Mathematics, 13.07.2019 17:10 Trackg8101
Let a, b e r. we learned that if f is continuous on (a, b) then f is integrable on [a, b]. we did not look at the proof of this, which is quite involved, in class. you will prove a weaker version of this theorem in this question. first we need a definition: definition: let c > 0. given f : [a, b] β r. we say f is c-pink iff "x β¬ [a, b], vy β¬ [a, b], \f (x) β f(y) 0. fix a c-pink function f : [a, b] β r. prove that f is integrable on (a, b). hint: let n e n. let pn be the partition dividing [a, b] into n equal sub-intervals. using the fact that f is c-pink, what simple expression can you conclude u(f, pn) - l(f, pn) is less than? conclude with the e-reformulation of integrability.
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Mathematics, 21.06.2019 22:20
Given the following linear function sketch the graph of the function and find the domain and range. Ζ(x) = -5x + 4
Answers: 2
Mathematics, 21.06.2019 22:50
Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem
Answers: 1
Let a, b e r. we learned that if f is continuous on (a, b) then f is integrable on [a, b]. we did no...
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