June 21, 20XX

While I wait for Mario and Sonic make and determine their next move; I have decided to check out on the halls that are hung with more souvenirs and memorabilia.

Majority of them seem to be advertisements of sorts. In the meanwhile, I wrote down the key sentences and quotes that popped out to me in where I wish to inquire more about it:

"The objective is to navigate various golf courses, each with its own unique challenges and obstacles!"

"It allows players to explore their creativity by creating artwork and it is designed to provide a fun and interactive experience for children, allowing them to express their artistic abilities and imagine various professions!"

"The objective of the game is to juggle different objects, such as balls and bombs, challenging as players aim for higher scores and try to beat their own records!"

"Yoshi needs to strategically align and match the enemies"

"The game incorporates interactive lessons, typing games, and feedback to help players improve their typing speed and accuracy while having fun!"

"With rail shooters where players shoot at targets or enemies to puzzle games where they must hit specific targets within a time limit. The Super Scopes offers a variety of gameplay experiences for players!"

"This provides a range of drawing tools, stamps, and effects to bring imagination to life. Additionally, the game features a simple music composition mode where players can compose their tunes using various Mario-themed sounds and melodies!"

"Players can choose from a selection of characters and compete in go-kart races across colorful and imaginative tracks. The game offers various power-ups and weapons that players can use to gain an advantage over their opponents or hinder their progress!"

"Mario as he embarks on a quest to reclaim the castle from Wario"

"Mario and Yoshi decide to open a bakery together. However, the mischievous Bowser, along with his Koopa minions, invade the bakery and steal all the cookies. It's up to Yoshi to retrieve the stolen cookies and restore peace to the bakery!"

"Mario, Luigi, Princess Peach, and Toad compete against each other in a variety of vibrant race tracks"

"King Bowser, who has hatched a nefarious plan to kidnap Mario and imprisoned him. Luigi, Mario's younger brother, embarks on a mission to rescue Mario by exploring various cities around the planet"

"King Bowser is once again up to no good as he steals various historical artifacts!"

"Mario and Luigi as they navigate through various levels, defeat enemies, and rescue Princess Peach from the clutches of the evil Bowser!"

"Mario and Yoshi rescue Princess Peach from King Bowser, who has stolen a magical gem"

"Mario, Princess Peach, and Yosh reach their destination safely by manipulating the environment, such as removing blocks or placing directional arrows, while avoiding obstacles and enemies"

"Wario, Mario's greedy and mischievous rival discovers a magical treasure map and embarks on a journey to find a castle filled with riches"

"Mario, who must traverse through various hotels to rescue Princess Peach from the clutches of Bowser"

"The objective is to reach the key that unlocks the cage while avoiding enemies and solving environmental puzzles along the way. The game combines both platforming and puzzle-solving elements to create an engaging gameplay experience!"

"Players engage in interactive exercises, such as matching uppercase and lowercase letters, spelling simple words, and identifying letter sounds!"

"Players will solve puzzles, complete number patterns, learn about simple addition and subtraction, and practice counting and recognizing numbers!"

"Players engage in a range of activities designed to enhance their cognitive abilities, problem-solving skills, and creativity. Children participate in exercises like shape recognition, color matching, pattern completion, and basic puzzles!"

"Players can enjoy updated graphics and improved gameplay mechanics as they embark on various platforming adventures!"

"Mario and Luigi, along with their dinosaur companion Yoshi, venture through the colorful Dinosaur Land to rescue Princess Peach from the clutches of the villainous Bowser and his Koopalings"

"Players must arrange falling blocks to create complete horizontal lines and prevent the stack from reaching the top"

"A puzzle game that revolves around solving picture-based logic puzzles known as picross. Each puzzle is represented by a grid with numbers on its rows and columns, indicating the sequence of filled blocks in each line. Players must use logical deduction to determine which blocks should be filled and which should be left blank, ultimately revealing a hidden picture!"

