Recent content by cooltee13

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    Why Do Some Improper Integrals Diverge?

    Homework Statement Well I am studying for my final which is in a couple of days, and I am stuck on this topic of convergence of improper integrals. I've been doing a couple and I thought I was doing them correctly but my answers do not go with the answers I was given. So I am stressing out...
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    Calculating Winch Power for an Inclined Ore Car: 30 Degree Incline | 950kg Mass

    Oh ok, well then care to give me some advice on how to solve the problem then?
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    Calculating Winch Power for an Inclined Ore Car: 30 Degree Incline | 950kg Mass

    Homework Statement A loaded ore car has a mass of 950kg and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.0 degrees above the horizontal. The car accelerates uniformly to a speed of 2.2...
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    How Do You Apply Trigonometric Substitution to Integrate Sqrt(X^2 + 9)?

    Homework Statement Evaluate the Integral: Sqrt[(X^2)+9] Homework Equations I know its an Integration By parts problem, but I don't know how to start it. The Attempt at a Solution Im JUST learning this as I type this problem out, I've just been stuck on it for a while and my book...
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    Torque and Inertia of objects on Inclined plane

    how do I insert an image so i can show you the picture?
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    Torque and Inertia of objects on Inclined plane

    Im not sure how to put a diagram on this forum, but If i apply Newtons second law, I don't end up with the same Tensions as the book answer. F = ma I come up with 6.08 N for T1
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    Torque and Inertia of objects on Inclined plane

    can anybody help? do I need to explain more?
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    Torque and Inertia of objects on Inclined plane

    The answer for B is 7.67 N and 9.22 N. But I want to know how they got that. Can anybody help please?
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    Torque and Inertia of objects on Inclined plane

    Homework Statement a block with mass m1= 2 kg, and a block of mass m2 = 6kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = .25m and mass M = 10 kg. These blocks are allowed to move on a fixed wedge of angle pheta = 30 degrees. the coefficent of...
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    Integrate int (sin^2(t) + cos^2(t) -1)dt from e^x to e^(2x)

    Isnt that just equal to 1?
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    Integrate int (sin^2(t) + cos^2(t) -1)dt from e^x to e^(2x)

    ok, thanks guys lol. I feel dumb now
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    Integrate int (sin^2(t) + cos^2(t) -1)dt from e^x to e^(2x)

    Homework Statement Integrate from e^x to e^2x: (sin^2(t) + cos^2(t) -1)dt Homework Equations just standard integral equations The Attempt at a Solution I know how to do most of it, my only question is: is (sin^2(e^2x) + cos^2(e^x) -1) a special trig identity? or would i just...
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    Vol. & Area of Revolved Graph: Prove Finite Volume & Infinite Area

    ahh ok, that makes sense, well, ill just go with what we discussed..hopefully i chose the correct function :/ thanks for your help though
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    Vol. & Area of Revolved Graph: Prove Finite Volume & Infinite Area

    -This is what I've figured out so far: The area of the curve under the graph can be approximated using calculus, hence its finite. And if I revolve it, the volume is finite, because the area used was finite. However To get the surface area I would need to rotate the length of the curve, which...
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    Vol. & Area of Revolved Graph: Prove Finite Volume & Infinite Area

    Well, Like i said, A classmate thought it was 1/sqrt(x) and i thought it was 1/x^2..but we both could be wrong i suppose. I graphed 1/x and it does seem to make more sense, so Ill just go with that and If its not correct so be it. He didnt state any integral either, just the function and the...
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