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Math 432 Real Analysis II Solutions to Homework due March 11 Question 1 Let f(x) = k be a constant function for k 2R 1 Show that f is integrable over any a;b by using Cauchy’s " P condition for integrability.

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From this chart, we see that the parabola y = x 2 contains the points (3, 9) and (4, 16) On the other hand, he parabola y = 2x 2 contains the points (3, 18) and (4, 32) On the first equation, y = x 2, to move horizontally across the xaxis from x = 3 to x = 4, we move up vertically on the yaxis from y = 9 to y = 16 which is 7 unitsSo, to go from the point (3, 9) to (4, 16), we move over 1. C Lc U fs o x/ " r y G s D $ 4 ' ?. O t Is reliev q X ili ؇ך.

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1 day ago · ID3 TXXX major_brandM4V TXXX minor_version1TXXX compatible_brandsisomavc1mp42TSSE Lavfÿû@ÀInfo àOŽ¬ "$&),1369;=ACEGJMORTWZ\^bdfilnpsvx{}€ƒ‡Š. That is, given two signals x 1(t) and x 2(t) and two complex numbers a and b, then ax 1(t) bx 2(t) ,aX 1(j!) bX 2(j!) This follows from linearity of. Answer to 2 Find the derivative (a) h'(x), where h(x) = (2x 7)?.

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Fz kgand fx ngSince fz kgconverges, so does fa mg, contradicting the assumption that fx nghas no convergent subsequence (Note the similarities with the solution of Exercise 7 from Homework 3) 394 Let Mbe a metric space such that Mis a nite set. Ÿ€œ‚€ƒbr/> PrintedénÇermany ErstesÂuch «æi†€ °te_10" > M¼À óicher,õmóeineÌippenópielte € egbewu ßtesÌ Ã¤ ˜ln µ¹ €ï€ï€é 2 Beiâr ülle†àmÕnw‡øer,‡øief€¨öorΠäss†0damp€ª‡ÐˆXÓchw èeårr‰9tˆ ‰hAmalfi‹as‹xd="Seite_38" >”g°2Ö¿Ðw¯Y«àa½À½9µ «èš. Identify the collection of three functions whose graphs are all symmetric about the origin A y=1/x, y=x, and y∛x B y=x^3, y=3, and y=1/x C y=x, y=1/x, and y=x^3.

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