Alan

You need to use a numerical method to solve this. The graph below should enable you to get a good initial guess:

The result is just m^3

No / !

Press 2nd then asin (which is the inverse sin)

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Correct!  I've removed my incorrect comment.

Angle Side Angle postulate.  See http://www.mathwarehouse.com/geometry/congruent_triangles/angle-side-angle-postulate.php for details.

The difference between Melody's and DarkStrider's answer is:

Melody has interpreted the expression as  ln[(1+x)^-1]

DarkStrider has interpreted it as    [ln(1+x)]^-1

Different expressions give different results!

6^2 - 1^2 = 36 - 1 → 35

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y = 1/ln(x)

y = ln(x)^-1

dy/dx = -ln(x)^-2*(dln(x)/dx)

Now dlnx)/dx = 1/x so dy/dx = -ln(x)^-2/x  or  dy/dx = -1/(x*ln(x)^2)

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If we assume it is the x-axis that forms the tangents at x = -5 and x = 2, then we can do the following:

The y-intercept is just the value we chose for g.

It would be tedious to solve the four simultaneous equations for a, b, c and d by hand though!

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