applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
4.
:_
*"*
FaIi ?812
* , .*o*. *r=, Or*,
cfw_il!*itlrrdftdv!f,rrf *fillc*tiddla*s"t
S
o
I
vg eaehmf +#e4elktu*s
ffoblcms.
Problem l: Answer the following statements by true or false and iustityyourarrvser.
a.
L4 is
ari
s
b f isratlonal
.
E*.
;r,f*3.
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
Running Head: APPLICATION OF DIFFERENTIATION
Research Project:
Course Name:
Course Code:
Project Tittle: Application of Differentiation in Economics: Revenue and Sale Maximization.
APPLICATION OF DIFFERENTIATION
Introduction
In real life, businesses are a
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
11. Graph the following
quadratic functions.
Find the verrAy
ail the
@, I ;#;:
,
r
;:jlvH;
_
v i+^^,,
.,"0,",uf,r"*T;ffi,ipept,
and
b)h@)=_2,x2+4x_5
Po xinler.<pF
No \oLlrbn
* q ( z)
= (u)t
l'4 = 2q (O
\in[".cep[ (=o
(o)\ t(") .f,' = "'E
l(o,
pc
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
lr
The line is vertical and passing through
d)
(7,1)
o $eco.rse 4 h" (ir,. ts
v",.
k'cJ
[lsl Y q x.iS *r,cfw_
ln l.t .p[ on Xcrrrts in (+ro\
4lon is,. c1u*lton h *=?
[ir,e
*T[.
P".ra'
,
elThe line passes through (1,7)
ancfw_pTlle\o
the line passing
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
",
9' Suppose the demand for theatre tickets are 1000 tickets when the price
is at $5.00 per ticket
and 200 tickets when the price is at $15.00 per ticket. Find the
demand equation in terms ofp
(price) and q (quantity), assuming it is linear. Graph the de
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
4.Find the function values for the following piecewise function.
fqt+S I < I
h(r1=\f*,
h(4),h(r),h(o),h(3)
t>7
= (q\"+z = \8
hL,) 7 e(r)+6=\
*crco) 6"
h r") ,
+
[', ct\z e (:) r 6 cfw_Li
h
(ut
E
fee. Express the total cost
C
g
ion of
aEd
x
Cul =
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
t.
t
Math 150
Home Work
Name:
1
ID:
Chapter 2: (2.1,2.2,2.5), Chapter 3: (3.1, 3.2,3.3)
Class Section:
l.Evaluate the function at the indicated values.
f(x) =1x2 +3x*2
a)f(0),f(2),"f(*h)
b)
Find
=
3Co)
z + 3f
:
f@+h)f(x)
h
frxoh\=
fco.+ rr)
o) _ Z a 2
[
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
MATTOO
Name:
HomeWork 3
Chap 0:0.7 & 0.8
Class Section:
Solve each of the following equations.
t:i*t .D++.+
L. 5(3x+2)=lQ
l5I*to=lO
tErc. r lo lO
t6n =o
cfw_s
7.
?'2P
+6
l1f=!r .D P. F
\
F@xe
C>
3 / 15
2. x2 16:o
(*q)(x+u) s
XHo<llx+tcfw_
tl
o
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
a
Problem lV: Simplify each of the following.
.w2,s3., (l1* 36
a' I
=
v'z")'
a
,
2\?
bLt a
7
e b'*
*F.
3'"cfw_ =3: i
= (t=f)'n*
35
,/t
x
A
Z
Lt+
^ suL
,9
x.t"G
b
L

r.
7.*
F
tq
:
z.
t'o
2"
$u
Problem V: Rationalize the denominators.
!76 i
3
W37Z:
applied calculus for business economics and the social and life sciences
MATH 175

Spring 2016
8. Find an equation of a line in pointslope
form and in slopeintercept form that satisfies the
following conditions. Graph parts (a), (b), (c) and (d).
a)
x intercept:
8
and
y
intercept: 6
P.inL * dope
h ( tro) p" (o ,6\
yv13
*.
Slo
ll('rro1
9" t.