TABLE OF CONTENTS
Baruch College MTH 2003 – Final Test SP17 Overview
MTH 2003 is a precalculus course in Baruch College. MTH 2003 is a preliminary mathematics course students must take prior to starting the calculus as well as in quantitative courses in allied disciplines track. This course is a prerequisite for MTH 2205. Baruch College MTH 2003 Final Test has a calculator section. Therefore, the students are required to master TI 89 or TI 92 graphical calculator for this course.
To view the syllabus for Baruch College MTH 2003 CLICK HERE
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To view sample final exam questions for Baruch College MTH 2003 CLICK HERE.
Problem 1
Step 1.
Let’s take a look at the equation . We need to bring it to the form
.
Step 2.
Slopes of perpendicular lines are negative intercepts of each other (e.g. and
,
and
, etc.). Hence, the slope of the perpendicular line is
.
The answer is .
Problem 2
Step 1.
Let’s first find the expression for :
Step 2.
Let’s now plug f(x+h) in the formula of the difference quotient:
The answer is .
Problem 3
Step 1.
For a quadratic equation , the highest or lowest point occurs at its
.
For a given expression ,
Step 2.
To find the y-coordinate of the vertex, simply plug into the equation.
So the coordinates of the vertex is . The answer is
.
Problem 4
Equation of a circle with radius and origin
is
.
Step 1.
Rearrange the equation to move and
terms together.
Step 2.
Find the coefficients to complete the square for and
:
and
The answer is .
Problem 5
Step 1.
Take a look at the highest exponent of the top and the bottom.
The highest exponent of the numerator is
.
The highest exponent of the denominator is
.
Since the exponent of denominator is higher, the horizontal asymptote is . The answer is
.
Problem 6
Step 1.
The revenue function is
Step 2.
To find the number of items that will maximize revenue, take the first derivative
Step 3.
Set the denominator to and solve for
The answer is .
Problem 7
Step 1.
Find the first derivative of
Step 2.
Set the first derivative to and solve for
.
Step 3.
Plug into the original function to find the y-coordinate
The point is . The answer is
.
Problem 8
Step 1.
Find the first derivative of using quotient rule
and
and
Plug values into the formula:
Step 2.
Plug in to find
The answer is .
Problem 9
To find the equation of a line tangent, follow the 4-step process:
Step 1.
Find
Step 2.
Find
Step 3.
Find
Step 4.
Find the equation of the tangent line by plugging into the following formula:
Problem 10
In this problem we have to look at the multiple choice answers first. There are points mentioned:
For , the slope of the function would be negative. Therefore,
and option
is incorrect.
For , the slope of the function would be negative. Therefore,
and option
is correct, while option
is wrong.
It is still a good idea to double check that other options do not apply.
For , the slope of the function would also be negative. Therefore,
and option
is incorrect.
The right answer is .