(Mid level) Suppose you are going on a 1,100 mile road trip in an electric car from Los Angeles to Seattle.Within the article, Reddy describes his analysis of cost savings.Ĭlassroom Activities: algebra, efficiency The feasibility of an EV is also a financial math problem. “Lower speeds will generally give a higher range due to the lesser air drag and rolling resistance,” Reddy writes. Sushil Reddy, the author who is also an engineer, describes what factors drivers must consider to extend their range. The trip covered approximately 8,849 kilometers over 70 days, and included 35 city stops. In an article for Conde Nast Traveler, an EV owner describes journeying through India in an electric car to test the feasibility of using an EV for long-distance travel. But the thought of embarking on a long journey can be intimidating due to concerns about battery range. Try to answer the question after the longer guessing game: Why should you never need more than 9 guesses?Ĭan you really drive around India in an EV? Notes from an IIT engineer’s 8,000-km journeyĮlectric vehicles are popular among drivers who want to reduce their carbon footprint. Watch the introduction to algorithms video on Khan Academy, then try the guessing game.Do you find it surprising that there is no algorithm that can always check whether or not a polynomial has integer solutions, as Davis and other mathematicians have shown? Why or why not? Read the examples of polynomials with integer coefficients listed on the Wikipedia page for Diophantine equations.The quadratic formula is a kind of algorithm: it is a process for taking any quadratic equation $ax^2 bx c = 0$ and finding its solutions. (All levels) An algorithm is a list of steps that starts with some kind of input and produces a result after a finite number of steps.(Hint: If $a$ and $b$ are integers, can $a^4 b^2$ be a negative number?) (High level) Explain why $x^4 y^2 5 = 0$ does not have an integer solution.(High level) Explain why $2x – 1 = 0$ does not have an integer solution.Did you find the same solution, or two different ones? Can you find another solution? Discuss your answer with another student. Find integers $a$ and $b$ with the property that $a 4b – 17 = 0$.In other words, find an integer $a$ with the property that $a^2 – 4 = 0$. Find an integer solution for $x^2 – 4 = 0$.It’s a complex game - Segerman has calculated that there are $7 \times 10^$ or irrational numbers like $\pi$. To beat the game, players must slide the hexagonal tiles until they have recreated the correct map of the globe. The puzzle represents Earth, and its surface is split into 12 pentagons and 20 hexagons like a soccer ball. It’s a sort of spherical blend between a Rubik’s Cube and a sliding puzzle. Last year, Segerman debuted a new puzzle called Continental Drift. Yet this “aphantasia” seems to motivate him to bring math out of imagination and into his hands: as puzzles and tools. The British-American mathematician and artist Henry Segerman can’t visualize shapes or scenes with his eyes closed.
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