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HW5solutions

# HW5solutions - 016A S2 Homework 5 Solution Jae-young Park...

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016A S2 Homework 5 Solution Jae-young Park * September 30, 2007 2.1 #6 Describe the graph.(See p.150) Solution It has a maximum at a ≈ - 0 . 5 Increasing for x < a - 0 . 5, relative maximum at x = a ≈ - 0 . 5 with maximum value α 5 . 2. decreasing for x > a . Concave down for x < 3 and inflection point at x = 3, Concave up for 3 < x . x -intercept at ( - 3 . 5 , 0), y -intercept at (0 , 5 . 1). ( y = 0 is an asymptote? Since we don’t have an information for 8 < x , this is not clear. You may say we have an asymptote or not. Either way should be fine.) ( Every value other than x = 3 is an approximate ) 2.1 #8 Describe the graph. (See p.150) Solution Increasing for x < - 1, relative maximum at x = - 1 with maximum value 5, decreasing for - 1 < x < a 2 . 8, relative minimum at x = a 2 . 8 with minimum value -2. increasing for a ( 2 . 8) < x . Concave down for x < 1, inflection point at x = 1, concave up for 1 < x . x -intercept at ( - 2 . 4 , 0) , (1 . 2 , 0) , (4 . 3 , 0) ( approximates ) y - intercept at (0 , 3 . 3). 2.1 #10 Describe the graph. (see. p. 150) Solution Increasing for all x . no relative maximum or minimum. Concave down for x < 3, inflection point at x = 3. Concave up for 3 < x . x -intercept at ( - . 5 , 0) ( approximate ), y -intercept at (0 , 1). Defined for all x and no asymptote. * jaypark at m a t h . b e r k e l e y . e d u. GSI for 16A 205,211,213 1

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2.1 #12 Describe the graph. (see. p. 150) Solution Increasing for x < a ≈ - 1 . 5, relative maximum at x = a ≈ - 1 . 5 with maximum value 3 . 4, decreasing for a ≈ - 1 . 5 < x < b 2, relative minimum at x = b 2 with minimum value ≈ - 1 . 5, increasing for b ( 2) < x < c 5 . 5, relative maximum at x = c 5 . 5 with maximum value 3 . 3, decreasing for c ( 5 . 5) < x . Concave down for x < 0, inflection point at (0 , 1), concave up for 0 < x < 4,
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HW5solutions - 016A S2 Homework 5 Solution Jae-young Park...

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