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How can we get a numerical solution of one simple optic task with Prime?

ValeryOchkov
24-Ruby IV

How can we get a numerical solution of one simple optic task with Prime?

See please one simple optic problem and the symbolic solution:

Optic4.png

ACCEPTED SOLUTION

Accepted Solutions

Hi Valery,

I think it should be +y(x) not -y(x) inside the root, and you should have either F=1 cm or y(F) = 0 m.  In addition, the derivative is not well-behaved when y = 0 (solve the expression for y'(x) and you'll get x-x on the bottom for y = 0) ... I've cheated a bit to get the solution, but there must be a proper way to do it!.

Stuart

View solution in original post

2 REPLIES 2

Hi Valery,

I think it should be +y(x) not -y(x) inside the root, and you should have either F=1 cm or y(F) = 0 m.  In addition, the derivative is not well-behaved when y = 0 (solve the expression for y'(x) and you'll get x-x on the bottom for y = 0) ... I've cheated a bit to get the solution, but there must be a proper way to do it!.

Stuart

Thanks, Stuart.

Do you know that

The sinus of the angle of incidence equals the angle of reflection and vice versa.

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