Recent content by kLPantera

  1. K

    Related Rates: Trig Homework Solving x when Theta Increases

    I typed the problem word for word, I'll include the multiple choice answers in this post: a) 3 b) 15/4 c)4 d)9 e)12
  2. K

    Related Rates: Trig Homework Solving x when Theta Increases

    Homework Statement If theta increases at a constant rate of 3 radians per minute, at what rate is x increasing in units per measure at the instant when x equals 3 units? The Attempt at a Solution I drew the triangle and I came to the conclusion that I needed to use 5sin(theta)=x...
  3. K

    This is the correct Derivative?

    Homework Statement Need to find the derivative: y=logx/2-logx=logx*(2-log(x))^-1 The Attempt at a Solution The derivative of log(x) is 1/xln(10) and the derivative of (2-log(x))^-1 is -(2-log(x))^-2*1/xln(10)? This ended as 1/xln(10)(2-logx) - logx/xln(10)(2-log(x))^2...
  4. K

    How did this transition occur?

    So how did the numerator become: (2-cos(3x)-cos(4x)) = (1-cos(3x)) + (1-cos(4x))?
  5. K

    How did this transition occur?

    lim as x-> 0 (2-cos3x-cos4x)/(x). I'm not sure how the numerator became (1-cos3x)(1-cos4x)/(x) What am I missing? Could someone please point it out? Is it a trignometric factoring formula I'm not thinking of?
  6. K

    What Mistake Am I Making in This Limit Calculation?

    Homework Statement limi as x-> positive infinity x+r((x^2)+2x) The Attempt at a Solution multiply by conjugate x-r((x^2)+2x) I get (x^2)-(x^2)+2x/x-r((x^2)+2x) Which becomes 2x/x-r((x^2)+2x) Which I end up with 2/1-r(1-(2/x)) But I go wrong somewhere because I end up...
  7. K

    Why Did the Negative Sign Disappear in the Calculus Example?

    http://math.colorado.edu/~jkeller/math1300/lectures/L8limits3.pdf Example 8, the 2nd to 3rd step... where did the negative go? It's (x^2 - 3x) - x^2 then it became 3x in the numerator. Where'd the negative go? I don't see any other sign changes so could someone please tell me?
  8. K

    Changing the limits on Integrals

    Ah I understand it now lol
  9. K

    Changing the limits on Integrals

    For the first integral no I did not.
  10. K

    Changing the limits on Integrals

    I'm confused as to when to change the limits on a definite integral. Ex. Integral with the limits a=1, b=5, 3/(x+1)dx I set u = x+1 and du = dx I used u-substitution and everything worked out fine. However for this one... Ex. Integral with the limits a = 0, b = 2...
  11. K

    Derivative graph and the graph of the original function

    There are only 2 graphs: f'(x) and g'(x). I understand the one for g(x) now however... For the f'(x) graph, f'(x) is always above the x-axis. That means the slope is always positive?
  12. K

    Derivative graph and the graph of the original function

    Homework Statement When given the graph of f '(x) the graph sort of oscillates above the x-axis and the graph of g '(x) which starts in Quadrant III sort of curves up, goes through point (0,0) keeps going up then begins to even out. Homework Equations How can you tell how many...
  13. K

    Path of a projectile from a cannon

    First we fired at 0 degrees, which we then used to find Vo Vix and Viy were found after he gave us the angle of degree to fire it at. For Delta x we had a Delta x for when it was 0 degrees. We then were given an angle to fire at. We have to find the Delta x for when it will be fired at 12...
  14. K

    Path of a projectile from a cannon

    Fired at 0 degrees: Delta x: For 1 click: 1.28 meters For 2 clicks: 1.68 meters For 3 clicks: 2.28 meters Note* clicks means how much we compressed the spring within the cannon Delta y = 0.87 meters Each of the three rings are set at equal intervals of 1/4 of delta x.
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