Exam 2: Quadratic and Other Special Functions

The model for body-heat loss depends on the coefficient of convection K, which depends on wind speed v according to the equation where v is in miles per hour. Find the positive coefficient of convection when the wind speed is 29 mph. Round your answer to the nearest integer.

(Multiple Choice)

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Question 21

Find the exact real solutions of the equation , if they exist.

(Multiple Choice)

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Question 22

Graph the cubic function that models the data given in the table below.

(Multiple Choice)

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Question 23

Sketch the graph of the following function by using graphing calculator.

(Multiple Choice)

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Question 24

Sketch the graph of the function .

(Multiple Choice)

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Question 25

The supply function for a product is , while the demand function for the same product is . If a $22 tax is placed on production of the item, then the supplier passes this tax on by adding $22 to his selling price. Find the new equilibrium point E(q, p) for this product when the tax is passed on. (The new supply function is given by .) Round your final answer to two decimal places.

(Multiple Choice)

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Question 26

Write the equation in general form.

(Multiple Choice)

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Question 27

Suppose a company has fixed costs of $27,000 and variable costs of dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is dollars per unit. Find the maximum revenue. Round your answer to the nearest cent.

(Multiple Choice)

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Question 28

The supply function for a product is , while the demand function for the same product is . Find the market equilibrium point E(q, p). Round your final answer to two decimal places.

(Multiple Choice)

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Question 29

Solve the equation below using quadratic methods.

(Multiple Choice)

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Question 30

Given the profit function, , and that production is restricted to fewer than 75 units, find the break-even point(s). Round your answer to two decimal places.

(Multiple Choice)

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Question 31

Sketch the graph of the function .

(Multiple Choice)

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Question 32

Multiply both sides of the equation by the LCD, and then solve the resulting quadratic equation.

(Multiple Choice)

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Question 33

Sketch the first quadrant portions of the following functions and estimate the market equilibrium point. Supply: Demand:

(Multiple Choice)

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Question 34

By recognizing shapes and features of rational functions, sketch the graph of the function . Use a graphing utility to confirm your graph.

(Multiple Choice)

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Question 35

When a stone is thrown upward, it follows a parabolic path given by a form of the equation . If represents ground level, find the equation of a stone that is thrown from ground level at and lands on the ground 130 units away if the stone reaches a maximum height of 130 units.

(Multiple Choice)

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Question 36

Sketch the graph of the function .

(Multiple Choice)

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Question 37

The daily profit from the sale of a product is given by dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar.

(Multiple Choice)

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Question 38

Solve the equation by using the quadratic formula. Give real answers rounded to two decimal places.

(Multiple Choice)

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Question 39

An open-top box is constructed from a square piece of cardboard with sides of length 9 ft. The volume of such a box is given by , where x is the height of the box. Find the volume of the box if its height is 4 ft.

(Multiple Choice)

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Question 40

Showing 21 - 40 of 120

The model for body-heat loss depends on the coefficient of convection K, which depends on wind speed v according to the equation where v is in miles per hour. Find the positive coefficient of convection when the wind speed is 29 mph. Round your answer to the nearest integer.

Find the exact real solutions of the equation , if they exist.

Graph the cubic function that models the data given in the table below.

Sketch the graph of the following function by using graphing calculator.

Sketch the graph of the function .

Write the equation in general form.

Suppose a company has fixed costs of $27,000 and variable costs of dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is dollars per unit. Find the maximum revenue. Round your answer to the nearest cent.

The supply function for a product is , while the demand function for the same product is . Find the market equilibrium point E(q, p). Round your final answer to two decimal places.

Solve the equation below using quadratic methods.

Given the profit function, , and that production is restricted to fewer than 75 units, find the break-even point(s). Round your answer to two decimal places.

Sketch the graph of the function .

Multiply both sides of the equation by the LCD, and then solve the resulting quadratic equation.

Sketch the first quadrant portions of the following functions and estimate the market equilibrium point. Supply: Demand:

By recognizing shapes and features of rational functions, sketch the graph of the function . Use a graphing utility to confirm your graph.

