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. 30/34 Fence Solution Solve xy = 810 fory: y = 810/x Substitutey = 810/x into the cost equation C = 8y +5x = 8· 810 6480 +5x = x x +5x Differentiate (with respect tox) and set to 0: dC dx = −6480 +5 = 0 x 2
– p. 30/34 Fence Solution Solve xy = 810 fory: y = 810/x Substitutey = 810/x into the cost equation C = 8y +5x = 8· 810 6480 +5x = x x +5x Differentiate (with respect tox) and set to 0: dC dx = −6480 +5 = 0 x 2 if and only if 6480 = 5 x 2
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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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Horizontal Asymptotes To find horiz
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Horizontal Asymptotes To find horiz
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- p. 7/34 Computing Limits When fin
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- p. 8/34 Example 1. Compute the li
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Example 1. Compute the limit x 2 +8
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- p. 8/34 Example 1. Compute the li
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- p. 9/34 Second example This limit
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Second example This limit may end u
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- p. 9/34 Second example This limit
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- p. 10/34 Graphs with asymptotes S
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Graphs with asymptotes Sketch the g
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Graphs with asymptotes Sketch the g
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- p. 11/34 Graphs continued Since t
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Graphs continued Since the first de
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Graphs continued Since the first de
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- p. 11/34 Graphs continued Since t
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- p. 12/34 Find the Asymptotes For
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Find the Asymptotes For y = f(x) =
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Find the Asymptotes For y = f(x) =
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Graph of (x−2)/(x+1) - p. 13/34
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- p. 13/34 Graph of (x−2)/(x+1) x
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- p. 13/34 Graph of (x−2)/(x+1) x
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- p. 13/34 Graph of (x−2)/(x+1) x
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- p. 14/34 Business Applications Th
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- p. 16/34 Maximize Revenue If the
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- p. 17/34 Max versus Min R = −0.
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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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Page 275 and 276: - p. 32/34 Marginal Revenue, Profit
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Math 211 Business Calculus Applications of Derivatives

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