Maria rides her bike on the same route each day. The table shows the relationship between the days (d) Maria rides her bike and
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Answer:
Step-by-step explanation:
Consider the graphs of the and
.
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then
o
. Therefore the integration limits are:
and
The inverse functions are given by:
and
. Then
The volume of the solid of revolution is given by:
Let's get all of the distances lined up:
= home to office
to a restaurant
back to the office
= store
= back home
So then we just add up all of the numbers. However we need to make sure that there is a common denominator. Let's make the common denominator 12, since that is a common factor to all of the denominators in the problem:
= home to office
to a restaurant
back to the office
= store
= back home
Then let's add them up:
This does not reduce to a nice number, however, we can simplify to:
So then we just add up all of the numbers. However we need to make sure that there is a common denominator. Let's make the common denominator 12, since that is a common factor to all of the denominators in the problem:
Then let's add them up:
This does not reduce to a nice number, however, we can simplify to: