MA 137 - Calculus I for the Life Sciences
TEST 3 Solutions
Spring 2012
10-Apr-2012
1. Find where the following functions are increasing and decreasing.
(a)
f (x) =
x2
,
1 + 2x3
1
x = .
3
2
2x(1 + 2x3 ) x2 (6x2 )
f (x) =
(1 + 2x3 )2
2x(x3 1)
=
(1 + 2x3 )2
Math 137. Exam 1. February 5, 2013.
Name: E Y /
Circle Your Discussion Section:
>I< Section 1: 12:30pm in CF 201 With Ryan Curry
>l< Section 2: 2pm in PB 307A with Ryan Curry
>l< Section 3: 2pm in CP 345 With Wenwen Du
Instructions: Books, notes, ipods,
MA 137 - Calculus I for the Life Sciences Fa112013 Name' AllSON 63/
THIRD MIDTERM ' 11/19/2013 Sect. #:
Answer all of the following questions. Use the backs of the question papers for scratch paper.
No books or notes may. be used. You may use a calculato
MA - Calculus I for the Life Sciences
Final Exam Solutions
Spring
-May-
. Consider the fun ion dened implicitly near (2, 1) by x2 y 2 + 3xy = 10y.
(a) [ points] Use implicit dierentiation to nd the derivative at (2, 1).
d
x2 y 2 + 3xy
dx
dy
dy
+ 3y + 3x