Concept explainers
a.
Whether the expression
a.
Answer to Problem 49E
Continuous
Explanation of Solution
It is known that x represents the capacity (in gallons) of first jug and y represents the capacity (in gallons) of second jug.
So, the expression
Since, jugs can hold any amount of water, the expression is continuous.
b.
Whether the expression
b.
Answer to Problem 49E
Discrete
Explanation of Solution
It is known that A represents the number of jugs filled of first size and y represents the number of jugs filled of second size.
So, the expression
Since, number of jugs filled can only be a positive integer, thus this expression is discrete.
c.
Whether the expression
c.
Answer to Problem 49E
Continuous
Explanation of Solution
It is known that x represents the capacity (in gallons) of first jug and A represents the number of jugs filled of first size
So, the expression
Since, jugs can hold any amount of water, the expression is continuous.
d.
Whether the expression
d.
Answer to Problem 49E
Continuous
Explanation of Solution
It is known that x represents the capacity (in gallons) of first jug and A represents the number of jugs filled of first size
So, the expression
Also it is known that y represents the capacity (in gallons) of second jug and B represents the number of jugs filled of second size
So, the expression
Thus, the expression
Since, jugs can hold any amount of water, the expression is continuous.
Chapter 3 Solutions
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