Recent content by Glissando

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    Heisenberg's uncertainty principle, find uncertainty in position

    Homework Statement Using Heisenberg's uncertainty principle, calculate the uncertainty in the position of a proton moving at a speed of (5.00±0.01) x 10^4 m/s. Homework Equations Δx\geq \frac{h}{4mΔv\pi} The Attempt at a Solution x\geq (6.626*10^-34)/(4pi(1.6726*10^-24)(5±0.01 *...
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    Identifying Extrema of a Trigonometric Function on an Interval

    Thank you (: Figured it out!
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    Sketch the graph of y = sinx(1-cosx)

    Good point (wow that was embarassing...) K well I tried doing it and I still get cosx = 0: y' = cosx(1-cosx) + sin2x y' = cosx - cos2x + sin2x 0 = -cosx + cos2x - sin2x 0 = -cosx + cos2x 0 = cosx, x = pi/2, 3pi/2 UGH ): Thanks guys for putting up with me!
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    Solving a Limit Involving tanx and pi/4

    Hi micromass, Thanks for your quick response! I'm not too sure what you mean by working it out...do I plug that back into the original equation? Am I solving for x? Thanks!
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    Sketch the graph of y = sinx(1-cosx)

    Homework Statement Sketch the graph of y = sinx(1-cosx) over [-2pi, 2pi] Homework Equations first derivative and second derivative The Attempt at a Solution y' = cosxsinx 0 = cosxsinx x = pi/2, 3pi/2, 0, pi, 2pi I know I have the sin values right (the answers say the same)...
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    Identifying Extrema of a Trigonometric Function on an Interval

    Homework Statement Find the maximum and minimum values of the function f(x) = 2sin2x-2sinx on the interval [-pi, pi]]Homework Equations first derivativeThe Attempt at a Solution f'(x) = 4sinxcosx-2cosx 0 = 2cosx (2sinx-1) 0 = 2sinx-1, sinx = 1/2, x = pi/6, 5pi/6 0 = 2cosx, cosx = 0, x = pi/2 I...
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    Solving a Limit Involving tanx and pi/4

    Homework Statement Find the limit: lim (tanx-1)/(x-pi/4) x->pi/4 Homework Equations tanx = sinx/cosx The Attempt at a Solution lim (sinx/cosx-1)/(x-pi/4) x->pi/4 lim [(sinx-cosx)/cosx]/(x-pi/4) x->pi/4 I have no idea what to do after this )...
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    Find limits of sine and cosine functions

    Thanks guys (: I guess textbook error then! Yay! Thank you <3
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    Find limits of sine and cosine functions

    Homework Statement Find the limit: lim (1-cos2x)/(xsinx) x->0 Homework Equations Identities The Attempt at a Solution I've done this over and over and over again! The answer is supposed to be 0 but I keep getting 2 ): lim (1-cos2x)/(xsinx) x->0 lim...
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    Prove f'(0) = 0: An Even Function Homework Solution

    God you're good <3 Thank you so much (:!
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    Prove f'(0) = 0: An Even Function Homework Solution

    Goodness I hope I'm doing it right this time, thanks for bearing with me. f'(x) = f'(g(x)) * g'(x) f'(x) = f'(-x) * (-1) f'(x) = -f'(-x)...= f'(x)? God I'm feeling so dumb right now ):!
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    Prove f'(0) = 0: An Even Function Homework Solution

    IF I am doing this right... f(x) = f(-x) f' (x) = f'(-x) + f(-1) derivative of outer function times inner function plus outside function times derivative of inside function o.O? Thank you for your patience (:!
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    Sketch graphs showing vertical & horizontal asymptotes and relative extrema

    ...I guess I'm sketching the graph wrong then...Thank you for your help (:!
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    Finding Relative Extrema for a Rational Function with a Constant

    WOW that made all the difference! Thank you so much (:!
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    Prove f'(0) = 0: An Even Function Homework Solution

    But I'm taking the derivative with respect to x... ): why do I need to use the chain rule?