Mat ii 1100-3
Balenko V.
Nov(1Ith(I 12, 2015
Test 3
Name:
\/
UID
This is a closed hook ‘Ti’st. No hooks, laptops, or Irlessaging arc pcriiiittd. NO calculators
arc allowed. You have L problems, they arc equal ni weight. The entire CXIii is worth 15
points. For lull credits show all work! Box your auswer so it is easy to locate. You have
60 minutes.
GoOD LUCK!!!
1
1. I’i11(l J’
=
4 + 2)6)
hi((:r
/1
\
(4
)
2. Find y’.
y
=
(x
8
1og
1
C
-
—
3 + 4)
5x
-
\
-\
3. Fiiid
yj’.
=
(In
.)8
6. Suppose that a company’s sales volume y (in thousands of units) is related to its
advertising expenditures .r (in thousancs of dollars) according to the
following.
—
30.r + 6:q
0
Find the rate of change of sales volume with respect to advertising expeiiditiires when
6 (t liousand dollars).
=
2
c
ci
5
7. In this problem, p is in dollars and q is the number of units.
a) Find the elasticity of the (lenlaud function
2 +2p+q
p
64 at p= 7.
H) Tell what
‘
of claslicily this is: lout ary. elastic, or mimelastic.
eç
4. Find thc (lurivative of tlw function.
=
( )
(2.r
±
ln(5x)
.
-
5. Find dy/dx for the function.
2
cLç
-2x
2
+ 4y
—
7
0
4.
Evaluate the
integral.
(Use C for the constant of integration.)
J
LIy
xj
4
9. Evaluate the integral. (Use C for the constant of integration.)
/(4 + 8)d.r
/6
10. Evaluate
I lie integral.
(Use C
for
t lie constant
(JZ
3z + 2
3c2
S
\\\
of
iiitegratioii.
11. Ue a1gebra to
iewiite
the
ilItegl;II1(
1;
tIieii integrntv ull(l xiiiiphifv.
(Use C
for
the
constant of integratioli.
2
(5p
—
4) 2:.3 ii
xO1
6
(25
fi6X
5(25
)
_(
6
=
12. Evaluate the integral. Check your result by differentiation. (Use C for the consi ant
of integration.)
+
(x
2)
3)5 2.cd.r
=
s-i-i
3)&
13. Suppose
x is
the
that the marginal revenue for a product is given by the following, where
and revenue is in dollars.
iuiniber of units
MR=
(2x + 2)2
+32
Ii11(l the total revenue.
-
-
_32(2Y
cvS
/
(6
0
/sI
14. Evaluate the ilitegral. (1Jsc C for (1w
(OllSt;H11
((Ll
of
mtcgration.)
(LI
15. Evaluate the integral. (Use C for the constant of integration.)
fcix
3
-3x)
----
.4-c
e.
1.
2.
3.
4.
5.
6.
7.
9.
10.
11.
12.
13.
14.
15.
Total
10
10
I0
10
10
10
10
10
10
10
10
10
10
10
150
15