Show that the sequence {f}, where f₁²x) = tan `nx, x70 is uniformly ノ on any interval [a,b], aso but on [0,b]. convergent on is only pointwise convergent Hint: (tornx + cutni'x = I).

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Q: Find the average rate of change of the function f(x) interval1 ≤ x ≤ 6. none of the above 162/8 34…

A: I have given the answer in the next step. Hope you understand that

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Q: 6. Find the Gershgorin disks for the following matrix 2 1 0 A= 1 -1 -1 0-1 3

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A: if one solution of equation f(x) =0 is xn  Then next approximation can be given by  xn+1​  =xn…

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Q: 3. Solve the DE: y45y" +4y=0

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Q: 1. So dx 2. 3. x² (x+1)4 fxcos2xdx 4. TL TT TT Sễ sin²4ycos²2ydy sin*xcosxdx

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Q: Let u, EC prove that ū · v = v · ū น

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Q: oll Show that sequence {n} n = 1, where .... 1/1₂ 0₂0₂...) converges 1/1,0,0 :) 9 9... 1/ng...) in…

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Q: Prove by contrapositive. Let k be an integer. If 5k+9 is odd then k is even.

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Q: Which one of the alternatives is a proof by contrapositive of the statement If x³ -x + 4 is not…

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Q: Let A = {x € R]−1≤ x ≤ 4}, B = {x € R| 4 ≤ x ≤ 6}, and C = {x € R|3 ≤ x 6}

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Q: A fractal pattern has the sequence (1, 3, 9, 27, ...). The recursive formula is O a O b Oc Od a₁ =…

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Q: 8. Let A be an m x n matrix. Prove that if n is an odd number, then rank(A) = nullity(A).

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Q: -10 10 -30 20 -10 2 -10 10

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Q: 2. Let G be the solid in the first octant bounded by the cylinders 2²+y² and (x - 1)² + y² = 1, and…

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