Shown below is the graph of the flow rate f left parenthesis t right parenthesis of a pipe, in gallons per minute. Here, t equals t h e space n u m b e r space o f space m i n u t e s.

Using this information, find integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t, which gives the total number of gallons of water that flowed through this pipe in 8 minutes.

a.)
integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t equals 26.5 space g a l l o n s

b.)
integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t equals 27 space g a l l o n s

c.)
integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t equals 29.5 space g a l l o n s

d.)
integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t equals 25 space g a l l o n s

Question

24-06-2024
Mathematics

Answered

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Shown below is the graph of the flow rate f left parenthesis t right parenthesis of a pipe, in gallons per minute. Here, t equals t h e space n u m b e r space o f space m i n u t e s.

Using this information, find integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t, which gives the total number of gallons of water that flowed through this pipe in 8 minutes.

a.)
integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t equals 26.5 space g a l l o n s

b.)
integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t equals 27 space g a l l o n s

c.)
integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t equals 29.5 space g a l l o n s

d.)
integral subscript 0 superscript 8 f left parenthesis t right parenthesis space d t equals 25 space g a l l o n s

Sagot :

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