62140 Practice Test 1
(5) 1. Prove that sin 5 + sin 3 = 2 sin 4 cos
(5) 2. If tan x =
1
3
and sec y = 13
, where x and y lie between and
12
3
,
2
evaluate csc(x y)
(5) 3. Find all values of x [0, 2]
UNIVERSITY OF WINDSOR
Department of Mathematics and Statistics
Dierential Calculus 0362139/140
Fall 2014 Lab Assignment 11 Solutions
1. Verify that the function f (x) = px satises the hypothesis of
Differential Calculus
MTH 62140
Problems Related to Derivatives
1. Use the definition to find the derivatives of the following functions:
x2 + 3x, 1 + 2x, ex , ax , sin x, cos x, tan x, csc x, sec x,
Differential Calculus
MTH 62140
Problems Related to Functions
1. Find the domain of the following functions:
(a) f (x) = 8x + 9. Answer: R.
(b) f (x) = 2x2 + 8x 12. Answer: R.
(c) f (x) =
(d) f (x) =
Trigonometric Formulas
1. cos2 + sin2 = 1
2. 1 + tan2 = sec2 (Obtained by dividing (1) by cos2 )
3. 1 + cot2 = csc2 (Obtained by dividing (1) by sin2 )
4. sin(x + y) = sin x cos y + cos x sin y
5. sin
1
62140 Practice Test 2, Fall 2014
(7) 1. Give equation(s) of the horizontal asymptote(s) and vertical asymptote(s) of the following curve.
x2 4x + 4
(i) 2
x + 5x 14
2e2x + e2x
(ii)
2e2x 3e2x
(5) 2.
Differential Calculus
MTH 62140
Problems Related to Derivative Applications
1. Find the linear approximation L(x) to the following functions at a.
(a) f (x) = sin x, a = 0. Answer: L(x) = x
(b) f (x)
1
Differential Calculus
MTH 62140
Problems about Antiderivatives and Integrals
1. Find the most general antiderivative of the function. (Check your answer by differentiation.)
(a) f (x) = cos x + 2 s
Chapter 25: Protostomes
Characteristics of animals:

Multicellular eukaryotes
Heterotrophs
Store energy as glycogen and fat
Make collagen protein
Lack cell walls
Specialized cells and tissues
Motile
Chapter 44: Population Ecology
Population Characteristics:
1234567
Geographic range
Population size and density
Population dispersion
Age structure
Generation time
Sex ratio
Proportion reproducing
De
Chapter 23: Fungi
Present since at least 760 million years ago
Most likely aquatic ancestor
Fungi are heterotrophic eukaryotes that obtain carbon by breaking down
organic material synthesized by other
Chapter 46: Ecosystems
Ecosystem:
Energy flows through
Matter cycles around
Food Webs:
Grazing Food Web: Producer, Herbivore, and Secondary consumer in a trophic structure
Detrital Food Web: Decompo
Summary Questions for Chapter 22  Protists
1.
2.
3.
4.
5.
6.
7.
What are the characteristics that differentiate protists from prokaryotes?
What are the characteristics that differentiate protists fro
Molecular Biology; Week 6 (Feb.14)
gene evolution and alternative splicing
pseudogenes and genome content
gene evolution; genes be changed over time under the right selective conditions.
genes can
Molecular Biology March 4th, 2014
Personalized Genomics and Medicine
 Personalized genome sequencing is now a reality due to reduced cost
 Information is now available if we decided to get it what t
Molecular Biology Feb 13th, 2014
Final exam is NOT cumulative!
Pseudogenes
 Has a structure of a gene but it is not functional it looks like a gene, it has codes
and sequences to make it a marker for
Molecular Biology March 25th, 2014

Lab Exam will be online: 55213 Lab Exam during class time. It will be open
during 2:35 p.m on CLEW. We will have a window of time to complete the exam.
More infor
Molecular biology March 13th, 2014
Telomere function:
 Protect chromosome end from being degraded
 Allows the telemore to become extended (because every time the chromosome is replicated it gets
sma
Molecular biology March 18th, 2013

Human genome resources website for assignment
RNAs count
Geonmic sequence refseqgene easier to work with diagram shows all exons
If we click on GenBank CBS cDNA se
Molecular Biology Feb 25th, 2014
Every person has a unique collection of RFLPs and SNPs
 We have 6 billion letters in our genome and sometimes these letters are repeated.
 These are called repetitiv
Molecular Biology March 6th, 2014

The assignment will be posted this weekend and it will be due at the end of the
semester.
Lab final will be in the last week of classes all multiple choice
Lab exam
Week 9 Lecture 1 (Tuesday, March, 11th, 2014)
0:0011:02
USE THE WEBSITE HE GIVES US IN THE ASSIGNMENT INSTRUCTIONS, IT
PRETTY MUCH FINDS EVERYTHING
 he want the cDNA copy! (starts with ATG and ends
Molecular Biology Feb 27th, 2014
Species evolve more complex protein functions
 Increase number of genes lead to increased cell complexity and new protein
functions are added
 Mammals have evolved m
Molecular Biology March 20th, 2014
Fig 29.11
 Dosage compensation this is a type of epigenetics has to do with X
inactivation
 Dosage compensation is where we have different copies or different expr
20160107
Molecular Biology
 genes: DNA sequences that produce a functional RNA molecule.
 genomes: a set of chromosomes or DNA that makes up an organism.
 greatest scientific discovery of the las