When a stone is thrown upward, it follows a parabolic path given by a form of the equation . If represents ground level, find the equation of a stone that is thrown from ground level at and lands on the ground 130 units away if the stone reaches a maximum height of 130 units.

Sketch the graph of the function .

The daily profit from the sale of a product is given by dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar.

Solve the equation by using the quadratic formula. Give real answers rounded to two decimal places.

An open-top box is constructed from a square piece of cardboard with sides of length 9 ft. The volume of such a box is given by , where x is the height of the box. Find the volume of the box if its height is 4 ft.

Linear Equations and Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

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Exam 2: Quadratic and Other Special Functions

The model for body-heat loss depends on the coefficient of convection K, which depends on wind speed v according to the equation where v is in miles per hour. Find the positive coefficient of convection when the wind speed is 29 mph. Round your answer to the nearest integer. ​

Find the exact real solutions of the equation , if they exist. ​

Graph the cubic function that models the data given in the table below. ​

Sketch the graph of the following function by using graphing calculator. ​ ​

Sketch the graph of the function .

Write the equation in general form. ​

Suppose a company has fixed costs of $27,000 and variable costs of dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is dollars per unit. Find the maximum revenue. Round your answer to the nearest cent. ​

The supply function for a product is , while the demand function for the same product is . Find the market equilibrium point E(q, p). Round your final answer to two decimal places. ​

Solve the equation below using quadratic methods. ​ ​

Given the profit function, , and that production is restricted to fewer than 75 units, find the break-even point(s). Round your answer to two decimal places. ​

Sketch the graph of the function . ​

Multiply both sides of the equation by the LCD, and then solve the resulting quadratic equation. ​

Sketch the first quadrant portions of the following functions and estimate the market equilibrium point. ​ Supply: Demand: ​

By recognizing shapes and features of rational functions, sketch the graph of the function . Use a graphing utility to confirm your graph. ​

When a stone is thrown upward, it follows a parabolic path given by a form of the equation . If represents ground level, find the equation of a stone that is thrown from ground level at and lands on the ground 130 units away if the stone reaches a maximum height of 130 units. ​

Sketch the graph of the function . ​

The daily profit from the sale of a product is given by dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar. ​

Solve the equation by using the quadratic formula. Give real answers rounded to two decimal places. ​ ​

An open-top box is constructed from a square piece of cardboard with sides of length 9 ft. The volume of such a box is given by , where x is the height of the box. Find the volume of the box if its height is 4 ft. ​

Linear Equations and Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

The model for body-heat loss depends on the coefficient of convection K, which depends on wind speed v according to the equation where v is in miles per hour. Find the positive coefficient of convection when the wind speed is 29 mph. Round your answer to the nearest integer.

Find the exact real solutions of the equation , if they exist.

Graph the cubic function that models the data given in the table below.

Sketch the graph of the following function by using graphing calculator.

Write the equation in general form.

Suppose a company has fixed costs of $27,000 and variable costs of dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is dollars per unit. Find the maximum revenue. Round your answer to the nearest cent.

The supply function for a product is , while the demand function for the same product is . Find the market equilibrium point E(q, p). Round your final answer to two decimal places.

Solve the equation below using quadratic methods.

Given the profit function, , and that production is restricted to fewer than 75 units, find the break-even point(s). Round your answer to two decimal places.

Sketch the graph of the function .

Multiply both sides of the equation by the LCD, and then solve the resulting quadratic equation.

Sketch the first quadrant portions of the following functions and estimate the market equilibrium point. Supply: Demand:

By recognizing shapes and features of rational functions, sketch the graph of the function . Use a graphing utility to confirm your graph.

When a stone is thrown upward, it follows a parabolic path given by a form of the equation . If represents ground level, find the equation of a stone that is thrown from ground level at and lands on the ground 130 units away if the stone reaches a maximum height of 130 units.

Sketch the graph of the function .

The daily profit from the sale of a product is given by dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar.

Solve the equation by using the quadratic formula. Give real answers rounded to two decimal places.

An open-top box is constructed from a square piece of cardboard with sides of length 9 ft. The volume of such a box is given by , where x is the height of the box. Find the volume of the box if its height is 4 ft.