Sketch graphs of the following periodic functions and state the period of each o f(x)=√x², 0

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Q: 200 1. If lima, = 0, then an 1-

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Q: true or False. Why? know? How do you k The surface &(u,v) = (v sin u, vcosu, o) with 0 ≤ u≤ 20, and…

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Q: Suppose that for some 3 x 3 matrix A, we have -2 (G)--)-0 2 and A A (a) Give one eigenvalue of A -2…

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Q: 1. Show that the square root of 3 is irrational as follows: (a) If 3p² = q² for p, q E Z, show that…

A: Let us prove the above result.

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Q: 1. Given the following matrices 4 2 -1 1 0 0 A = --[& 3] --B]-[N] 2 -5 X = X2 I = 0 1 0 -1 3 -2 03 0…

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Q: 10. Prove that a³ =a (mod 6) for every integer a.

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A: Determine whether each of the following sequences is convergent. Justify.C.   where .

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Q: a) b) 2 SEA O $ (y²³-2x³y²³) dx dy 3 1 JA 13 Y $$ (e cosx) dy dx 0 O

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Q: Let C be the helix in R³ defined by r(t)= (cost, siht, t), 0≤t≤2π [ (x²y+z)ds کے

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Q: (i) lim x-0 sin¹0 (2 sin¹0 (3x)) 10 x100

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Q: Prove that if x is rational, then x² is rational.

A: We know thatA rational number is any number that can be written as a fraction, where both the…