Recent content by ffrpg

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    Solve Limit Question: f(x)=(1+.01x)^(10/x)

    Here's a question from calc I (I'm currently in calc III). My cousin needs help with this problem and I'm truly clueless as of how to solve it. It's a limit question. The questions reads, As X approaches 0 what is the limit of f(x)=(1+.01x)^(10/x). I'm guessing something needs to be done with...
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    Find the gradient of f(x,y). f(x,y)=(x^2)e^-2y

    Here's the problem. Find the gradient of f(x,y). f(x,y)=(x^2)e^-2y. I don't have the solution to this and I need to know if I got the right gradient (I have more problems that depend on this gradient, points on it). I ended up getting, gradient f=<2xe^-2y, 2x-2e^-2y>. I don't think it's...
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    Calculating Average Acceleration on a Ferris Wheel

    The problems reads, A carnival Ferris wheel has a 14.2m radius and completes one revolution about its horizontal axis in 10.1s. Consider the time interval from the instant when a passenger is at the lowest point of the uniform circular motion to a clock reading 5.05 seconds later. What was the...
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    Calculating Centripetal Acceleration of Stone

    The problem reads, A boy whirls a stone in a horizontal circle, 1.6m above the ground, by means of a string. The radius of the circular motion is 1.0m. The string breaks and the stone hits the ground 5.0m from the point directly below where the string broke. What was the magnitude of the...
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    Find Min Distance for Train to Avoid Collision

    Nope I still don't know how to solve it (the 2nd question). How did you figure out the car had 175 horse power? I don't think it matters. Are you saying I should integrate a=dv/dt?
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    What was the elapsed time of the flight stone?

    I alright I tried what you said and ended up with 46.14 s. Is that correct?
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    Find Min Distance for Train to Avoid Collision

    I know I've asked quite a few questions, but I really am making an effort to get as far as I can. The engineer of a train moving along a level track with a velocity of 42.0 m/s sights a freight train at a distance of d ahead of him on the same track moving in the same direction with a velocity...
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    Calculating Average Acceleration of Styrofoam Ball

    This question was part of a 2 part question. I figured out the first part of it. I can't get the 2nd half of it. The formula for a lightweight object, such as a styrofoam ball is v=v_t(1-e^kt) where V_t=5.70 m/s is the terminal speed, k=1.72s^-1 is the drag coefficient of the styrofoam ball, t...
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    What was the elapsed time of the flight stone?

    Here's the question, A stone is thrown vertically upward with a velocity of 26.0 m/s from the top of a tower having a height of 18.5m. On it's return it misses the tower and finally strikes the ground. What was the elapsed time of the flight stone? I started if off with delta y=...
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    Solve for Average Velocity during 2nd Half of Trip

    Here's the problem, While Traveling through the first half of the distance of the trip, your average velocity is 14.0 m/s. What average velocity would you need during the second half of the distance on your trip, if you wanted your average velocity for the entire trip to be 24.0 m/s...
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    What is the displacement of the particle

    Hey thanks for the help. I figured out what I did wrong. I integrated incorrrectly. THANKS!
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    What is the displacement of the particle

    Here's my problem, The velocity of a particle is given by v = (5.5 m/s^4)t^3 - (5.4 m/s), what is the displacement of the particle during the interval t=3.5s to t=9.0s? I don't even know if I started it off right. I recalled seeing something similar to this in calc, so I tried integrating the...
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