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.

Letâ€™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.

Letâ€™s first find the expression for :

### Step 2.

Letâ€™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 .