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i am unsure what i have to do for this question its a long one. i need help from all you maths champs! a flexible chain when suspended from its ends, hangs in a curve that looks a bit like a parabola. this curve is called a catenary. you are to investigate how good an approximation this is...

thank you so much.... i was struggling with that!!!!!!

i don't know the answer to this question consider the graphs of y=loge x, y= loge 2x and y=loge3x. the first derivative for these three functions is the sme. the second derivative for the three functions is the same. why is this? how do the first and the second derivatives relate to the original...