Recent content by Anood

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    Calculating the Imaginary Part of (1-2i)^2-i

    How can i find The imaginary part of (1-2i)^2-i. This is what i have done so far: (1-2i)^2 (1-2i)^-i =(1-4i+4)(1-2i)^-i
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    Optimizing F to Find the Optimal Theta Value

    the 2nd dervitive is the following; [cos(theta)+uk*sin(theta)]^2*(w*uk*[cos(theta)-uk*cos(theta)-sin(theta)-uk*sin(theta)]/([cos(theta)+uk*sin(theta)]^2)^2
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    Optimizing F to Find the Optimal Theta Value

    it's (n) *u(x)^(n-1) right?
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    Optimizing F to Find the Optimal Theta Value

    what's the dervitaive of u'(x)/u(x)
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    Optimizing F to Find the Optimal Theta Value

    i don't get the follwing line: Thus, in order to evaluate the second derivative at \theta=\theta_{k} , just keep the term including the derivative of the numerator
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    Optimizing F to Find the Optimal Theta Value

    i see now how we get \tan(\theta_{m})=\mu_{k} what's next?
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    Optimizing F to Find the Optimal Theta Value

    w*uk*[sin(theta)-uk*cos(theta)]/[cos(theta)+uk*sin(theta)]^2=0 i couldn't solve for theta it's very complicated. Need your help!
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    Optimizing F to Find the Optimal Theta Value

    i'm a bit confused. Can you simplify your explanation please?
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    Optimizing F to Find the Optimal Theta Value

    shouldn't i first take the 2nd dervitive?
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    Optimizing F to Find the Optimal Theta Value

    is it that i have to set it equal to zero and solve for theta?
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    Optimizing F to Find the Optimal Theta Value

    i don't think there must be a minus in front of the whole expression. what do u mean by where can the extrema of F wrt?
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    Optimizing F to Find the Optimal Theta Value

    is what i did right? i mean squring the denomenator?
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    Optimizing F to Find the Optimal Theta Value

    df/dtheta= w*uk*[-sin(theta)+uk*cos(theta)]/[cos(theta)+uk*sin(theta)]^2
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    Optimizing F to Find the Optimal Theta Value

    a)In terms of theta,µk and w calculate F. b)for w=400 N and µk=.25, calculate F and theta ranging from 0 to 90 in increments of 10.Graph F versus theta. c)From the general expression in part (a) calculate the value of theta for which the value of F, required to maintain constatnt speed, is a...
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