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Math Help - i want yr sullotions in this questions plz?

  1. #1
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    Exclamation i want yr sullotions in this questions plz?

    hello all
    i'm really happy caz i found a furums that will help me in my homework and this is also quaetions can help me plz/


    thax 4 all agian.
    Attached Thumbnails Attached Thumbnails i want yr sullotions in this questions plz?-clip_image003.jpg   i want yr sullotions in this questions plz?-clip_image004.jpg  
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by eman.kh View Post
    hello all
    i'm really happy caz i found a furums that will help me in my homework and this is also quaetions can help me plz/


    thax 4 all agian.
    i suppose these are calculus questions...

    for image003 the function f(x) = 3 + 4x^3 - x^4..

    a)
    f'(x) = 12x^2 -4x^3
    at x=1, f'(x)=8, hence the equation of the tangent line at the point (1,6) is y-6 = 8(x-1) and the equation of the line perpendicular to it is y-6=\frac{-1}{8}(x-1)
    b) solve for f'(x) = 0 and plug in the values of x in f(x) to find their corresponding ordinates..
    c) on the interval [-1,2]
    f(-1) = -2
    f(2) = 19
    and f(-1)f(2) = -38 < 0
    so, by a corollary to the IVT, there is a c such that f(c) = 0.
    indeed, f(c) = 3 + 4c^3 - c^4 = 0, solving for c, we have (using a calculating device) -.8519, and 4.0453
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