perplexus.info :: Just Math : Smells Trigonometric

Smells Trigonometric (Posted on 2023-11-12)

x and y are real numbers such that, (4x³-3x)²+(4y³-3y)²=1.

Find the maximum of x+y.

No Solution Yet Submitted by Danish Ahmed Khan

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re(2): based on Wolfram Alpha

Comment 4 of 4 |

I see what you mean.

I learned something about Matlab's fimplicit function: it plots zeros of a function, not where a logical equality holds:

syms x y

fimplicit(@(x,y)(4*x.^3-3*x).^2+(4*y.^3-3*y).^2-1,[-2 2 -2 2])

hold on

fimplicit(@(x,y)x+y-sqrt(2))

fimplicit(@(x,y)x+y-1.932)

grid

Edited on November 13, 2023, 6:24 am

Edited on November 13, 2023, 6:25 am

Posted by Charlie on 2023-11-13 06:23:11

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