mat 2000 Q3

mat · Uk Areas Between Curves Compute Area Directly (Numerical Answer)
3. (a) Find the coordinates of the points at which the two curves $y = 6 x ^ { 2 }$ and $y = x ^ { 4 } - 16$ intersect.
(b) Give a rough sketch of the two curves (in the same diagram) for the range $- 3 \leq x \leq 3$.
(c) Find the area of the region enclosed by the two curves. 
3. (a) Find the coordinates of the points at which the two curves $y = 6 x ^ { 2 }$ and $y = x ^ { 4 } - 16$ intersect.\\
(b) Give a rough sketch of the two curves (in the same diagram) for the range $- 3 \leq x \leq 3$.\\
(c) Find the area of the region enclosed by the two curves.\\
Paper Questions
Q3 Q4