PHYSICS 1050

 

MATH QUIZ #1

 

SEPTEMBER 15/16, 1999

 

INSTRUCTIONS:

  1. Hand in the question sheet with your answers.  (Put your name and lecture section on all submitted material.)
  2. No calculators, computers, human help, etc.
  3. Each question is worth 10.
  4. TIME: 50 minutes.

 

QUESTIONS:

 

  1. (a) Suppose that a person has set up camp at the north pole.  If the person walks the following route starting at the camp; 8 km south, 3 km east, 4 km north, how far from the camp will the person be? (Assume that the Earth is flat.)  (b) Repeat part (a), but do not assume that the Earth is flat.
  2. If , where K > 0 and n > 1.  Sketch F vs x, F vs xn, and log(F) vs log(x).  What information is obtained from each of the graphs?  Be specific.
  3. ?
  4. An object travels in a circular trajectory that has a diameter of 4 m.  From start to finish that change in the angle is 45O, how far has the object traveled?
  5. Solve for x and y for the following system of equations:

  1. Solve  for x.
  2. Solve for x if e3ln(x) = 8.
  3. Expand (a + b + c)2.
  4. How many kl-1 are there in 1 l-1?
  5. What is the Law of Sines?

 

PHYSICS 1050 HOME PAGE

 

PHYSICS 1050

 

MATH QUIZ #2

 

SEPTEMBER 29/30, 1999

 

INSTRUCTIONS:

  1. Hand in the question sheet with your answers.  (Put your name and lecture section on all submitted material.)
  2. No calculators, computers, human help, etc.
  3. Each question is worth 10.
  4. TIME: 50 minutes.

 

QUESTIONS:

 

  1. Find the factors of y2 – y z – 6 z2.
  2. If , where K > 0.  Sketch F vs x and log(F) vs log(x) for x > 0.  What information is obtained from each of the graphs?  Be specific.
  3. tan(165O) = ?
  4. 102log(5) = ?
  5. The volume of ball one is eight times the volume of ball two (V1 = 8V2).  What is the radius of ball one in terms of the radius of ball two?
  6.  = ?
  7. log4(32) - log4(2) = ?
  8. If , what are the dimensions of c and p, if E has dimensions of energy and m has dimensions of mass.
  9. How many kg-2 are there in 1 g-2?
  10. What is the Law of Cosines?

 

PHYSICS 1050 HOME PAGE

 

PHYSICS 1050

 

MATH QUIZ #3

 

OCTOBER 13/14, 1999

 

INSTRUCTIONS:

  1. Hand in the question sheet with your answers.  (Put your name and lecture section on all submitted material.)
  2. No calculators, computers, human help, etc.
  3. Each question is worth 10.
  4. TIME: 50 minutes.

 

QUESTIONS:

 

  1. If y= (5x + 1)(5x + 2)/5, for what values of x will y = 6/5?
  2. If F = K exp(-l x), where K > 0 and l > 0.  Sketch F vs x and log(F) vs x for x > 0.  What information can be obtained from each of the graphs?  Be specific.
  4. Solve for x and y given 2x + 3y + 4 = 0 and 5 + 6y + 7x = 0.
  5. The volume of a can of soup is nine times the volume of a second can of soup (V1 = 9V2).  If both cans have the same height, what is the ratio of their surface areas?  Assume that the cans are closed and that the height of the cans is twice the radius of the second can of soup.
  6. exp[1250 ln(1) + 3 ln(2) – ln(2-2)] = ?
  7. If a car is traveling at 72 km h-1, what is its speed in m s-1?
  8. If F = K exp(-l x), where K > 0 and l > 0.  What are the dimensions of F and l, if K has dimensions of force and x has dimensions of length?
  9. How many dm-4 are there in 1 cm-4?
  10. Simplify .

 

 

PHYSICS 1050 HOME PAGE

 

 
  Last updated: September 8, 2000.

  Direct any comments/suggestions to K. Vos