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What is the pattern: 3, 9, 25, 65, 161... God mode: No Wolfram.

Got a physics I problem I'd like some help with if anyone is up for helping a brother out. Just guidance is more than sufficient. It seems like a basic circular motion problem, but I missed the lecture on it when my professor taught it in class. Here's the problem: The angular velocity of a process control motor is w = (20 - .5*t^2) rad/s, where t is in seconds. a. What time does the motor reverse direction? b. Through what angle does the motor turn between t = 0 s and the instant at which it reverses direction? So here's my thought process on this one. For part a), set w (the angular velocity) to 0 to solve for t (where I'm guessing is the point that the motor changes direction). So 0 = 20 - .5*t^2 >> t = sqrt(40) s. For part b), take the derivative of the equation to get the angular acceleration, plug it into Af = Ao + wi*t + .5(alpha)*t^2 to get the answer in radians, then convert to degrees if I want to. I ended up getting -20.13 degrees for my final answer, or 125.49 rads. This question doesn't exist on any website (trust me, I've tried looking) so there is no way I can check my answer (not in the back of my textbook). Any guidance AT ALL will be most appreciated!

What are your guys thoughts on McGill university and Western university? I am a young guy who will be entering sciences. Which place is life better? Is it there a large selection of woman at both?

>If some men are doctors. And some doctors are tall. Does it logically follow that some men are tall?

Can someone show me how to do this question? Find the growth rate that squares the run time when we double the input size. That is, if T (n)=x , then T(2n)=x^2 My first thought was 1/2n^2 but that is clearly not right.

What does (dy/dx) actually mean? That is, I can perform algebra on this thing, but what am I really doing? Note that I know that the "d" represents change, so it's describing infinitely small changes, but why can I perform these different manipulations to this thing? Also, what's the difference between explicit and implicit differentiation? I know how to do this stuff, but I want to know why it works, and what it's saying.

Do you think dark matter in almost practical essence the new aether? If so then how long till it gets "officially" thrown away like it's semi-spiritual predecessor?

Dearest /sci/, I'm looking for a book on linear algebra that is: 1) taught more from a structural/theoretical standpoint. Computation and application is fine and all but I don't want a book dedicated to matrix multiplication and how it ties into engineering, etc 2) accessible to an undergrad with calculus 3 done if you know of any, thanks in advance

Hey /sci, Can't linear algebra right now. Can someone explain how to set up equation 2 to solve for gamma and lambda? I'm doing something wrong cause my results don't make sense

how do I \int_{0}^{2\pi} \sqrt{a^2sin^2(t) + b^2cos^2(t)} dt

So if you use the newtonian gravity equation, during a solar eclipse, where the moon is directly between the earth and the sun, the gravitational force on the moon by the sun is about twice as great as earth's on the moon, at the same time the moon's velocity is basically tangential to its orbit around earth, so it's not like it's moving towards earth which could serve to work in earth's "favour". A simple inspection would lead you to the conclusion the moon should start to orbit the sun, but why does it not? Seriously im a pleb, and dont know. Is it that if you account for earth's velocity with respect to the sun, or something, I really dont know, please respond

Hey /sci/, how do you wind down from all of that thinking? I'm getting tons of headaches and I'm having trouble sleeping

>not putting your axiom of choice in the fridge

Why doesn't any sci-fi movie with time travel take into account planetary movement and the fact if you were to travel in time you would probably end up up in space way outside of earth's (or any other object's) atmosphere?

hey /sci/ I am having trouble with math, math is a weak subject of mine, but I would like to get better at it, and do very well with it. I am currently in college at the lowest math class they have. I am working with prime factorization, and Least common multiple. I would like to know what methods you use to solve in these two categories, Least common multiple I am just confused, does it mean the smallest number that both of t hem go into. so, lets says, numbers are 2 and 5, do I just find which answers will be the same from both of them? like 5 * 4 = 20 and 10 * 2 = 20 and so one of the LCM is 20? >pic related is that even a efficient way or is there better/efficient way?

Recommendable Discrete Mathematics books?

How would i go about calculating the area of a circle, using integration? Lets say the circle is x^2 + y^2 = r^2. Of course we know that x=rcos(t) y=rsin(t) I imagine there would be a way to describe an infinitely thin piece of a circle, such as the radius, and summ them all up.. or maybe describe an infinitely small segment and sum all segments. This is bound to be super easy, but i can't figure it out. I probably don't understand integration, or something.

I come to /sci/ asking for any books that discuss the theories and ideas we currently have regarding Quantum Computers (specifically quantum processors). A huge plus is a book that discusses the differences between present "classical" processors versus quantum processors. I'm currently enrolled in a Nanotechnology Eng field and will make my way into quantum computing. I plan on also studying Quantum Cryptography. One of my greatest ambitions is to prove that Quantum Cryptography CAN be broken, which is where I feel that my strong Math and Engineering background will assist me. I'd also really appreciate any advice as to which Pure Math courses to take, and I'll throw them into my curriculum. I guess we can also devote this thread to discussing the future of computing in general. Thanks!

hai guise. Engineering fag here. as part of my course we've been set a challenge to essentially build a model tug boat which as to produce a maximum amount of pulling force measured in Newtons. has anyone any tips on what type of propellers and batteries to use? or any tips in general ? will answer any questions!

ITT: we try to guess why cancer is going strong in our age. Or you can give a % to the following causes: 1) Phisical (pollution) 2) Psychological 3) People just live longer