Created
September 15, 2021 18:54
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mt1_2
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| sage: t = var('t') | |
| sage: r = 10*1000 - 400*t | |
| sage: z = 300 + 110*t -10/2*t^2 | |
| sage: sol = solve( z, t) | |
| sage: s = sol[1] | |
| sage: z.subs(sol[1]) | |
| -5*(sqrt(181) + 11)^2 + 110*sqrt(181) + 1510 | |
| sage: expand(_) | |
| 0 | |
| sage: r.subs(sol[1]) | |
| -400*sqrt(181) + 5600 | |
| sage: n(_) | |
| 218.550381170516 | |
| sage: z = 300 + 111*t -10/2*t^2 | |
| sage: sol = solve( z, t) | |
| sage: r.subs(sol[1]) | |
| -40*sqrt(18321) + 5560 | |
| sage: expand(_) | |
| -40*sqrt(18321) + 5560 | |
| sage: n(_) | |
| 145.796457464866 | |
| sage: |
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