Given:
As per our honor code, we are answering only the first question.
The parametric equations are \(x = t^2 + 5t − 1, y = 40 − t^2, − 2 \leq t \neq 5\). We have to find the area of the region bounded by these parametric equations.
Concept Used:
If the parametric equations are \(x=f(t), y=g(t)\) and

\(a \leq t \leq b\) then the area of the bounded region is given by \(A = int_a^b g(t) f (t) dt\) Calculating:

\(a \leq t \leq b\) then the area of the bounded region is given by \(A = int_a^b g(t) f (t) dt\) Calculating: