Answer:
(1)
type-A:
type-B:
(2)
Step-by-step explanation:
We are given
type-A:
type-B:
(1)
At initial means t=0
For type-A:
we can plug t=0
For type-B:
we can plug t=0
(2)
we can set f(t)=g(t)
and then we can solve for t
we can draw graph of f(t) and g(t)
and then we can find intersection point
so, we got
We need to start from the innermost parenthesis and work our way out.
The first parenthesis is . These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have
and 2z and -13z are like terms, so we can sum them:
Finally we arrive to the whole expression, which is
Because, again, 5z and 11z were like terms.