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### ex1

Course: M 232, Fall 2009
School: Christian Brothers
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Word Count: 330

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1 EXAM Math 232 July 20, 2007 Name 1. Are the lines defined by x=2+t x=1- s y=3-t and y=3-4s z=1+3t z=-2- s parallel? Perpendicular? Do they intersect? 2. Write the equation of the plane which contains the three points (3, 1, 0), (2, 0, 0) and (4, 2, 1). - - - 3. Let = 1, 0, -3 , b = 3, -1, 2 and = -2, 3, -2 . Find: a c - - - (a) + 2 - b a c - - (b) b a - (c) The vector of magnitude 4 that...

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1 EXAM Math 232 July 20, 2007 Name 1. Are the lines defined by x=2+t x=1- s y=3-t and y=3-4s z=1+3t z=-2- s parallel? Perpendicular? Do they intersect? 2. Write the equation of the plane which contains the three points (3, 1, 0), (2, 0, 0) and (4, 2, 1). - - - 3. Let = 1, 0, -3 , b = 3, -1, 2 and = -2, 3, -2 . Find: a c - - - (a) + 2 - b a c - - (b) b a - (c) The vector of magnitude 4 that points in the same direction as b . 4. A constant force of 60, -30 pounds moves an object in a straight line from the point (0, 0) to the point (10, -10). Compute the amount of work done. 5. A person is paddling a kayak in a river with a current of 1 ft/s. The kayak's speed in still water would be 4 ft/s. Find the vector which describes the direction the kayaker should take in order to proceed straight across the river. What is the kayak's actual speed? 6. Find the intersection of the 2x planes - y - z = 4 and 3x - 2y + z = 0. 7. Write the equation of the plane which contains the points (1, 0, -1), (-1, 2, 3) and (2, 1, 1). Now determine whether the plane you just found is perpendicular to the plane 7 = 2x-3y +z - 8. Find all values of t for which (t) = r t2 + 1, cos (t), e-3t - find (t). r is a continuous function. Now 9. Find t1 lim t+1 t - 1, t2 + 3, t-1 if the limit exists. If it does not exist explain why not. 2 10. Find 0 4 , et-2 , tet t+1 dt 11. Suppose a projectile is launched from a point 12 ft ...

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Christian Brothers - M - 106
EXAM 1 Math 106 August 31, 2006 Name You must show all your work. Partial credit will be given. 1. Let y 2 = 9 - x2 . Does this equation describe a function or not? Explain. (7 pts)2. C(t) is the value of cotton exports in millions of dollars t yea
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QUIZ 6 Name 1. Find the area of the region bounded below by the line -3x + y = -6, above by y = -x 2 + 4 and by x = 0 and x = 22. Take the region bounded by y = ex , y = 0, x = 0, x = 1 and rotate it about the line y = 3. Set up the integral needed
Christian Brothers - M - 132
QUIZ 6 Name 1. Find the area of the region bounded below by the line -3x + y = -6, above by y = -x 2 + 4 and by x = 0 and x = 22. Take the region bounded by y = ex , y = 0, x = 0, x = 1 and rotate it about the line y = 3. Set up the integral needed
Christian Brothers - M - 106
EXAM 1 Math 106 August 31, 2006 Name You must show all your work. Partial credit will be given. model). 1. A Clothing rm has a xed cost of \$30,000 per year. To produce x units of a certain kind of suit it costs \$25 per suit. The company determines th
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Math 151 Spring 2007 Section 1, TR 5:45-7:10pm Science 107Professor: PHONE: Home Page:Andrew Diener 3213452 http:/www.cbu.edu/adienerEMAIL ADDRESS: adiener@cbu.edu OFFICE: OFFICE HOURS: 103F Science 1pm-5pm MTWR.TEXT: Mathematics for Elementa
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EXAM 3 Math 105 December 12, 2006 Name You must show all your work. Partial credit will be given. 1. The following table shows the amounts spent on reducing sizes of rst-grade through thirdgrade public school classes in a certain state. Year 1988 199
Christian Brothers - M - 105
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Christian Brothers - M - 105
QUIZ 7 Name 1. Graph the system of inequalities on the axes below. Is your region bounded? Find all the corner points of the region. 2x+3y 3x+7y x, y 12 21 . 0987654321-4-3-2-1 -11234567891011-2-
Christian Brothers - M - 117
QUIZ 5 Name 1. Solve the system of equations 3x-y=-1 -2x+3y=172. Consider the two functions f (x) = (x - 3)2 and g(x) = (a) f (1)x + 3. Find(b)g(3)(c)g f (x)(d)g f (4) x2 + 1 find the domain. x2 - 13. For the function f (x) =
Christian Brothers - M - 101
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Christian Brothers - M - 101
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Christian Brothers - M - 105
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Christian Brothers - M - 105
QUIZ 3 Name 1. Find the slope and the x-intercept of the line 2x + 3y = 7.2. Do the row operations needed to put the following matrix into nal form and then write down the solutions (if any exist) to the system represented by the matrix. 1 0 0 2
Christian Brothers - M - 106
QUIZ 3 Name 1. Find lim x2 6x + 9 . x3 x32. The table shows the projected number of homes with a cable system oering internet access. Year 1998 1999 2000 2001 2002 2003 2004 2005 Homes (millions) 19.1 29.0 39.0 45.4 51.8 57.3 62.8 67.4Find a LN
Christian Brothers - M - 232
EXAM 3 Math 232 April 30, 2007 Name 1. Locate and classify all critical points for the function xye -x2 -y 22. Find the absolute extrema of the function f (x, y) = x 2 + y 2 - 2x - 4y on the region bounded by y = x, y = 3 and x = 0.3. Compute a
Christian Brothers - M - 105
QUIZ 2 Name 1. Find the x-intercept and the y-intercept of the linear function y = 5x + 10.2. Write the augmented matrix needed to solve the system of equations: (do not solve) 9x - 8y - 7z = 7 7x - 5y + 3z = 1 5x - 3y + z = -23. Solve the
Christian Brothers - M - 105
QUIZ 3 Name 1. Find the slope, x-intercept and y-intercept for the line 2x - 5y = 72. Solve the system of equations y = -4 3x 3x + 4y = 21 x + y = 16/33. Reduce the matrix 1 3 1 2 2 -3 1 3 -5 1 2 7 to its final form and calculate the so
Christian Brothers - M - 06
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Christian Brothers - M - 132
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