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    Past Extension eng q's and creative q's on sci fi

    Was wondering if people could share various essay questions and creative stimulus for sci fi
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    Domain and range for inverse function

    Need help to find the domain and range of this function f(x) = xsin^-1(x^2) thanks
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    related rates

    from exercise 25 a q 2 fitzpatrick 3u A lamp is 6m directly above a straight path. A man 2 m tall walks along the path away from the lightt at a constant speed of 1 m/s. At what speed is the end of the shadow moving along the path? At what speed is the length of his shadow increasing...
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    workload of 3u english?

    how much is the worload for 3u english? ive been offered to do it, but people say the workload is immense (especially if im condsidering doing 4u maths)?? should I do it?
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    Trig Helo

    I need some trig hel Solve tan theta = sin 2 theta [0 =< theta =< 360] Give the general solution of cos x + sin^2 x = 5/4
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    INverse Fuction help

    Need help with these inverse function questions Find points of intersection of curves y = f(x) and y = inverse f )x_ if f(x) = (x-1)^2 , x>1 f(x) = 3x (2-x), x < or equal to 1 Teacher didn't explain it very well so im kinda lost
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    Differentiaton of Log help

    I need help differentiating these log q's ln [x + sqrt(x^2+k)] ln (x - 1/x) ln [2x^3 sqrt (3-2x)] ln [3x^2 sqrt (1-x) / (1 + x)^3] Thanks in advance
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