Student name:
Earlham College
Test 2
March 20, 2012
MATH 180: Calculus A
Spring 2012
Instructions:
Answer all questions on separate paper (not on this sheet!).
Solve all problems using algebra, exce
Student name:
Earlham College
MATH 180: Calculus A
Spring 2012
Test 1
February 7, 2012
Instructions:
Answer all questions on separate paper (not on this sheet!).
Solve all problems using algebra, ex
Student name:
Earlham College
MATH 180: Calculus A
Spring 2012
Test 3
April 24, 2012
Instructions:
Answer all questions on separate paper (not on this sheet!).
Solve all problems using algebra, exce
Makeup Quiz 10 - 4/17/2012
(I) Construct a Riemann sum to approximate the area under the graph of f (x) = sin(x) + x
on the interval x = /2 to 5/2, using n rectangles with right end-points. Final
resu
Quiz 9 - 4/03/2012
(I) Find all the critical points of the function f (x) = x2 ex .
No credit for correct answers only for correct steps & reason.
(II) Sketch the graph of a continuous function that h
Quiz 10 - 4/10/2012
(I) Find lim
+
x ln x. Show all steps.
x0
(II) Show that of all the rectangles with a given perimeter, the one wih the greatest
area is a square.
[This is part of Turn-in homework:
Quiz 8 - 3/27/2012
(I) Find the derivative of y = x sin x with respect to x and simplify.
(II) The graph shows the position s of
a particle as a function of time t.
Find the intervals where it is spee
Quiz 7 - 3/06/2012
(I) Let f (x) = x 2 sin x, 0 < x 2. Find the values of x at which the tangent to
f (x) is horizontal. Show steps and reasoning.
(II) If h(x) =
f (x), nd h (2) if you are given f (2)
Quiz 2 - 1/24/2012
2ex
.
Show steps.
1 2ex
(II) Suppose the function f (t) denotes the percent of poor people in the U.S. at time t
in years. Sketch a clearly-labeled graph of f (t) between the years
Quiz 5 - 2/21/2012
(I) Shown here is the graph of f (x), the derivative of some function f (x). Based on
this graph, answer the following questions (assume the graph continues to innity on
both ends i
Quiz 4 - 2/14/2012
(I) The graph of some function y = f (x) is shown below. Sketch the graph of f (x).
You may do this directly on the graph below. Include a short discussion to explain
and justify wh
Quiz 3 - 1/31/2012
(I) The graphs of f and g are given below. Use them to evaluate each of the following
limits (give a mathematical justication for your answers):
(a) lim [f (x) g(x)]
(b) lim [f (x)
Quiz 1 - 1/17/2012
(I) Sketch a graph of the function
2
if x < 2
x 2,
x + 4,
if |x| 2
f (x) =
2x + 4, if x > 2
Graph must be neat, approximately to scale, include detailed labels, and indicate
open/
Calculus: Mock final exam
Important Note: This mock test is not intended to be a template that your final exam will follow. The
purpose of this mock test is very simple: To give you the opportunity to