9. Let S- {xeZ| 3r.seZ,x=9r+6s) and T={xeZ| 3x} b) Prove that T Cs. a) Prove that SCT. Hint for (b): 9n + 6(-n)= 3n

Q: 3. Evaluate || (3y+ 2x“) dA, where R = {(x, y) E R² : |x|+|y| < 1}. R.

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Q: 2x-1 Find f1) if Az) = %3D x+2. a) O b) O c) O d) 515

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Q: If z = 3x2 – 2y3, x = 1+ s²t and y = 33 – t2, then dz %3D O a) 6x(1+ s²)+ 12ty O b) 6s²x – 12ty - c)…

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Q: Submit through Canvas as indicated. T u = (2,-5) and v= −3i+7j

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Q: 4 Lonsider the functlan fx)= -5x4- |l+x?tx-17. functfon Fex)= -5xH-|l+x²+2x-17. 5xH-113+ Whatis r n…

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Q: Determine whether (p→q)→(q→r) is equivalent to q→r. Justifyyour claim.

A: we have to check whether  (p→q)→(q→r) is equivalent to q→r

Q: best Rank 2 approximation F ind weth respect to I|F|l the where to A -1 2 -1

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Q: 6.- Evaluate T(au + bữ), considering the following 1 T(ī) = 2, T(5) = , T(ī) 2, a = -1 and b = 2 3…

A: T(au+bv)=T(au)+T(bv)

Q: Find the difference quotient, a) 5h²+2a+h+6 h Ob) 10a + 5h + 1 O c) 10a +1 Od) 5h + 1 f(a+h)-f(a) h…

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Q: Prove from the definition: n3 + 65n2 + √n = Θ(n3)

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Q: 13A) Find m/VWX 10x+14 4x + 21 15,

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Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

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Q: 44. (a) Let a, b, ceZ with (a, b) = 1 and a | bc. Prove that a c. (b) Provide a counterexample to…

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