MTH1014 Quiz 3

Fall 2013
Herbert J. Bernstein ( )

MTH1014 Quiz 3
Fall 2013

 		 

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This is quiz 3 to be taken by Tuesday, 1 Ovtober 2013. It should take you between half an hour and 2 hours to answer the following questions. You should do this quiz after doing the rest of assignment 2.

  <==== Do this AFTER you've answered all the questions

You probably DON'T want to do this ===>  

Please fill in the following information:

Name:


Email:

Skype ID:

Please answer the following questions on this form (or on a paper copy of this form).


  1. Carefully and in detail, give the formula for the distance between two points in the plane, and show the calculation for the distance between (-3,7) and (1,4)

  2. Carefully and in detail, give the formula for the coordinates of the midpoint of a line segment in the plane, and show the calculation for the midpoint between (-18,27) and (6,-5)

  3. Carefully and in detail, without actually drawing anything, just using words, explain how to graph an equation in two variables by plotting points

  4. Carefully and in detail, without actually drawing anything, just using words, explain what an x-intercept is, what a y-intercept is, and how to find the intercepts from a graph and how to find the intercepts from an equation.

  5. Carefully and in detail, without actually drawing anything, just using words, explain what it means to say that a graph is symmetric with respect to the x-axis, what it means to say that a graph is symmetric with respect to the y-axis, and what it means to say that a graph is symmetric with respect to the origin

  6. If a graph is symmetric with respect to the origin and contains the point (17,-28), (-3,3) and (-7,24), what additional points, if any, must it also contain?

  7. What are the intercepts of the equation x = y2 -2*y +1

  8. Carefully and in detail, without actually drawing anything, just using words, explain the meaning of the slope of a line.

  9. What is the slope of a line containing the points (1,1) and (9999,9999)?

  10. What is the slope of a line containing the points (1,-1) and (9999,-9999)?

  11. What is the slope of the line x = 7?

  12. Carefully and in detail, without actually drawing anything, just using words, explain the point-slope form of the equation of a line and as an ilustration compute the point-slope form of the equation of a line through (1,-1) and (-1,1)

  13. Carefully and in detail, without actually drawing anything, just using words, explain the standard form of the equation of a circle and as an illustation compute the standard form of the equation of a circle with center at (-100,3) and radius 5

  14. Carefully and in detail, without actually drawing anything, just using words, explain how to find the intercepts of a circle and as an illustration compute the intercepts of the circle with center at (10,11) and radius 9

  15. If the number of miles you can drive your car varies directly with the amount of gas you have and inversely with the total weight of the car and its load, and you know when the total weight of the car and its load is 3000 pounds you are able to go 180 miles on 6 gallons, when the total weight of the car and its load in 4500 pounds, how far can you drive on 10 gallons of gas?

  <==== Do this AFTER you''ve answered all the questions

You probably DON'T want to do this ===>  

Revised 8 September 2013