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You are not logged in. #1 20130514 03:01:37
Singlevar Calculus (and otherwise)Some problems...one at a time. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #2 20130514 03:57:18
Re: Singlevar Calculus (and otherwise)7 is correct. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #3 20130514 03:59:43
Re: Singlevar Calculus (and otherwise)Consider 'x' to be a variable. What is the derivative of 12x^4 + 10x^3  5x^2 + 16 with respect to x? I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #4 20130514 04:02:42
Re: Singlevar Calculus (and otherwise)Both are correct! Good work! The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #5 20130514 04:07:31
Re: Singlevar Calculus (and otherwise)Thankyou; I just thought I needed some extra practive before the exams. After that, I should be much more relaxed... Anyways, I will post some more later. Last edited by ShivamS (20140310 03:12:35) I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #6 20130514 04:12:20
Re: Singlevar Calculus (and otherwise)You are welcome. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #7 20130522 22:33:07
Re: Singlevar Calculus (and otherwise)Hi; few other simple problems. Fred is standing on the ground and throws a ball up in to the air. He observes that it falls back down to the ground after 5 seconds. What was the initial velocity of the ball? I get 0 = 400 + 5V subscript 0 Thus initial velocity = 80ft / s I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #8 20130522 22:42:01
Re: Singlevar Calculus (and otherwise)One more: Junita is standing on the roof of a building 192 feet tall and throws a ball up in to the air with an initial speed of 64 feet / second. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #9 20130522 22:42:24
Re: Singlevar Calculus (and otherwise)I am getting 25 m/s. Which formula are you using? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #10 20130522 22:44:50
Re: Singlevar Calculus (and otherwise)Hi Stefy; for which question are you getting that? I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #11 20130522 22:46:38
Re: Singlevar Calculus (and otherwise)The one in post #7. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #12 20130522 22:52:38
Re: Singlevar Calculus (and otherwise)I get y(t) = Integral (32t + v subscript 0)dt = 16t^2 + v subscript 0 t + C I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #13 20130522 23:01:22
Re: Singlevar Calculus (and otherwise)
How'd you get this? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #14 20130522 23:05:44
Re: Singlevar Calculus (and otherwise)Similar to the problem in post 8. ground level will be position 0, up will be the positive direction and time t=0 will be the instant when Fred first throws the ball. The acceleration due to gravity will be a = 32. Thus dv/dt = 32, so that v(t) = 32 + C. The problem does not give any information about the velocity of the ball at any time so I use v0 to represent initial velocity. AT time t = 0, I get v(t) = 32t + v0. So, as v(t) = dr/dt, y(t) = integral (32t + v0)dt = 16t + v0t + C. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #15 20130522 23:11:12
Re: Singlevar Calculus (and otherwise)But, the acceleration due to gravity is 9.81 (or 10, if you round it up) mps. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #16 20130522 23:13:57
Re: Singlevar Calculus (and otherwise)Well, the units in the problem were feet, and 9.81 is approximately 32 feet. Also, "Similar to the problem in post 8. ground level will be position 0, up will be the positive direction and time t=0 will be the instant when Fred first throws the ball. The acceleration due to gravity will be a = 32." I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #17 20130522 23:35:16
Re: Singlevar Calculus (and otherwise)Ah, so we are both correct on the initial velocity for the one in post #7. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #18 20130522 23:37:42
Re: Singlevar Calculus (and otherwise)25m is 82 feet so did you simply approximate something? I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #19 20130522 23:40:38
Re: Singlevar Calculus (and otherwise)Yeah, I took g to be 10m per second squared. I am getting approximately 24.525mps with g=9.81m per second squared. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #20 20130522 23:41:58
Re: Singlevar Calculus (and otherwise)Oh, okay. Thankyou. The second one is a bit more complicated. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #21 20130523 00:19:11
Re: Singlevar Calculus (and otherwise)I think all three are correct. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #22 20130523 22:28:53
Re: Singlevar Calculus (and otherwise)Okay, thank you very much. I have some more but I will post them later. Actually, here are some vector calculus questions: I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #23 20130523 22:54:22
Re: Singlevar Calculus (and otherwise)I don't think I know what the potential of a vector is. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #24 20130524 22:10:37
Re: Singlevar Calculus (and otherwise)http://en.wikipedia.org/wiki/Vector_potential I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #25 20130527 22:29:46
Re: Singlevar Calculus (and otherwise)Thanks a lot Stefy; the midterm exam went extremely well. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann 