who can do it ?

User Generated

Yzguna

Mathematics

The Nature of Mathematics

Concordia University

Description

I uploaded all the requirements that you need , please check it out.

Unformatted Attachment Preview

Bonus Opportunities for CMTH 101 You may earn up to a maximum of 25 points over the course of the semester. Bonus opportunities are due by one week following the class lecture where the topic is covered (indicated in parentheses). 1. Explain the strategy for how Player 1 can win in Dodgeball if Player 2 makes one mistake. You should be prepared to play against your professor during office hours and explain the winning strategy. (5 pts) (Dodgeball lecture, first day) 2. Explain the Meanie Genie problem using 12 stones and 3 weighings where you don’t know if the diamond is heavier or lighter to your professor during office hours (10 pts) – (Meanie Genie lecture) 3. Write an original Fib poem with two stanzas, where each stanza works up to a line with 21 syllables. Your poem should describe some type of emotion, utilizing at least 3 of the 5 senses. (5 pts) – (Fibonacci Sequence) 4. Read one section of Euclid’s Window by Leonard Mlodinow. (You must preapprove the section you choose with your professor.) Write a one- to two-page summary of the key ideas of the section, connecting it to ideas covered in class. You need to bring your paper to your professor’s office hours to discuss with your professor, and you must submit a copy of this assignment to Blackboard. (5 pts) – (Geometry, Non-Euclidean Geometry) 5. Research and write down the details surrounding three historical elections or voting controversies not already discussed in class. At most two presidential elections, and at most one incident from a reality show vote (such as American Idol) should be included. Make sure any sources used are cited properly. You must also submit a copy of this assignment to Blackboard. (5 pts) – (Voting Theory). 6. Create your own voters’ ranking lists, including at least 9 voters and 4 candidates. Calculate all 8 voting methods’ winners for your rankings. Create your list so that each candidate should be the winner for at least one of the voting methods. Numerically support your answers. This must be typed and you must submit a copy of this assignment to Blackboard. (5 pts) – (Voting Theory) 1  ... . (You may not use the formula for a geometric series 7. Find the sum of 19  271  811  243 to determine the sum.) Explain your solution to your professor during office hours. (5 pts) – (Infinity) 8. Investigate two infinite series (not covered in class, nor the sum above) which have a finite sum. In at least one of your sums, the common ratio cannot equal the first term. Explain these two sums to your professor during office hours. (5 pts) – (Infinity) 9. Create a budget based on your future career and location you would like to live in. See your professor during office hours for specific instructions. (10 pts) – (Due on the final day of class) 10. Attend a Pi Mu Epsilon sponsored special speaker/event, and type up a summary of key ideas (5 pts) – Due within one week of the event. 11. Attend a local math conference or math related event with prior approval of instructor (assignment/points determined by details of the event) – Discuss with instructor; points assigned by instructor. 12. Other math problem or event suggested by the student with approval of instructor – Points and assignment determined by instructor. **NO EXTRA CREDIT opportunities will be collected during the Final Exams week.**
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Attached.

Bonus Opportunities for CMTH 101

Answer#1
Player 1 win against enemy if player 2 holds two balls at a time or player 2 hold a single ball
with a possession of more than 10 seconds. Also, hitting player 2 with the ball is not a single way
to win against him. If player 2 makes a mistake while throwing a ball, then the strategy for player
1 is that he can easily dodge player 2 by throwing a ball in specific direction so that he step out
of bound.
Answer#2
Make 3 groups of stones. Each group has 4 stones. For the very first time put 2 groups on the
balance scale. There will be 2 possibilities.
First Possibility:
One of the sides is heavier than the other. If so, take three stones from the heavier side, move
three stones from the lighter side to the heavier side, and place three stones that were not
weighed in the first run on the lighter side. (Keep in mind which stones are which.) There are
three outcomes:
a) A similar side that was heavier in the very first time is still heavy. This implies either the
stone that remained there is heavier or that the stone that remained on the lighter side is
lighter. Balancing one of these against one of the other ten stones uncovers which of
these is valid and this will solve the puzzle.
b) The side that was heavier in the first run through is lighter the second time. This implies
one of the three stones that went from the lighter side to the heavier side is the light stone.
For the third time, weigh two of these stones against each other: in the event that one is
lighter, it is the special stone; on the off chance that they balance, the third stone is the
light one.
c) Both sides are even. This implies one of the three stones that was taken from the heavier
side is the heavy stone. For the third time, weigh two of these stones against each other:
on the off chance that one is heavier, it is the special stone; in the event that they balance,
the third stone is the heavy one.

Second Possibility:
The two sides of balance scale are equal. If so, every one of the eight stones are indistinguishable
and can be put aside. Take the four outstanding stones and place three on one side of the balance.
Place 3 of the 8 indistinguishable stones on the opposite side. There will be 3 outcomes:

a) The three residual stones are lighter. For this situation you now realize that one of those
three stones are odd and that it are lighter. Take two of those three stones and weigh them
against each other. On the off chance that the balance tips then the lighter stone is unique
one. In the event that the two stones balance then the third stone not on the balance is
unique and it is lighter.
b) The three outstanding stones are heavier....


Anonymous
Nice! Really impressed with the quality.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags