Applied Calculus / Lin. Alg. – Assignment 6
Hand-write or word process a submission for this assignment and place it at the appropriate D2L Dropbox
location by the due date. Once you have completed your work on this task, you should scan your work and
format this scanned document as a PDF (in .pdf format), and place this newly-formatted document at the
Dropbox. You should place all of the correct processes and a correct solution for each problem, showing all
the pertinent details as to why you answered each problem in the way you did, within your document. Each
of the individual processes and solutions to each problem should be neatly organized, and you should not
leave out any minor or major details. Each problem is worth 5 points and partial credit may be awarded on
each problem.
1]
Suppose that an object is thrown down towards the ground from the top of the 1100-ft tall Sears
Tower with an initial velocity of – 20 feet per second (the negative velocity indicates that the object
is moving towards the ground). Given that the acceleration due to gravity of the object is a constant –
32 feet per second per second, determine how far above the ground the object is exactly six seconds
after being thrown.
2] The graph to the right shows the rate of
change in the temperature of a liquid within
an experiment over a period of several
hours. The temperature of the liquid at the
beginning of this experiment (at t = 0) is
46o F. Use all this information to answer
the questions that follow.
A] Propose a value for the following
definite integral and give an interpretation
8
for the result:
 f ( x)dx
6
B] At what hour shown at right will the
temperature of the liquid be at a minimum?
And, what is the minimum temperature?
C] What is the maximum temperature
attained by the liquid within the time
interval shown within the graph? If you
feel a maximum temperature cannot be
calculated, explain why.
3]
For the average person that is still growing, the rate of change in weight W (in pounds) with respect
dW
to height h (in inches) is approximately
 0.0015h 2 pounds per inch. Suppose that the average
dh
person that is 60 inches tall weighs 108 pounds. Find the weight of an average person that is 5 feet
10 inches tall.
4] The graph at left of function, f , is
drawn in such a way that each tick mark
represents one unit. Give your best
estimate for each of the following
quantities:
A] f (2)
B] f (3)
C] f (3)
4
D]
 f ( x)dx
2
4
E]
 f ( x)dx
2