Math 211 Business Calculus Applications of Derivatives

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$Math 229 Summation Worksheet$

$Math 211 Business Calculus - Department of Mathematical Sciences ...$

$Math 230 Practice Exam 1 Solutions$

$Math 210 Lecture Notes - Department of Mathematical Sciences ...$

– p. 12/34 Find the Asymptotes For y = f(x) = x−2 x+1 Vertical asymptotes occur when the denominator x+1 = 0 or whenx = −1 x−2 Note that lim x→−1 +f(x) = lim x→−1 + x+1 = −3 0 = −∞ + To find the horizontal asymptote(s), compute the limit x−2 1/x = lim x→∞ x+1 1/x = lim 1−2/x x→∞ 1+1/x
– p. 12/34 Find the Asymptotes For y = f(x) = x−2 x+1 Vertical asymptotes occur when the denominator x+1 = 0 or whenx = −1 x−2 Note that lim x→−1 +f(x) = lim x→−1 + x+1 = −3 0 = −∞ + To find the horizontal asymptote(s), compute the limit x−2 1/x = lim x→∞ x+1 1/x = lim 1−2/x x→∞ 1+1/x = 1−0 1+0
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- p. 1/34 Math 211 Business Calculu
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- p. 2/34 Asymptotes A nonvertical
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- p. 3/34 Example Lety = f(x) = x+
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Example Lety = f(x) = x+ 1 x f ′
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- p. 4/34 Graph of x+1/x ♣ (1,2)
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Graph of x+1/x 1 lim x→0 + x =
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- p. 4/34 Graph of x+1/x 1 lim x→
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- p. 4/34 Graph of x+1/x 1 lim x→
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- p. 5/34 Vertical Asymptotes To fi
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- p. 6/34 Horizontal Asymptotes To
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- p. 6/34 Horizontal Asymptotes To
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Page 47 and 48: Horizontal Asymptotes To find horiz
Page 49 and 50: Horizontal Asymptotes To find horiz
Page 55 and 56: - p. 7/34 Computing Limits When fin
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Page 63 and 64: Example 1. Compute the limit x 2 +8
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Page 67 and 68: - p. 9/34 Second example This limit
Page 69 and 70: Second example This limit may end u
Page 71 and 72: - p. 9/34 Second example This limit
Page 73 and 74: - p. 10/34 Graphs with asymptotes S
Page 75 and 76: Graphs with asymptotes Sketch the g
Page 77 and 78: Graphs with asymptotes Sketch the g
Page 79 and 80: - p. 11/34 Graphs continued Since t
Page 81 and 82: Graphs continued Since the first de
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Page 85 and 86: - p. 11/34 Graphs continued Since t
Page 87 and 88: - p. 12/34 Find the Asymptotes For
Page 89 and 90: Find the Asymptotes For y = f(x) =
Page 91 and 92: Find the Asymptotes For y = f(x) =
Page 95: - p. 12/34 Find the Asymptotes For
Page 101 and 102: Graph of (x−2)/(x+1) - p. 13/34
Page 103 and 104: - p. 13/34 Graph of (x−2)/(x+1) x
Page 109 and 110: - p. 14/34 Business Applications Th
Page 121 and 122: - p. 16/34 Maximize Revenue If the
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- p. 18/34 Maximize Revenue The rev
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- p. 18/34 Maximize Revenue The rev
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- p. 19/34 Max versus Min R = x 3
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- p. 20/34 Maximize Profit As a gen
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- p. 21/34 Maximize Profit Example
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What level of sales maximizes profi
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- p. 22/34 Ticket Sales Problem •
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- p. 23/34 Ticket Sales Setup Letx=
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- p. 24/34 Ticket Sales Solution R(
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- p. 25/34 Dog Kennel Problem The o
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- p. 26/34 Dog Kennel Setup Letx=le
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- p. 27/34 Dog Kennel Solution Solv
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- p. 28/34 Another Fencing Problem
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Another Fencing Problem The owner o
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- p. 29/34 Fencing Problem Setup Le
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- p. 30/34 Fence Solution Solve xy
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Fence Solution Solve xy = 810 fory:
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- p. 31/34 Limit Def Revisited Reca
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- p. 32/34 Marginal Revenue, Profit
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- p. 33/34 Marginal Example Flying
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- p. 34/34 Marginal Example Continu
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Math 211 Business Calculus Applications of Derivatives

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