Math1011_Week04

Math1011_Week04 - Math1011 Section 2.1 9/13/2010 The...

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Math1011 Section 2.1 9/13/2010 The following graph shows the population of Uganda since 1950 a. What was the average population growth between 1950 and 2005? b. Estimate how fast Uganda’s population was growing in 1960.
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Math1011 Section 2.1 1 The following graph shows the population of Uganda since 1950 a. What was the average population growth between 1950 and 2005? 12 27.5 5.2 22.3 0.4055 millions people/year 2005 1950 55 y m xx == = −− b. Estimate how fast Uganda’s population was growing in 1960. The slope of the secant line from 1960 to 1965 is an estimate 8.5 7.5 1 0.20 million people/year 1965 1960 5 yy = (Doc #1011p.21.01)
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Math1011 Section 2.1 2 2 Find the average rate of change of ( ) 3 2 over the interval [0,2]. fx x =+ 2 Without "taking the derivative", find the slope of the curve of ( ) 3 2 at the point (1,5). Find the equation of the tangent line at (1,5).
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Math1011 Section 2.1 2 2 Find the average rate of change of ( ) 3 2 over the interval [0,2]. fx x =+ 2 2 12 (2) 3(2) 2 12 2 14 (0) 3(0) 2 0 2 2 (0) 14 2 6 20 The average rate of change on [0,2] is 6. f yy y ff m xxx = + = = + = Δ−−− == = = = Δ− 2 Without "taking the derivative", find the slope of the curve of ( ) 3 2 at the point (1,5). 22 2 2 (1 ) 3(1 ) 2 2 ) 2 3 6 5 (1) 3(1) 2 3 2 5 ) 3 6 5 5 3 6 36 11 As h becomes smaller (0), 6 The slope of the curve at (1,5) is 6. fh h mh xh += + + = + + + = + + = + = Δ +− + + + = = = + Δ+ = Find the equation of the tangent line at (1,5). () 56 ( 1 ) ym yx −= (Doc #1011p.21.01)
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Math1011 Section 2.2 3 2 4 Graph ( ) 2 x fx = Graph ( ) 2 g xx = + What is f(2)? What is g(2)?
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This note was uploaded on 12/06/2010 for the course MATH 1110 taught by Professor Martin,c. during the Fall '06 term at Cornell.

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Math1011_Week04 - Math1011 Section 2.1 9/13/2010 The...

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