Need answers for 2 questions:
1)Evaluate dy/dt for the function at the point xy^2 = 4 : dx/dt = -5, x= 4 , y = 1
2) Find the area bounded by the given curves.
y = x^3 , y = 4x
THANKS
Need answers for 2 questions:
1)Evaluate dy/dt for the function at the point xy^2 = 4 : dx/dt = -5, x= 4 , y = 1
2) Find the area bounded by the given curves.
y = x^3 , y = 4x
THANKS
1. What are we supposed to do with this? Also, where does t fit in? You never specified anything about it.
2. If you make a quick sketch of the graph, you'll see that there are two regions in which they are bounded: from -2 to 0 (where y = x^3 is bigger than y = 4x) and from 0 to 2 (where y = 4x is bigger than y = x^3).
So, the areas bounded by both curves: $\displaystyle A = \int_{-2}^{0} \left(x^{3} - 4x\right)dx + \int_{0}^{2} \left(4x - x^{3}\right)dx$