Determine the interval of convergence and the radius of convergence of the power series x2n Č n-2 n n (In n)²*

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Q: Show that 38 = -1 (mod 17). Using this, deduce that 3 is a primitive root of 17.

A: Premitive root modulo 17

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Q: *** SOLVE STEP BY STEP IN DIGITAL FORMAT Find the area of the circle whose equation is 9x² +9y² +…

A: Given- The equation 9x2 + 9y2 + 72x - 12y + 103 = 0 To find- The area of the circle whose equation…

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A: given dydt=k(M-y) with initial condition y ( 0 ) = 0.    from variable separable method we have…

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A: (a) consider functions        f(x) = 1/x3 and g(x) = x - 2.       Then, f(g(x)) = f(x - 2)…

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Q: 3) het fix) = x² + 2x + 2 (a) Explain why fiel is irreducible in 24₂6x5. (5) Why is field? How…

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A: Given Data: Let us consider the given data, To Determine: a limx→-2ddxgx2 b limx→1-ddxfx

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Q: Given A - 1 00 34 1 331 1 I Solve the maxtrix equation Ax and b = b for x 200 150 250

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A: Given- ∫17x2 dx,   n = 6 To find- Use Trapezoidal Rule and Simpson's Rule to approximate the value…

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Q: For p = 13 ⇒ (13) = ⇒3 (12) primitive roots of 13 Φ(12) = Φ(4)•Φ(3) = 2.2 =4 :. 34 primitive roots…

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Q: Consider the following Gauss-Jordan reduction: [10 -7 00 7-7 Find B₁₂ 1 <-17 10 0 0 -7 0 BA 1-6-6-6…

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Q: 3 This series converges. Find its exact sum. Σn=1 n²+3n

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Q: Determine whether the equation is exact. If it is, then solve it. 6x 2 (9)x dx- 8y- |dy = 0 Y

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Q: Show that 38 = -1 (mod 17). Using this, deduce that 3 is a primitive root of 17.

A: We need to show that 38≡-1mod 17. Since 34=81≡-4mod 17 ⇒38=342≡-42mod 17

Q: 2. Let X be the space of all ordered n-tuples x=(₁,,n) of real numbers and d(x, y) = max |; - ni

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Q: Consider the function y = 8x2 m= 8x + 6 on the interval a) Find the slope of the secant line on this…

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