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Quiz __1__ Math 140 Calculus I Name _______________ Ms.
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HI , 

Quite a long time! could you please help me with the attached.Due Thursday.

The first PDF titled Math 140 fall 2016 quiz is to be completed.The second attachment please do question 7 and 9 only 




Quiz __1__

 


 

Math 140 Calculus I

 


 

Name _______________

 


 

Ms. Chowdhury

 


 

Fall 2016

 


 

Date ____________________

 


 

INSTRUCTIONS

 


 

The quiz is worth 35 points. There are 5 multiple choice (3 points) and 5 long answers (4 points, with

 

work)

 

1.)This quiz is open book and open notes, and you may take as long as you like on it provided that you

 

submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer

 

to your textbook, notes, and online classroom materials, but you may not consult anyone.

 

2.) You must show all of your work for the long answers to receive full credit. If

 

you do not show work, you may earn only partial or no credit at the discretion of the professor.Showing

 

work for the other questions is not mandatory, but recommended so that if needed I can see where your

 

mistakes were made.

 

3.) Please type or handwrite your answers on the provided answer sheet. You must show your written

 

work for #6-10 only on the answer sheet. Be sure to include your name in the document. Review

 

instructions for submitting your quiz in the Unit Quizzes Module.

 

4.) Finally, be sure to sign the honor statement. Without this your quiz may be invalidated.

 

If you have any questions, please contact me by e-mail.

 


 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Determine if the function is even, odd, or neither.

 

5x

 

1) y =

 

x2 - 9

 

A) Even

 


 

B) Odd

 


 

C) Neither

 


 

Find f(x) and g(x) such that h(x) = (f g)(x).

 

5

 

2) h(x) =

 

6x + 3

 

A) f(x) =

 


 

6x + 3, g(x) = 5

 


 

C) f(x) =

 


 

5

 

, g(x) = 6x + 3

 

x

 


 

B) f(x) = 5, g(x) =

 

D) f(x) =

 


 

1

 


 

6x + 3

 


 

5

 

, g(x) = 6x + 3

 

x

 


 

Find the domain and range.

 

14

 

3) f(x) =

 

14 - x

 

A) Domain: (- , 14) (14, ); Range: (- , )

 

C) Domain: (- , ); Range: (- , )

 


 

B) Domain: (- , 14) (14, ); Range: (- , 0) (0, )

 

D) Domain: (- , ); Range: (- , 0) (0, )

 


 

Solve the problem.

 

4) A power plant is located on a river that is 650 feet wide. To lay a new cable from the plant to a location in a city

 

2 miles downstream on the opposite side costs $200 per foot across the river and $150 per foot along the land.

 

Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P

 

directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x.

 

2 mi

 


 

650 ft

 


 

A) C(x) = 200 x2 + 6502 + 150(2 - x)

 

C) C(x) = 200 x2 + 6502 + 150(10,560 - x)

 


 

B) C(x) = 200(650 - x) + 150(2 - x)

 

D) C(x) = 150 x2 + 6502 + 200(10,560 - x)

 


 

5) If f(x) = 9x - 5 and g(x) = 3x2 + 2x - 6, find g(f(-3)).

 

A) 3002

 

B) -194

 


 

C) -166

 


 

D) 130

 


 

SHORT ANSWER. You must show all your work to receive full credit.

 

Find the slope and the y-intercept of the line.

 

6) 4y + 2x = 4

 

For the function f, construct and simplify the difference quotient

 


 

7) f(x) =

 


 

f(x + h) - f(x)

 

.

 

h

 


 

1

 

2x

 


 

Solve the problem.

 


 

8) If f(x) = 4x2 + 2x + 7 and g(x) = 2x - 4, find g(f(x)).

 

9) A deep sea diving bell is being lowered at a constant rate. After 10 minutes, the bell is at a depth of 300 feet.

 

After 50 minutes the bell is at a depth of 1400 feet. What is the average rate of lowering per minute? Round your

 

answer to the nearest tenth.

 


 

Write an equation for the line described.

 

10) Passes through (-5, 0) and (6, 8)

 


 

2

 


 

 







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