Math 111: Quiz 7
October 22, 2010
Name:
Each problem is worth 5 points. Please use the quiz for your scratch work.
1 x x2
.
x 2x2 7
1. Find lim
2. Find the absolute maximum and absolute minimum of g (x) = x + sin x on the interval [0, 2 ].
3. Sketch the g
Math 111: Quiz 3
September 17, 2010
Name:
Each problem is worth 5 points. Please use the quiz for your scratch work.
1. Find the points at which the function f (x) is discontinuous, where f (x) is dened by
if x 0
1 + x2
2x
if 0 < x 2 .
f (x) =
(x 2)2 if
Math 111: Quiz 2
September 10, 2010
Name:
Each problem is worth 5 points. Please use the quiz for your scratch work.
1. Sketch the graph of a function f (x) satisfying all of the following conditions:
lim f (x) = 4,
x3+
2. Determine lim
x 1
2x
.
(x 1)2
li
Math 111: Quiz 1
September 3, 2010
Name:
Each problem is worth 5 points. You do not have to simplify your numbers. For example, .27 (400 117) +
24.5 would be an acceptable answer. When possible, simplify expressions involving x.
1. Find the domain of f (x
Math 111: Worksheet 1
Due November 19, 2010
Each problem is worth 2 points. Please attach any scratch work.
1. Find the following denite integrals:
1
1.
2
1
x
x2
dx
sin(x) dx
2.
3.
cos(x) dx
2. Find the derivatives of the following functions:
x2
3t2 cos(t
Math 111: Worksheet 2
Due December 1st, 2010
Name:
Each problem is worth 2 points. Please attach any scratch work.
1. (Section 6.1) Find the area of the following regions:
1. The region between y = 2x2 and y = 8x x3 in the rst quadrant.
2. The region betw
Math 111: Quiz 4
September 24, 2010
Name:
Each problem is worth 5 points. Please use the quiz for your scratch work.
1. Dierentiate V (x) = (2x3 + 3)(x4 2x).
2. If f (x) =
xg (x), where g (4) = 8 and g (4) = 7, nd f (2).
3. Find the derivative of F (z ) =
Math 111: Quiz 5
October 1, 2010
Name:
Each of the rst four problems is worth 5 points, the fth is worth 10. Please use the quiz for your scratch
work. You may work in a small group, but please write up and turn in your own copy of the quiz.
1. Find
dy
dx
Math 111: Quiz 10
December 3, 2010
Name:
Each problem is worth 5 points. Please use the quiz for your scratch work.
1. Find the area of the region between the curves y = x and y = x2 .
2. Find the volume of the solid formed by rotating the curve x = 2 y f
Math 111: Quiz 9
November 12, 2010
Name:
Each problem is worth 5 points. Please use the quiz for your scratch work.
1. Find the most general antiderivative of 5x1/4 7x3/4 .
2. Using the denition of area, give an expression for the area under the curve f (
Math 111: Quiz 8
October 29, 2010
Name:
Each problem is worth 5 points. Please use the quiz for your scratch work.
x + x3 + x5
.
x 1 x2 + x4
1. Find lim
2. Find an equation for the slant asymptote of y =
x2 + 1
. Do not sketch the curve.
x+1
3. Find the d
Math 111: Quiz 6
October 15, 2010
Name:
Each problem is worth 5 points. Please use the quiz for your scratch work.
1. Sketch the graph of a function that is continuous on [1, 5] and has an absolute maximum at 5, an absolute
minimum at 2, a local maximum a
Math 111: Pretest Worksheet
Due: August 27, 2010
Name:
This grading for this worksheet is based on completion. If you turn it in, you will get 5 points toward your
Quiz/Worksheet grade.
1. Find the equation of the line passing through the points (3, 7) an