June 20, 20XX
Today was a remarkable day at Princess Peach's castle, a place that has transformed into a thriving headquarters for coordination between the Mushroom Kingdom and Mobius against united villains. I had the privilege of delving deeper into the extraordinary world of this planet's futuristic time period, to talk with the legendary heroes who all stand as a beacon of hope for both realms.
As I entered the castle, I couldn't help but marvel at the bustling energy that filled the air. People from all walks of life, both familiar Mushroom Kingdom residents and curious Mobians, were busy with their respective tasks. The unity displayed within these walls was truly inspiring, a testament to the unwavering spirit of cooperation.
I had the fortune of meeting Toadsworth, the ever-loyal advisor to Princess Peach. He guided me through the castle's grand halls, adorned with portraits and trophies commemorating Mario's triumphs over the years. The sight was a vivid reminder of the battles fought and won, a reminder of the strength and resilience that Mario possesses.
On their walls of memorabilia, I noted many titles, souvenirs, and notes that describes many photos and newspaper clippings that were hung up: (as I wait in attendance-I took the time to write what they stated, most of them seem to be advertisements of sorts)
"Mario has rescued the mayor, Pauline, from the clutches of the giant ape, Donkey Kong. Mario have navigated through multiple levels, jumping over barrels and climbing ladders to reach Pauline at the top"
"Events revolves around the young ape's quest to save his captured father. He has overcome obstacles and solve puzzles to reach Donkey Kong's cage and set him free"
"With mathematics challenges, must solve arithmetic problems by manipulating numbers and symbols scattered throughout the levels"
"Mario and Luigi as they work together in a sewer, clearing out pests known as Shellcreepers and Sidesteppers"
"Mario, operating a cement factory. The objective is to fill cement trucks with the right amount of cement and avoid overflows or spills"
"Mario and Luigi as two plumbers working in a sewer. They must defeat various enemies, including turtles and crabs, by flipping them over and then kicking them off the platforms"
"Mario (with Mushroom Kingdom's military) who must transport bombs safely across a dangerous bridge. Timing their steps to avoid falling into the water or being hit by enemy fire"
"Tennis is a sports game where players can compete against the computer or another player. The objective is to hit the ball over the net and outmaneuver opponents to score points and win matches"
"A pinball simulation features various bonus stages and targets to hit"
"Special arcade game with updated graphics and new levels!"
"Elements of boxing and platforming: Mario or Luigi as they punch a ball to break blocks and defeat enemies"
"Golf allows players to simulate a round of golf. They can choose clubs, adjust power and angle, and aim for the hole on various courses"
"Allows users to create their own basic programs and games using a simplified programming language!"
"Allows players to compete against each other in fast-paced matches with improved graphics and gameplay!"
"Donkey Kong as a circus performer juggling various objects"
"Multiple pinball tables with unique themes and features, providing an enhanced experience compared to traditional pinball machines!"
"Donkey Kong and others as they compete in a fast-paced hockey match"
"Improved graphics and gameplay, allowing players to compete against each other or the computer in realistic golfing matches!"
"Offers additional features and improvements for creating custom programs and games!"
"Mario as the foreman, must demolish a series of buildings while avoiding enemies and obstacles"
"The Wrecking Crew offers experience of wrecking buildings!"
"Mario through the Mushroom Kingdom to rescue Princess Peach from the villainous Bowser. Along the way, they have navigated through perilous levels, collect power-ups, and defeat enemies"
"Mario as he embarks on a quest to rescue Princess Peach from the clutches of Bowser, navigating through challenging platforming levels filled with enemies and obstacles"
"Offers modified levels and increased difficulty compared to the original game!"
"The Lost Levels introduces new obstacles, trickier platforming sections, and hidden secrets to discover!"
"To help young students learn to read and write. Engage in various activities, such as solving puzzles and answering questions, with the assistance of Mario and his friends!"
"Collaboration with the All Night Nippon radio show! Facing familiar challenges while enjoying unique twists and surprises"
"Aim their shots, adjust power and angle, and strive for accurate swings to navigate the courses successfully!"
"Players compete against computer-controlled opponents or friends, using skill and strategy to conquer the challenging fairways and greens!"
"Little Mac, a young boxer working his way up through the ranks by defeating a series of colorful and challenging opponents!"
"Little Mac fights through through increasingly difficult boxing matches, utilizing strategy and timing to dodge and counter opponents' attacks!"
"Allows players to participate in Formula One-style races. They compete against computer-controlled opponents, striving to finish first while managing their car's speed and navigating through challenging tracks!"
"Control a rally car from a top-down perspective, maneuvering through diverse terrains and attempting to reach the finish line before the timer runs out, all while avoiding obstacles and rival racers!"
