Problem 2. Solve the inequality f(2) – 0| > ]r – 0], where f(r) = (3r - r)/2. This identifies points whose distance from 0 increases on each iteration. Use the result to find a large set of initial conditions that do not converge to any sink of f.

Q: 1. 4. Use the Min-Max inequality to find upper and lower bounds for dx 1+x2

A: Given integralI=∫0111+x2dxfx=11+x2We can observe that fx is decreasing function .

Q: 2. Consider the equation f(x) = x4 – 4.x² +4 and the problem of computing the positive root of f(x)…

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Q: 45. Let f(x) = e¯* and T3(x) = 1- x + Use the error bound to show that for all x > 0, x4 If (x) –…

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Q: 10. Let f(z) = 4z7z²+3z +1 and g(z) = 4z7. Show that f(z) - g(z)| < |g(z)| for |z| = 1.

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Q: 43. Show that f(x) = x4 - 7x² - 8x - 3 has exactly one cal point c in the interval (2, 3).

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Q: 4. x t +5 and y = 5-t for 1<t = %3D t

A: We are asked to find the domain of the graph.

Q: Please help

A: (A)Calculation of critical point of g(x):we can find derivative We can see that f(x) is positive and…