Economic Calculus.…

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Q: Give the conditions on how you can determine the horizontal asymptote of a rational function.

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Q: Answer the following questions: (a) To what order accuracy in Ax does this finite-difference scheme…

A: By Taylor series expansion, we have  fx+h = fx+hf'x+h22!f"x+h33!f'''x+ ....... We have to find the…

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Q: Find the exact length of the polar curve r = e2θ, 0 ≤ θ ≤ 2π.

A: Given that r=e2θ,  0≤θ≤2π We have to find the exact length of the polar curve.

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