MATA32H3 Exam Solutions Fall 2018: Inverse Function, Quotient Rule, Power Rule
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University of Toronto at Scarborough
Department of Computer and Mathematical Sciences
MATA32F - Calculus for Management I
Examiners: R. Haslhofer Date: December 13, 2015
R. Grinnell Time: 2:00 pm
E. Moore Duration: 2 hours and 50 minutes
Provide the following information
LAST NAME (CAPITALIZE)
Given Name(s) (PRINT BIG)
Read these instructions
1. This examination has 12 numbered pages. At the beginning of the exam, check that all of
these pages are included.
2. If you need extra space for any question, use the back of a page or the blank page at the end
of the exam. Clearly indicate the location of your continuing work.
3. The following are forbidden at your work space: calculators, i-pads, smart/cell phones, all
other electronic devices (e.g. electronic translation/dictionary devices), extra paper, notes,
textbooks, opaque carrying cases, food, and drinks in paper cups/boxes or with a label.
4. You may write in pencil, pen, or other ink.
Do not write anything in the boxes below
1 2 3 4 5 6 7 8 9 10 TOTAL
16 15 16 15 14 11 16 17 14 16 150
The following may be helpful
dp/dq S=P(1 + r)nS=R(1 + r)n−1
Exam Instructions Write clear neat solutions in the answer spaces provided. Full points
will be awarded only if your solutions are correct, complete, and suﬃciently display appropriate
concepts and knowledge from MATA32F.
1. (a) Let f(x) = 2(5x). Calculate f(2)(1). [3 points]
(b) Let u(t)=3t2−6√tand u(1) = −4. Find u(4). [5 points]
(c) Assume Newton’s method is used to approximate the number √20 and let x1=4.
Calculate x2. [5 points]
(d) Let an eﬀective rate be reand let rbe the APR compounded quarterly that is equivalent
to re. Solve for rin terms of re. [3 points]