Here's a calculus challenge I made inspired by a different definite integral I saw online a few days ago. Do any calculus enthusiasts dare to crack it?
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Here's a calculus challenge I made inspired by a different definite integral I saw online a few days ago. Do any calculus enthusiasts dare to crack it?
Show how a unit circle with a radius of 1 and angles x in radians can be used to graph the sine and cosine functions and to prove that cos²(x) + sin²(x) = 1 using the Pythagorean theorem.
happy leap day! it's crazy to think that next time, i'll be preparing to graduate from college--hopefully :') what do you all think your life will be like in 2024? ⠀⠀⠀⠀⠀⠀⠀ posted on Instagram - https://ift.tt/32I7y0f
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'The liquid within one of the smart windows begins to turn opaque as it's warmed by the sun' . . While double-glazed windows do help save energy, Singaporean scientists have tweaked the concept to make it even more effective. Instead of leaving an air gap between the two panes of glass, the researchers have inserted a heat-absorbing, light-blocking liquid. . . Developed at Nanyang Technological University, the experimental new "smart window" consists of two panes of ordinary glass, the space between which is filled with a solution consisting of a proprietary hydrogel, water, and a stabilizing compound. During the day, as sunlight passes through the window, the liquid absorbs and stores that light's thermal energy. This keeps the room from heating up, reducing the need to run the air conditioning. Additionally, as the liquid warms up, the hydrogel within it changes from a transparent to an opaque state. Although this ruins the view out of the window, it also reduces the amount of visible light that passes through from outside, further helping to keep the room cool. When the sun goes down at night, the gel cools and becomes clear again, releasing the stored thermal energy. Some of that energy passes through the glass and into the room, reducing demands on the building's heating system. And as an added bonus, the smart window reportedly absorbs exterior noise 15 percent more effectively than traditional double-glazed windows. This paper was recently published in the journal Joule. Source : NTU @ntu_sg #we #chem #sciencefacts #biological #genetics #science #quantumphysics #mathproblems #chemistrylove #electrophoresis #mathfun #scienceinsider #pipette #chemists #biostudent #chemistryhumor #sciencestudents #mathhumor #biotechnologystudent #thermodynamics (at Mexico City, Mexico) https://www.instagram.com/p/CHOITJdDZjd/?igshid=mecl2oqst9ul
Non-terminating... . . . #sciencejokes #sciencememes #sciencehumor #mathjokes #mathmemes #mathfun #mathisfun #sciencefun #scienceisfun #sciencehook #science #pi https://www.instagram.com/p/B3G43mWDbEi/?igshid=i72wislvv610
The entire world population could fit in Texas allotting 330 square feet per person. The area of Texas is about 262,000 square miles. #FACT
Blocks, cards and board games help your child learn basic counting skills. These games make learning math an enjoyable activity rather than an educational one.