Families of Equations HELP, DESPERATELY NEEDED!!!?
Families of Equations HELP, DESPERATELY NEEDED!!!?
k(x)=ax^3+bx^2+30
Where: -0.002<a<-0.0005
-0.06<b<-0.01
• The section begins where k(x)=0
• The gradient at (0,30) will be zero.
• The section must intersect the x-axis at no more than 45 units away from the y-axis (Hint: it will be in the negative direction)
• The angle of the track cannot exceed 49°
1. Investigate possible values of b and the family of curves created by varying the values of a and b.
2. Discuss and compare possible values of a and b which would provide a feasible solution.
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