Determine the b, of the Fourier Series of: - 1

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Q: Explain why F, contains a primitive nth root of unity if and only if p = 1 mod n. Hint : Use the dis...

A: To prove  Fp contains a primitive nth root of unity if and only if p≡1mod n (or n divides p-1).

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Q: 5.) Suppose z = f (x, y) , where x=x(t,r) and y= y(t,r). Assuming all the functions involved have co...

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Q: Solve the initial value problem. -2 X' = AX, X(0) = , where A = 5 2 [2 sin 2t+-4 cos 2t] e2t -5 cos ...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

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Q: Which statement about the distance between 6 and 0 and the distance between the opposite of 6 and 0 ...

A: Distance between two entities is the length between them Distance is a positive scalar quantity Dist...

Q: Find the length of the arc of the curve 4y? = 9x3 from the origin to the point (2,3v2).

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Q: Consider z and the binary relation on A given by R=( (x,y)lx+y = 10) For each item, fill the blank b...

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Q: Evaluate the moment M, and M, of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

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Q: 1. Consider the functions f : A → B and g : B → C. (a) If f and g are both surjective, show that so ...

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Q: Question 5 Given matrices A and D 0 0 1 A =0 1 0 10 0 1 D =0 -20 Which of the following is correct? ...

A: It is given that ;                   A = 001010100      and    D = 1000-20001 And we have to find  A...

Q: 2 Evaluate į 8x'ax by the Gaussian quadrature method. Tolerance = Nx10

A: The integral given is as follows: ∫028x7dx We are asked to evaluate the integral using the Gaussian ...

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Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y - 2)* = -4(x - 4) ...

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Q: The rate of change of the temperatu

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Q: Differential equation solution. (D ^ 3 + D ^ 2 - D - 1) * y = e ^ x

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Q: Find a primitive third root of unity e F7, then verify by direct computation that (5 - 5)? = -3 in F...

A: Primitive roots are those x which satisfy x^k = 1 mod n

Q: Laplace Integrals We shall derive the Fourier cosine and Fourier sine integrals of f(x) = e-k*, wher...

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Q: Analytical geometry Learning Activity 1 1.1 In the diagram below, a circle with centre O is given wi...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: 2x3 dx (x² + 1)2 4.

A: To evaluate ∫2x3(x2+1)2dx

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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Q: M for $1,000,000, with monthly payments and monthly compound There are no rate caps or floors. Suppo...

A: Now, the principal paid off after 1 year using the CUMPRINC function in Excel : rate = 3%/12  nper =...

Q: 4. D = –16 – 12i ΕXPOΝΕΝΤIAL FORM 5. E = 10e¬1.97i RECTANGULAR FORM

A: The modulus of the complex number a+bi is a2+b2. Calculate the modulus of the given number D=-16-12i...

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Q: x-1)" log n Consider the power series where log n is the logarithm of n to the base 10. n=2 (a) Show...

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Q: Consider the following set: S = { [x, y, z] E R x + 2y – z = 0} : (a) Show that S is a subspace of R...

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Q: Ruler axiom. There is a one-to-one correspondence between any line and the set of real numbers. How...

A: We will use the basic knowledge of mathematical logic to answer this question properly, in detail.

Q: Stephanie is shelving books in a display in TH the school library. She has 3 different books cla wit...

A: Stephanie has 3 different books with 4 copies each. So Total books = 4x3 = 12

Q: Let f(2) = : Part (a) Find the integral of the function f(2)on the circle of radius 8 centered aroun...

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Q: A team of scientists are studying two species of deer in a park who are competing for the same grass...

A: We will be solving part(b) as mentioned. The given system of differential equation is: dxdt=x2.20-0....

Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y – 2)? = -4(x – 4) ...

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Q: etermine if the series converges or diverges n (-1)3п n4 + 1 =1 onsider the power series. Use the pr...

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Q: Solve the given linear system using: 1. Gauss-Jordan Method ( Elementary Row Operations ) H. Cramers...

A: The given system of equations                                              x+3y-6z=-233x-2y+3z=165x+...

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Q: cos" (;) is absolutely convergent, conditionally convergent, or divergent. en?

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Q: Solve y(x)=1–2x–4x² +[3+6(x-1)-4(x-1)ʻ]y(t)dt it.

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Q: What Mclaurin Series this function represents: -를- n+1 = x n + 2 3 O a. In(1+x) O b. cosx O c. sinx ...

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Q: Hiw.f Phavethat 22 22=o far the function dy z -2y Coos 2X 2. P cxxy) = Ln JxZeyZ

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Q: Find the antiderivative, G(t), of the function g(t) = (5n²t2 - t*)V5n2 – t2. %3D

A: Let us find the antiderivative of the given function in t  in the next steps using substitution meth...

Q: d) [2x'(а — b)/ 3x(а — b)?]

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Q: Try to fit any two moving averages models to the following data and discuss its performance. YEAR 20...

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