Recent content by EcKoh

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    Solving an Inequality with X in a Denominator in Terms of Intervals

    Ah thanks, it turns out I was reaching incorrect solutions because in my notebook I was trying to find for >0 instead of <0... Thank you very much for your help and for pointing this out for me when I read your last post.
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    Solving an Inequality with X in a Denominator in Terms of Intervals

    So is graphing it the only way to solve the inequality? Or is there a way to do it arithmetically.
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    Solving an Inequality with X in a Denominator in Terms of Intervals

    My textbook states that the solution for this problem to be (-∞, 0) \cup (\frac{1}{4}, ∞) (meaning that the roots are 0, and 1/4. I just don't know how to arrive at that answer. Basically I am wondering how to arrive at this solution, because I keep working the problem and getting different...
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    Solving an Inequality with X in a Denominator in Terms of Intervals

    I have been tasked with solving the following inequality: \frac{1}{x} < 4 Attached to this thread is my attempted solution. As you can see I begin with simply solving the inequality for x, and I obtain the result x > \frac{1}{4} Next, I convert the equation into what I thought was the...
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    Using Algebraic Manipulation to evaluate a limit

    Homework Statement limx→3 (x2+5x+2) ÷ x2-6x+92. The attempt at a solution You cannot solve through direct substitution because the denominator comes out to equal 0, and you cannot divide by 0. Thus, I factored the lower terms to reach the following: (x-3)2 or (x-3)(x-3). However, to my...
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    Factoring a third degree polynomial as part of a limits problem

    Thanks to all of you. I realize now what my errors were.
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    Factoring a third degree polynomial as part of a limits problem

    Homework Statement I have a limit problem, however I do know how to work limits, I guess what I need is more of a refresher on how to work third degree polynomials. The polynomial(s) I am trying to work with are the following: x3-2x2+2x-15 -and- x3-5x2+10x-12 The limit is a limit where x...
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    Determining Air Resistance Force on Fire Helicopter's Water Bucket

    Okay so I redrew it, and finally figured it out hours later. Here is my solution, please let me know if I did this right or just happened to fall upon the correct answer: First I redrew the free body diagram just as I had before, labeling tension (T) in the rope, force of drag (Fd) pointing...
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    Determining Air Resistance Force on Fire Helicopter's Water Bucket

    Okay, I am drawing the free body diagram right now. Would I be correct to say that normal force isn't acting on the bucket?
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    Determining Air Resistance Force on Fire Helicopter's Water Bucket

    Homework Statement A fire helicopter carries a 564 kg bucket of water at the end of a 19.2 m long cable. Flying back from a fire at a constant speed of 41.6 m/s, the cable makes an angle of 46.0° with respect to the vertical. Determine the force of air resistance on the bucket. Knowns: m...
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    Romeo's Pebbles - A Zero Horizontal Acceleration Problem

    Thanks guys, I corrected the formula and was able to get a correct answer of 6.69 m/s
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    Romeo's Pebbles - A Zero Horizontal Acceleration Problem

    Homework Statement Romeo is chucking pebbles as gently as he can up to Juliet's window. That is, he wants the pebbles to hit the wendow with the least possible speed. He is standing at the edge of a rose garden at Dv = 7.90 m below her window and at Dh = 8.50 m from the base of the wall...
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