L-8
Digestion and Decomposition
Continuing along the food chain, we now pass plant and animal components along to various consumer organisms. Most food molecules are
quite large, and must be made smaller for easier management in the consumer. Whether we c
AndreThompson
10Jun16
Bio1010
use of the instrument.
1. Obtain a microscope from the shelf, carrying it with both hands. It may be
heavy.
2. At your lab space unwind only as much cord as needed to plug it in. Find the
light
switch and turn on the light.
3
M-9
Lot
s
an
d
Lot
s
of
Cel
ls
In both sexual and asexual contexts, several processes contribute to an organisms
development:
cell division producing new cells to allow for increase in body size;
cell growth individual cells enlarging to mature size aft
L-12
Participating in the Carbon Cycle
From our knowledge of the carbon cycle we have the general understanding
that producers use carbon dioxide and consumers exhale it in a convenient exchange. To take this a step further, we might inquire of the variab
L-1
Molecules on the Move
Understanding life processes requires some understanding of the characteristics
of lifes chemical components. How can we learn about molecules, considering that
they are invisible to us? With a few careful observations and some b
L-11
Burning
Food molecules are essentially packages of the suns energy. Once digested, they are available to the consumer as a source of energy. Liberating that energy in a useful form is the next biological challenge for that
consumer.
Oxidation Conside
Andre Thompson
BIO 1010
June 19th 2016
M-11
The Cell as a Factory
We often use analogies when referring to the control of a cell, saying
simply that the nucleus is the headquarters and that the chromosomes are a library of information for cell activity. S
Calculus 1
Lia Vas
Concavity and Inflection Points. Extreme Values and The
Second Derivative Test.
Consider the following two increasing functions. While they are both increasing, their concavity
distinguishes them.
The first function is said to be concav
Second Derivative Test
1. The Second Derivative Test
We begin by recalling the situation for twice dierentiable functions f (x) of one variable.
To nd their local (or relative) maxima and minima, we
1. nd the critical points, i.e., the solutions of f (x)
1
Relative maxima, relative minima and saddle points
The developments of the previous section (Multivariate Calculus (part 1) are helpful in studying
maxima and minima of functions of several variables. We restrict our attention here to functions
f (x, y)
Algebra
Algebra is the foundation of calculus. The basic
idea behind algebra is rewriting equations and simplifying expressions; this includes such things as factoring, FOILing (i.e., (a+b)(c+d) = ac+ad+bc+bd),
adding fractions (remember to get a common d
Cross product
Cross product, denoted with , gives a way to
multiply vectors together and get a new vector, i.e.,
(vector)(vector)=(vector). But there is a big catch,
namely it only works in three dimensions (conveniently though we live in three dimensions
Coordinate systems
There are three main ways to describe a point in
space. We have already discussed the Cartesian coordinate system (also known as rectangular coordinates). The other two are generalizations of polar coordinates in the plane, so before ju
Applications of Greens Theorem
Let us suppose that we are starting with a path C
and a vector valued function F in the plane. Then as
we traverse along C there are two important (unit)
dy
vectors, namely T, the unit tangent vector h dx
ds , ds i,
dy
dx
an
Math 131 Spring 2013
CHAPTER 1 EXAM (PRACTICE PROBLEMS - SOLUTIONS)
1
Problem 1. Many apartment complexes check your income and credit history before letting you
rent an apartment. Let I = f (r ) be the minimum annual gross income, in thousands of dolla
Jacob Johnson
Math 910 WA
WPSA #3
1. Do problem # 48 on page 133 in the text book. Make sure you write the word problem out above the
answer and show all work.
$102,670
2. Do problem # 32 on page 140 in the text book. Make sure you write the word problem
1) We all know that computers can crash, that is one of the many reasons
you should never wait until the last day to do the homework in Labs Plus or
take a quiz or test. Please tell me what your 'back up' plan is, if you are doing
the homework or taking a
The 4 things I must do to achieve a P is
1.
2.
3.
4.
Score 80% or better on every test
Have no more than 4 retakes on tests
Post at least 4 times to the discussion
Have a combined average of 80% or better on the WPSAs, homework and quizzes
3572 71 Is 5 wi