"Mario, Luigi, Toad, and Princess Peach, each with their unique abilities save many from the clutches of the villainous Wart"
"The gameplay involves platforming challenges, climbing vines, avoiding hazards, and solving puzzles!"
"Mario and Luigi embark on a mission to save Princess Peach from the clutches of Bowser and his Koopalings!"
"Mario and Luigi working together in a sewer, clearing out pests called Shellcreepers and Sidesteppers by flipping platforms to defeat enemies, earning points, and progressing through increasingly challenging levels!"
"Play Baseball! The objective is to score runs by hitting the ball and strategically managing the players on the field!"
"Mario as he embarks on a journey to rescue Princess Daisy from the clutches of the villainous Tatanga!"
"Players control a paddle at the bottom of the screen and must bounce a ball to break a wall of bricks. The objective is to clear each level by removing all the bricks while avoiding missing the ball with the paddle!"
"Players are tasked with arranging falling blocks and to form complete lines. When a line is formed, it disappears, earning points and creating space for more blocks to fall. This game continues with increasing speed and difficulty as players strive to achieve high scores and prevent the screen from filling up with blocks!"
"The objective is to prevent the blocks from stacking up to the top of the playfield, follows the same addictive gameplay formula, challenging players to think quickly and strategically as they try to achieve high scores and progress through increasingly difficult levels!"
"Mario meeting QMix who is chased by Sparx"
"Dr. Mario receiving his degrees"
"Little Mac's journey as he works his way up through the ranks, taking on a series of challenging opponents in the boxing ring"
"A racing game that allows players to experience the exhilaration of Formula One racing! Players can choose from multiple racers and compete on various tracks inspired by real-world Formula One circuits. The objective is to finish races in the fastest time possible, avoiding collisions and strategically navigating through twists and turns. The game offers different game modes, including single-player races and multiplayer options using the Game Boy's link cable, providing an exciting racing experience on the go!"
"Mario and his brother Luigi as they embark on a quest to rescue Princess Peach from the villainous Bowser in the dinosaur-filled land of Dinosaur Land through a vast and interconnected world, exploring diverse environments, uncovering secrets, and defeating enemies across multiple levels and challenging encounters. Yoshi, the lovable dinosaur companion arrives and aids Mario in his journey"
"Dr. Mario's office when empty"
"Mario navigates through a series of platforming levels, avoiding obstacles, defeating enemies, and potentially rescuing Princess Peach from the clutches of Bowser. At this time, Mario meets Sonic. He was going out to stop the evil Dr. Robotnik (also known as Dr. Eggman) from taking over the world. Dr. Robotnik was capturing various woodland creatures and transforming them into robotic minions called Badniks. Sonic's goal was to free these animals and put an end to Dr. Robotnik's schemes"
Finally, the time came to meet Mario himself. The anticipation grew with every step. When we entered the central chamber, Mario was already there, engaged in conversation with Sonic the Hedgehog and Princess Peach. I couldn't believe my luck, witnessing these iconic figures in the flesh. My previous friends that I am searching for often tell me on how they often help each other to face many forces of darkness.
Mario's presence includes a trademark red cap and blue overalls were a symbol of his unwavering commitment to protect the innocent and vanquish evil. Despite his fame and countless victories, he remained humble and approachable, a true hero in every sense.
Sitting down with Mario, we engaged in a heartfelt conversation. He shared stories of his adventures, his encounters with both familiar and new allies, and the challenges he faced in uniting the Mushroom Kingdom and Mobius against their common foes.
His selflessness and dedication to justice were a beacon of inspiration for all those who followed him.
As our conversation drew to a close, Mario extended an invitation for me to join their cause (so I can find my friends and hopefully at the same time they will be finding me). He believed that everyone had the power to make a difference, no matter how small their contribution may seem. I was overwhelmed with gratitude, as this opportunity to stand alongside Mario and his allies was a dream come true.
Math Notes: (filled with academic musings)
f(x) = x^6 - 6x^5
f '(x)=6x^5 - 30x^4
0=6x^5 - 30x^4
0=6x^4 (x-5)
x=0,5
Local Extrema
x=0,5
Concave Up and Down
f '(x)=6x^5 - 30x^4
=6(-1)^5 - 30(-1)^4
= -36
f '(x)=6x^5 - 30x^4
=6(1)^5 - 30(1)^4
= -24
f '(x)=6x^5 - 30x^4
=6(6)^5 - 30(6)^4
=46,476
Increasing: (5, infinity)
Decreasing: (-infinity, 0) U (0,5)
Down: (-infinity, 0)
Down: (0,5)
Up: (5, infinity)
f '(x)=6x^5 - 30x^4
f "(x)=30x^4 - 120x^3
Remember second derivative is 0
0=30x^4 - 120x^3
0=30x^3 (x-4)
x=0,4 [Inflection Points]
No Function, No Asymptotes