"This game features the same gameplay as the original but with some added features and a time limit"

"Players can engage in intense tennis matches, utilizing different shots and strategies to outplay their opponents and achieve victory on the virtual court!"

"Yoshi as he traverses through various levels, overcoming obstacles, defeating enemies, and collecting items. Yoshi possesses special abilities such as flutter jumps, egg throwing, and swallowing enemies to transform them into eggs for offensive or puzzle-solving purposes"

"This game here provides a lighthearted and family-friendly atmosphere as players engage in strategic gameplay!"

"This game features a range of difficulty levels and offers a tutorial mode to guide players who may be unfamiliar with picross puzzles!"

"This game features different modes and levels of difficulty, challenging players to strategize and make quick decisions within the time limit!"

"Diddy and Dixie encounter other friendly Kongs who provide assistance and guidance. They also face off against powerful bosses in thrilling battles, ultimately leading them closer to their goal of rescuing Donkey Kong"

"Mario teams up with his friends, including Princess Peach to save the Mushroom Kingdom from the evil Smithy Gang"

"Mario returns the stolen artifacts to their rightful places"

"Players can engage in activities like counting, letter recognition, matching games, and more, all presented in a fun and interactive way!"

"Mario discovers that Bowser has kidnapped Peach and trapped her within the castle's walls. To rescue the princess, Mario must collect Power Stars by completing various challenges and navigating through different themed worlds within the castle"

"Diddy Kong and his girlfriend Dixie Kong as they set out to rescue Donkey Kong, who has been captured by the villainous King K. Rool"

"Players must use logical deduction to determine the correct placement of blocks and reveal a hidden picture!"

"Mario, Luigi, Peach, and Bowser, among others compete in various colorful and whimsical kart races"

"Mario embarks on a platforming adventure to rescue Princess Peach from Bowser's clutches"

"Players learn to type by completing various typing exercises and games!"

"This game offers different mini-games with various objectives, such as catching falling objects, avoiding obstacles, or juggling!"

"Dr. Mario with other certified medical staff"

"Players can perform daring stunts, jump over obstacles, and use power-ups scattered throughout the tracks to gain an advantage over their opponents. The power-ups include familiar items such as shells and mushrooms, which can be used strategically to hinder rivals or boost the player's speed!"

"This game provides users with a variety of creative tools to express their artistic talents. Players can use controllers to draw, paint, and create animations using a wide selection of brushes, colors, and stamps. The game also offers musical features, allowing players to compose their own tunes and sound effects!"

"This game offers two main modes: "Game A" and "Game B." In "Game A," players can select and play individual games, aiming to achieve high scores and beat their personal records. Each game has its own unique objective, such as catching falling objects or avoiding obstacles, and players must use their reflexes and timing skills to succeed"

"The objective is to interact and care for your Tamagotchi, ensuring it remains happy and healthy"

"Yoshi rescues the missing Super Happy Tree, which has been stolen by Baby Bowser, and restore happiness to Yoshi's island"

"Mario and Luigi as they demolish buildings and clear obstacles"

"Players assume the role of a young detective who is investigating a mysterious murder case. The story unfolds through a series of visual novel-style conversations, exploration, and puzzle-solving. Players must gather clues, interview suspects, and unravel the truth behind the murder to bring the culprit to justice!"

"Players can use this to create their artwork. While it doesn't have a specific plot, the game provides a platform for players to express their creativity and design unique images!"

"Take turns rolling a dice to move around the board. Each space on the board triggers a different event or mini-game, where players compete against each other to earn coins and stars!"

