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Brain Teaser - Area enclosed by a parabola and a line
09-11-2015, 04:57 PM (This post was last modified: 09-12-2015 01:38 PM by CR Haeger.)
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Brain Teaser - Area enclosed by a parabola and a line
I tried to work the following problem fully by hand and then with CAS help from the HP Prime. Eventually I got to "solutions" on the Prime but it took a lot of variables creation and substitutions to get there. I am sure most here will make quick work of this.

The problem:
* Find the area enclosed by a function f(x)=x^2 and a line g(x) that intersects and is normal to f(x) for all x>0. Solve for area at x=+1.0.

* Write the function h(x) in terms of x only which describes the area enclosed by f(x) and g(x).

* Find the minimum value of h(x)

   

Best, Carl
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Brain Teaser - Area enclosed by a parabola and a line - CR Haeger - 09-11-2015 04:57 PM



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