APPLICATION OF EXTREMA IN CURVE TRACING

Application Of Extrema In Optimization And Solid Geometry

Find the points of local extrema of the function f(x)=x^3-9x^2-48x+6AAx in R . Also find its local extrema.

Application Of Differential Equation In Curve

Somesh is driving motorcycle, in a zigzag way on the road. His motorbike moves on a road and traces a curved path. The path traced by it is shown by the curve ABCDE. The pattern of the path traced is in the shape of parabola. In mathematical form, the given path followed the polynomial expression in the form p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+a_(n-2)x^(n-2)+ ..... If the shape of the curve ABC is represented by quadratic equation x^(2) - 7x + 12 then its zeroes are:

Trace the trait in this pedigree

If the trace of A is 7 then the trace of 7A is