How to do this byMaple?
y(y^2-1)(y-2)=x(x-1)(x-2)
1.how many points does the curve have horizontal tangents? Extimate the x-coordinates of these points.
2.find equations of the tangent lines at the points(0,1) and (0,2)
3. find the exact x-coordinates of the points of these points
4. crete even more fanciful curves by modifying the equation
Thx for helping
2006-11-25 17:49:55 · 2 answers · asked by ko w 1 in Science & Mathematics ➔ Mathematics
You'll have to do this in more than one step. Basically it will sort of have to be a program. I would start with the restart; command and then define the function (I would look this up in the help menu since it is dependent on 2 variables). Then use a command to find the derivative. Then a command to solve for the pairs (x,y) when the derivative is 0. That will give you 1. For 2 and 3 you will also have to do a series of commands. Use your calc book to refresh your memory on the procedure of finding these, it should be a similar procedure in maple.
2006-11-26 04:14:50 · answer #1 · answered by raz 5 · 0⤊ 0⤋
Need a calculator?
2006-11-25 18:14:36 · answer #2 · answered by kam_1261 6 · 0⤊ 1⤋