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MATH209- Midterm-AND- Solutions FALL-2018-1
Fundamental Mathematics II (Concordia University)
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Department of Mathematics and Statistics
Number
Course
All
Date
Examination
Pages
October 2018
Midterm
‘2
Course Examiner
TIME
1
Section(s)
209
Mathematics
A.
h 30 min
Kokotov
Special Instructions:
0
Only approved calculators are allowed
1. [12]
Find the limits
-
(B) limx_,1
(C)
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m
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a:
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2. [8]
A) Find the coordinates of all
of the function
the points of the graph
yzx4—8x2+l
where the tangent line is horizontal.
B)At what annual rate of interest compounded contin—
uously must money be invested to triple in 7 years?
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lOMoARcPSD|12846010
.
Find the derivatives of the following functions. DO
NOT SIMPLIFY.
[12]
_ $363.7;
(A) 1%1
(B) (22:4 +
(C)
111512;)
[6]
a:
.
+
+1)(—l—£
efi
= l,y
+
:
1
equation of the tangent line at the point
to the curve
29023/1
.
+ 3x3y =
5
Find the value of the differential dy at
change in x as 0.3, where
[4]
y
.
— 6*")
mam
Find the
(D) (lna:
_
.7:
a:
=
5 with
1
3
=l11($+)+IL'+1
a:
[4] A point is moving on the graph .233 + 43/5 = 12.
When the point is at (2, 1) its cit—coordinate is decreasing. Does the y—coordinate of the point decrease or
increase at that moment?
[4]
is
The total cost in dollars of producing
:1:
computers
= 6000 + 302: — 0.05:1;-2
(A) Find the total cost and the marginal cost at a
production level of 100 computers and interpret the
C(22)
results.
(B) Find the average cost and the marginal average
cost at a production level of 100 computers and interpret the results.
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