What I Can Do Let's apply what you have learned from the lesson. The concentration (C) of a given substance in a mixture is the ratio of the amount of substance to the total quantity. In symbols,

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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TNT O O
717B/s Ot J
5:10 pm
Edit
88
21
What I Can Do
Let's apply what you have learned from the lesson.
The concentration (C) of a given substance in a mixture is the ratio of the
amount of substance to the total quantity. In symbols,
where C is the concentration, S is the amount of substance, and T is the
total quantity. If 8 ounces of punch contains 4 ounces of pure orange juice,
the concentration of orange juice in the punch is 4/8 or 50%. The punch is
50% orange juice. Consider the problem where we begin that 8 ounces of
punch that is 50% orange juice and want to write a function that gives the
orange juice concentration after x ounces of pure orange juice are added.
Questions:
a. How much orange juice do you begin with? Write an expression for
the amount of orange juice present after x ounces has been added.
b. Write an expression for the total amount of punch present after x
ounces has been added.
c. Using the answers in (a) and (b), write a rational function defining
the pineapple juice concentration as a function of x.
d. Give the x and y - intercepts of the rational function.
What is the equation of the vertical asymptote and of the horizontal
asymptote?
e.
23
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Transcribed Image Text:TNT O O 717B/s Ot J 5:10 pm Edit 88 21 What I Can Do Let's apply what you have learned from the lesson. The concentration (C) of a given substance in a mixture is the ratio of the amount of substance to the total quantity. In symbols, where C is the concentration, S is the amount of substance, and T is the total quantity. If 8 ounces of punch contains 4 ounces of pure orange juice, the concentration of orange juice in the punch is 4/8 or 50%. The punch is 50% orange juice. Consider the problem where we begin that 8 ounces of punch that is 50% orange juice and want to write a function that gives the orange juice concentration after x ounces of pure orange juice are added. Questions: a. How much orange juice do you begin with? Write an expression for the amount of orange juice present after x ounces has been added. b. Write an expression for the total amount of punch present after x ounces has been added. c. Using the answers in (a) and (b), write a rational function defining the pineapple juice concentration as a function of x. d. Give the x and y - intercepts of the rational function. What is the equation of the vertical asymptote and of the horizontal asymptote? e. 23 DO Tools Mobile View Share PDF to DOC Edit on PC
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