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Quantitative Methods for Business & Management
Frank Dewhurst, UMIST, UK
Analysing models
Self-test Questions
1
The intercept is where the function crosses:
A)
the x-axis.
B)
the roots.
C)
the equator.
D)
the y-axis.
E)
the equation.
2
Which formula is used to find the roots of a quadratic function
(1.0K)
A)
(1.0K)
B)
(1.0K)
C)
(1.0K)
D)
(1.0K)
E)
(1.0K)
3
The turning point of a quadratic never lies between the roots of a quadratic function.
A)
TRUE
B)
FALSE
4
Differentiation can be used to find:
A)
The slope of a function.
B)
The turning points of a function.
C)
The roots of a function.
D)
A and B.
E)
A and C.
5
The turning points of y=f(x) occur when dy/dx=0.
A)
TRUE
B)
FALSE
6
The ________ is defined as (change in the dependent variable)/(change in the independent variable).
A)
Slope
B)
Turning point
C)
Area under the curve
D)
Differential
E)
Marginal
7
If
(1.0K)
then what is dy/dx?
A)
(1.0K)
B)
(1.0K)
C)
(0.0K)
D)
(0.0K)
E)
(0.0K)
8
Arc elasticity tells us the exact elasticity at a point on a function.
A)
TRUE
B)
FALSE
9
If demand is defined by a function of price as D = 120-(0.2)p, what is the price elasticity when p = 50?
A)
0.2
B)
-0.09
C)
0
D)
-1
E)
0.09
10
If at a point on a curve dy/dx=0 and
(1.0K)
is greater than 0 then the point is:
A)
a local minimum.
B)
where the slope crosses the y axis.
C)
a root of the function.
D)
a local maximum.
E)
a local point of inflection.
11
The slope
(1.0K)
has only one turning point, which is a minimum.
A)
TRUE
B)
FALSE
12
What is
(1.0K)
A)
(1.0K)
B)
(1.0K)
C)
3x+K
D)
(1.0K)
E)
6x+K
13
Definite integration helps us to:
A)
find the roots of an equation.
B)
find the elasticity of a function.
C)
find the value of the constant of integration.
D)
find the slope of a function.
E)
find the area between a curve and the x-axis.
14
If
(1.0K)
then what is
(1.0K)
A)
The turning point with respect to
(0.0K)
B)
The definite integral of y with respect to
(0.0K)
C)
The second order derivative of y with respect to
(0.0K)
D)
The first order partial derivative of y with respect to
(0.0K)
E)
The total derivative
15
If
(1.0K)
and
(3.0K)
then y has a local maximum.
A)
TRUE
B)
FALSE
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