Which of these numbers is closest to the Golden Ratio?
Selected Answer:
Correct
1.62
Answers:
1.16
1.29
Correct
1.62
1.98
Which of the following objects most closely resembles a Golden Rectangle?
Selected Answer:
Correct
3x5 inch index card
Answers
Suppose you want to know how often people brush their teeth every day, so you take a survey. Explain why the survey results would indicate far more gleaming smiles than actually exist. (In fact, such a survey would indicate about twice as much brushing as
You have a small bag of candy-coated chocolates that melt in your mouth; three are red, four are yellow, two are green, and five are blue. If you take a piece out of the bag at random, what is the probability it is green? What is the probability it is blu
The 21st century version of Lets Make a Deal has five doors instead of three. Two doors have cars behind them and the other three doors have mules. What percentage of doors have cars behind them?
Selected Answer:
Correct
40 %
Answers:
20%
60%
30 %
Cor
To win the jackpot of the Massachusetts lottery game in bygone days, you had to correctly pick the six numbers selected from the numbers 1 through 36. What was the probability of winning the Massachusetts lottery?
Selected Answer:
Incorrect
= .0000063
A
Pick a number from the following list: 1, 2, 3, 4. Write it down. If each student in a class of 50 were also to pick a number, how many would you guess had selected the same number as you did?
Selected Answer:
Correct
About 12 students
Answers:
Correct
Suppose you have a Golden Rectangle cut out of a piece of paper. Now suppose you fold it in half along its base and then in half along its width. You have just created a new, smaller rectangle. Is that rectangle a Golden Rectangle?
Selected Answer:
Corre
Suppose someone tells you that she has a triangle with sides having lengths 2.6, 8.1, and 8.6. Is this a right triangle? Why or why not?
Selected Answer:
Correct
No, it is not a right triangle.
Answers:
Yes, it is a right triangle.
Correct
No, it is
If you draw a card from a regular deck of 52 cards, what are the chances that your card would be red? A heart? A queen? The queen of hearts?
Selected Answer:
Correct
Red = 1/2; Heart = 1/4; Queen = 1/13; Queen of hearts = 1/52
Answers:
Red = 1/4; Heart
Suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle.
Selected Answer:
Correct
12 square inches
Answers:
3 square inches
8 square inches
Correct
12 square inches
20
17. Symmetric groups
Fix an integer n > 1, and let Sn be the set of all bijective functions
f : cfw_1, . . . , n cfw_1, . . . , n. As discussed in Lecture 10, Sn is a group
with respect to composition. The groups Sn are called symmetric groups,
and elemen
16A. Direct products and Classification of Finite Abelian
Groups
16A.1. Direct products.
Definition. Let G and H be groups. Their direct product is the group
G H defined as follows. As a set G H = cfw_(g, h) : g G, h H is just
the usual Cartesian product
16. Homomorphisms
16.1. Basic properties and some examples.
Definition. Let G and H be groups. A map : G H is called a
homomorphism if
(xy) = (x)(y) for all x, y G.
Example 1. Let G = (Z, +) and H = (Zn , +) for some n > 1. Define
: G H by (x) = [x]. The
18. Lagrange Theorem and Classification of groups of small
order
18.1. Lagrange Theorem and its immediate consequences.
Lagrange Theorem. Let G be a finite group and H a subgroup of G. Then
|H| divides |G|.
We will prove Lagrange Theorem next week. In thi
15. Isomorphisms (continued)
We start by recalling the notions of an isomorphism between groups and
the notion of isomorphic groups.
Definition. Let G and G0 be groups.
(a) A map : G G0 is called an isomorphism if
(i) is bijective
(ii) preserves group ope
1
Math 262 Calculus II Class Notes
Section 7.3 Tables of Integrals
The back cover of the book uses whats called a table of integrals. This is used to find formulas for
antiderivatives of commonly used functions. There are different variations of the table
Name: \lom WWW
Date: a (H [w
Birth of Modern Aviation: Heavier than Air Flight
l. Gliders and Propeller Airplanes.
gMS need li greater than. their own ,3 war to overcome gravity.
Earlypioneershadtosolvethreeproblems:
i _ \ V\ \i u? g; .
g 3 353g; LE \ \
History Of Flight
Testing Your Parachute
Name: Varun Venkatesh
Date: 10/22/16
To test your parachute, you will drop it from a given distance and time its descent. Then you will
use the drop height and descent time to calculate the descent rate, which is t
History of flight
Testing your Parachute
Name: Varun Venkatesh
To test your parachute, you will drop it from a given distance and time its descent. Then you will
use the drop height and descent time to calculate the descent rate, which is the amount of ti
Running Head: DA VINCI PARACHUTE PROJECT DESIGN PORTFOLIO
Da Vinci Parachute Project Design Portfolio
Dr. Kevin E. King
Rock Ridge High School
Varun Venkatesh
1
Running Head: DA VINCI PARACHUTE PROJECT DESIGN PORTFOLIO
2
Problem Statement:
In this project
PAPER ROCKET DESIGN
PORTFOLIO
VARUN VENKATESH
LCPSAerospace Science 1
Aerospace Science 1
Varun Venkatesh
Block 2
Design Project Portfolio
Problem Statement:
The project assigned requires all groups to design a rocket limited to a certain amount of
materi
l.
. Dene Buoyancy.
History ofight Name: gm WWSM
Lighter than Air Date: a l \Hb
Aviation History: Lighter than air science
Who discovered the main principle of buoyancy that allows balloons to oat? PW cuwt 3
1k: GENES cc \vxhuca h Roe): m mi O! at: u m di
Nm; 92! (Ida-90
Date: \ (HI \b
Fascination with Flight: Mythology and Legends
Oneoftherootcausesofthe socialproblemsisthatpeopledontthinkintermsofnngnicence
any more. They think in terms ofthe next meal. Well. the nextmed is inpomlnt But youve
got to feed
Varun Venkatesh
Aerospace Blog Entries
Dr. Kevin King
Blog Entries
Entries:
August 29th, 2016
In this class, I expect to have a lot of hands-on opportunities to study dynamic aerospace science.
Based on Dr. Kings introduction, it appears that succeeding i
SOLAR-POWERED
AIRCRAFT
BY VARUN VENKATESH
ARGUMENT
Q1: Why should we shift towards a solar-based aviation industry?
Q2: What are the pros/cons of using solar energy over jet fuels?
Q3: When can we expect a shift towards a solar-driven industry?
Q1: WHY SH
Running Head: PARACHUTE PROJECT DESIGN PORTFOLIO
Parachute Project Design Portfolio
Dr. Kevin E. King
Rock Ridge High School
Varun Venkatesh
1
PARACHUTE PROJECT DESIGN PORTFOLIO
2
Problem Statement:
In this project, the goal is to design and produce a syn