SCRIBE MANG

1. Content!

2. Question 1.

3. • We start by listing all of the
given information

4. • We divide diameter by 2 to
get the radius
• Notice that the units for are
different for each piece of
information (feet and inches)
• We divide the number of
inches by 12 to convert the
radius into units of feet

5. • Now with all of our
variables listed, we find the
relationship between them
according to that of a
sphere

6. • Next we differentiate
implicitly with respect to time
followed by inputting the given
information

7. • Solve for dr/dt and
complete with a
sentence answer
• Include units of
measure

8. *Side note: Some general volume equations for
solids that should be known

9. Question 2.

10. • We start again by listing
the information given

11. • Find the relationship
between the variables. In
this case, it is the
circumference formula

12. • Now we differentiate implicitly with chain rule
with respect to time and input the variables listed
• Solve for dC/dt

13. • Finish with a
sentence answer and
include appropriate
units of measure

14. Question 3.

15. • Start by drawing out a diagram
and listing all given information

16. • Note that the two
triangles are similar and
therefore, we can find
an expression for ds/dt
using the idea of
proportionality
• Solve for ds/dt, the
rate at which the
shadow is increasing in
length

17. • Now, with an
expression relating
the distances x and
s, we differentiate
implicitly with
respect to time and
solve for the rate
at which the tip of
the shadow is
moving

18. Bonus Question!
Just some extra practice =)

19. • List all given information
• Note that to find the
distance travelled at 1
minute, multiply the rate by
time (in seconds)
• Now, find the relationship
between the distances

20. • Next we differentiate
implicitly using chain rule
with respect to time and
solve for dd/dt, the rate at
which the distance between
the girls is increasing

21. • Finish with a
sentence answer and
include the
appropriate units! =)

22. DONEDONEDONE! =)