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Q: Given f(x) = |x| for x € [-n,1]| Show that cos(2n – 1)x |x| 2 \xl = -- - (2n – 1)2 n=1 2.

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Q: 7. Given the equation y = 2 cos[4(x + 3)] + 1: a) rewrite the original equation if the period…

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

Q: Q.15) The solution of y" + y' = 0 by using power series method, is: %D a) y(x) = ao + a, (1- x2 %3D…

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Q: Use the Fuler methad's Solve the; g(0)-1 hこ8r

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Q: DO The point (1- V5,p) lies on the curve 10+2/5 y = Find the exact value of p, simplifying your…

A: We need to find the exact value of p given (1-5, p) lies on the curve y=10+25x2

Q: 1. Evaluate the given line integral, |(-y,x – y) · dR, where C is the upper part of x² + y? = 4 from…

A: Given  ∫C(-y,x-y).dR→ where C is upper part of circle  x2+y2=4 from (-2,0) to (2,0).   Note-As per…

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Q: 1. Evaluate the given line integral, I (-y,x – y) · dR, where C is the upper part of 4.x? + 9y? = 36…

A: we have to find the line integral  ∫C-y,x-y.dR→ where c is part of the ellipse 4x2+9y2=36 from…

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A: we will find function to be maximize

Q: QUESTION 5 Solve the following two parts. (a) Write the Fourier series for cos? (x), x€l- n,m) even…

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Q: dy 7x - x + 10x + 4 .3 Find if y = DO NOT dx x2 + 6x + 1 SIMPLIFY.

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Q: Directions: Complete the two-column proof to prove that: CD AB Given: AB = CD B Prove: CD= AB…

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Q: (c) It's not true that time travel is possible. For if I travel back in time and kill my…

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Q: init – dimensional vector space over the field F, and let W be a subspace of V. - + dim Wº dim V.…

A: Direct sum of the subspaces

Q: 1. Consider A = (0,4, 2), B = (6,0, 0) and C = (3,0,-1). %3D %3D %3D | (a) Find the unit vector in…

A: Introduction: A unit vector represents a vector whose period is unity. If we divide the vector…

Q: Evaluate the given line integral. (y, -x) · dR, where C consists of the uppder part of 2² + y? = 1…

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Q: Find The Valle f X 十 キ

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Q: Let fogec[agb] where c [a, b] Lt is the Vector sPace of the continuous functions overthe…

A: Let , f , g ∈ Ca , b  , here Ca , b is a vector space of the continuous functions over the closed…

Q: X°+ 7x"+ 15 XT† 32 x’+ 23x + 25

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Q: c) (-1)"xm 0.12) The interval and radius or convergence for power series m=0 h) (-00, +0), 1…

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Q: 3. Given the following function. 1, -1<x< 0 1 f(x) = x = 0 on [-1,1] 2 х, 0 <x <1 (i) Determine the…

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Q: Evaluate, the guen the upper pat from "(-1,0) to (1,0) and the parebalka y=x"-i, grom parobola (i,0)…

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Q: a) Q.7) To write the power series m=3 Um as the form Em=2 Um , we must shift m to a) т- Q.8) The…

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Q: 2. The system Exercise 2 (

A: This is a problem of phase portrait.

Q: Solve y' – y sinx = 2 sin a ; 2 sin x ; y (T/2) = 1 -

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Q: dY Consider the linear system: dt Y. (?) () (a) Show that the two functions Y, (t) = and Y (t) = are…

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Q: 6. For the harmonic oscillator with mass m = 1, spring constant k = 4, and damping coefficient b= 5,…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

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Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

Q: Q.1) The general solution of the equation e' cos , is:

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Q: 2. Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x + %3D n I N

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Q: Let V and W be finite – dimensional vector space over the field F. Let 6 be an* orderd basis for V…

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Q: f (t) = 3e " cosh (In 2r)

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Q: Obtain the differential equations satisfied by the given puiiicular solution 4. y = e3x- 5e - 1 5. y…

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Q: 3. C=Z+, (a*b) = ([max(a,b)]/8) + 3 %3D

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Q: Mark has pairs of pants in three different colors, blue, black, and brown. He has 5 colored shirts:…

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Q: 11. Give an example of a set of data that satisfies the following conditions. has 8 data bimodal…

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Q: 1. Consider the function g(x, y) = cos(xy) + sin(x – 2y) (a) Determine дудх (c) Determine (c) What…

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Q: Write the equation for the graphs below. -5 0. -5

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Q: How many pair(s) of intersecting chords does the figure have? M A O. O 4 O 1 3. 2.

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Q: c) Find te geseral salutin * (2x +y)dx - (ux + ay -i) dy o

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Q: Q.5) The general solution of the equation y"+ 9y" = 0, is: %3D a) y(x) = c1 + c2x + Acos3x + Bsin3x…

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

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Q: 4. f(t) = teatcosbt %3D

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Q: dx is: value of the integral sinx the Using Simpson's rule 113,

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Q: Given the following function. -1<x<0 x = 0 0 <x<1 (i) Determine the period of f(x). (ii) Find the…

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Q: 2. Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x + n IN

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