Optimizing Aircraft Approach Path with Stewart Calculus

Bobby_RSV
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http://www.stewartcalculus.com/data...ndentals/upfiles/projects/ess_wp_0205_stu.pdf

I'm sure this question has already been asked in some form so if I'm repeating, my apologies. I’m not looking for an answer (not trying to have others do my work for me). However, I could use a little help in understanding the background information for this problem. That is, what specifically (mathematically) is being asked? What particular laws or equations come into play here? Understanding specifically what is being asked in a word problem has always been my weak point. Thanks in advance.
 
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hey BobbyRSV

its being asked to find a cubic polynomial that satisfies certina constarints and you need to define those constraints to satisfy the information in the problem

have ago and i'll help

cheers - Dane
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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