Math Quiz

6

Dr. K. Thengumthara QUIZ 2 Name:

MATH107 Fall 2019

INSTRUCTIONS:

· This quiz covers week 2 material and is worth 100 points.

· You must show all necessary work neatly to receive credit.

· The quiz is open book and open notes. This means that you may refer to your textbook, notes, and online course materials, but you must work independently and may not consult anyone.

· A brief honor statement is given below. Please sign it before you submit the Quiz. If you fail to sign the statement, your quiz will not be accepted. You may take as much time as you wish, provided you turn in your quiz as a single pdf document via LEO by 11:59 pm EDT on Sunday, October 20. Always check that the right document is uploaded properly.

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Honor statement:

I have completed this assignment myself, working independently and not consulting anyone.

Signature: _____________________

1. Find the distance d between the points (5points each)

(i) ( -5, 2) and ( 3, 9)

(ii) ( 3, 4) and (

2. Find the midpoint of the line joining (5points each)

(i) ( 6, and (-1, 4)

(ii)

3. State whether the graph below represents a function or not. Justify your answer. Write the domain n and range using interval notation. Write the x and y intercept of they if those exist. (15 points)

Function: Yes or No

Justification:

Domain (as interval):

Range (as interval)

X intercept:

Y intercept:

4. . Find the following. Simplify your answer. (6+ 4= 10 points)

(i)

(ii)

5. State the domain of the following functions. (5 Points each)

(i)

(ii)

6. An object is thrown upward from the top of 64foot building with an initial velocity of 48

feet per second. The height h(t) of the object after t seconds is given by the quadratic equation h(t)= −16t2+48t+64 where

Find h(0) and Solve h(t) = 0 and interpret each. (10 points)

(i) Find h(0) and interpret

Interpretation:

(ii) Solve h(t) = 0

Interpretation:

7. Use the pair of functions f (x) and g(x) to find . Simplify your answer. Write their domain. (6 points each)

(i)

Domain:

(ii)

Domain:

8. Find the difference quotient. Simplify your answer. (8points)

9. The marketing research department for a certain company that manufactures and sells notebook computers established the following price-demand function. (5points)

Where p(x) is the whole sale price in dollars at which x thousand computers can be sold. Write a revenue function R(x) for producing and selling x thousand notebook computers.

10. A company determines that the cost and revenue of a new vaccine can be modeled by the following functions: (5 points each)