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# MATA32H3 Exam Solutions Fall 2018: Maxima And Minima, Coefficient, Inverse FunctionExam

Department
Mathematics
Course Code
MATA32H3
Professor
All
Study Guide
Solutions

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University of Toronto at Scarborough
Department of Computer and Mathematical Sciences
FINAL EXAMINATION
MATA32F - Calculus for Management I
Examiners: R. Buchweitz Date: December 8, 2014
R. Grinnell Time: 9:00 am
Duration: 3 hours
Provide the following information:
LAST NAME (PRINT BIG):
Given Name(s) (PRINT BIG):
Student Number:
Signature:
1. This examination has 13 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.
Print letters for the Multiple Choice Questions in these boxes:
1 2 3 4 5 6 7 8 9 10
Do not write anything in the boxes below.
A1 2 3 4 5 6 7 8 TOTAL
30 16 15 16 13 16 16 13 15 150
1

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η=p/q
dp/dq S=P(1 + r)nS=R(1 + r)n1
rA=R1(1+r)n
r
re=1+ r
nn
1
n
k=1
k=n(n+1)
2
n
k=1
k2=n(n+ 1)(2n+1)
6
Part A (Multiple Choice Questions) For each of the following, clearly print the
letter of the answer you think is most correct in the boxes on the ﬁrst page. Each right
1. If h(x)=2x+ 7 and h(1) = 8 then h(3) equals
(A) 2/3(B)28/3 (C) 16 (D) 2/3 (E) none of (A) - (D)
2. If u=(4x2+1)
1/2then du
dx equals
(A) 4xu3(B) 4xu3(C) 2xu3(D) 4xu3/2(E) 4xu3
3. Given an eﬀective rate re, the equivalent nominal rate of rcompounding quarterly is given by
(A) 44
1+re(B) 34
1+re1(C) 44
1+re1(D) 44
1re+1
2