Levels Tought:
Elementary,Middle School,High School,College,University,PHD
Teaching Since: | Apr 2017 |
Last Sign in: | 235 Weeks Ago |
Questions Answered: | 12843 |
Tutorials Posted: | 12834 |
MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
1. Define a function f by fix] = 3 when 2': is between {J and 5, and by flaw) = 4 when :r. is between 5 and 7. Recall that this is written _ 3 3:6[UT5l
fl-Tl—{Li 3:6[5TTl Calculate A“? fir) rim. 2. 0 3:6 [0.4]
fix}: {2 3:6 [4:8] Calculate _A;?f(1:)dar. 3. Set fix} = {0 a: e [0.4] —2 23' E [418] Calculate A: fir) tics. 4. Set
{J .1: E [0, 4]
as = 2 a: e [4.81
3 .1: 6 [8,12]
Calculate _ 01 0 HI) dr. Hint: the interval for the integral is not [i]. 12].
5. Set 3 IE 0.4
f<v= {_T .Ttal Calculate A}? flat} dr.
7. Set f(:]'.‘-) = 3 — 3?. Calculate At? fin?) due. 9. Suppose that producers have a cost of p = 1!) + 0.0023: dollars for each item. say a
bicycle pump3 when they are asked to produce 3: items. Suppose that It]; UUI] such bicycle
pumps are produced, and that they sell for 30 dollars each. [a] Calculate the marginal
profit that the producers make when :1? bicycle pumps are produced (here 1' is some value
between {J and 10.000). (b) The total profit is the profit per item times the number of
items for which this profit is generated. Represent the total profit as an integral. (c) Use geometry to calculate the value of the integral in part {b}. 11. Suppose that some function f has 5 5 8 ll]
.,d$=7. ..d..=4. d.=9. l .d,=—2.
A as _ A M w . A fix) I . am A W") m Calculate
m in (T) A ram, (6)] ram. (a) A few. (at) 8 MW: an”) . “rid“ '. 15. Let flan) = 3:2 and consider the interval V = [1,3]. Divide V into n = 3
subintervals of equal length. Let u(f.j.3) = :rj and l[f.j.3) = 32;“ where j is 1, 2, or 3. These are the best upper and lower estimates (the ones with the smallest gap). Calculate UUJ) and LAf, 3].
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