"Mario and Luigi with others founding the Super Smash Club due to the continuous warfare. Donkey Kong, Link, Samus Aran, Yoshi, Kirby, Fox McCloud, Pikachu, Captain Falcon, Ness, and Jigglypuff are in attendance"

"Mario mentors Sonic, who later gains valuable allies against his new-founded enemy. Sonic the Hedgehog sets out on a quest to save his animal friends and defeat the evil Dr. Robotnik"

"Sonic teams up with his new sidekick, Tails, as they embark on an adventure to stop Dr. Robotnik once again. Together, they must collect Chaos Emeralds and defeat Robotnik's forces"

"Sonic and Tails reunite to thwart Dr. Robotnik's plans. They must traverse through different zones, collecting rings, Chaos Emeralds, and freeing animals captured by Robotnik"

"Sonic travels through hardships to rescue Amy Rose and prevent the evil Metal Sonic"

"Sonic and Tails team up once again to stop Robotnik from obtaining the Chaos Emeralds and ruling the huge continent of Mobius"

"Sonic and Tails continue their adventure as they join forces with Knuckles the Echidna to stop Robotnik's plan of launching the Death Egg"

"Sonic and Knuckles join forces to stop Robotnik and his plan to launch the Death Egg once again"

"Sonic and Tails team up to retrieve the Chaos Emeralds, which have been stolen by Dr. Robotnik and his henchmen, lead by Fang the Sniper"

"Knuckles and the Chaotix team (Vector, Espio, Charmy, and Mighty) unite to save their friends who have been captured by Metal Sonic"

"Sonic and Knuckles team up to retrieve the Chaos Emeralds, which have been stolen by Dr. Robotnik and Knuckles' arch-nemesis, Fang the Sniper otherwise known as Knack the Weasel"

"Sonic embarks on another adventure to stop Dr. Robotnik from collecting Chaos Emeralds and ruling Mobius"

Math Notes: (filled with academic musings)

Cylinder: V=Pi r^2 h

SA=(Pi r^2)(2)

Volume: 30 cm^3

2 x Pi x r

h

So: (Pi r^2)(2) + 2 Pi r h

V= Pi r^2 h, SA= 2 Pi r^2 + 2 Pi r h

V= Pi r^2 h = 30

Plug in the given value; create equation using geometrical formulas

30 / Pi r^2 = Pi r^2 h / Pi r^2

h= 30 / Pi r^2

Plug in the height; plug in the known values; solve the equation in terms one variable

SA= 2 Pi^2 + 2 Pi r h

=2 Pi r^2 + 2 Pi r (30 / Pi r^2)

=2 Pi r^2 + 2(30/r)

=2 Pi r^2 + 60/r

Power Rule, derivative

dt/dv = 4 Pi r + 60 r^-1 or -60 / r^2

=4 Pi r - 60 r^-2

0=Derivative

0=4 Pi r - 60/r^2

0=4 Pi r (r^2) / 1 r^2 - 60/r^2

0=4 Pi r (r^2) / r^2

4 Pi r^3 - 60 / r^2 = 0

4 Pi r^3 - 60 = 0

-4 Pi r^3 = 60

r= cubed root 15/Pi

r= (Pi/15)^1/3

Plug in either; one main formula and one supplementary formula

Take the derivative

V= Pi r^2 h

SA=2 Pi r^2 + 2 Pi r h

V= Pi r^2 h

30=Pi (((Pi/15)^1/3)^2) h

h= 30 / Pi (Pi/15)^2/3

Finding Max Volume

SA = 30 cm^3

V=Pi r^2 h (Main)

SA=2 Pi r^2 + 2 Pi r h (Supplementary)

30=2 Pi r^2 + 2 Pi r h

h= 30-2 Pi r^2 / 2 Pi r

V= Pi r^2 (30-2 Pi r^2 / 2 Pi r)

V= Pi (square root 5 / Pi)^2 (30-2 Pi (square root 5/11)^2) / (2 Pi (square root 5/11))

V=9.15...

V= Pi r^2 (30 - 2 Pi r^2 / 2 Pi r)

V= r(15-Pi r^2)

V= 15r - Pi r^3

Derivative

V' = 15 - 3 Pi r^2

0= 15 - 3 Pi r^2

-15 = -3 Pi r^2

-15/3 Pi = r^2

r = square root 5/Pi