Answer:- the multiplicative rate of change of the function=5
Explanation:-
Given function: on coparing it with exponential function
,here A=2 is the initial amount of the function and b=5 is the multiplicative rate of growth.
Alternatively,
Given points=(1,10) (2,50) and (3,250)
We can see that
at x=1, y=10=2×5
at x=2, y=50=2×5×5
at x=3, y=250=2×5×5×5
⇒ the multiplicative rate of change of the function=5
First find the critical points of <em>f</em> :
so the point (1, 0) is the only critical point, at which we have
Next check for critical points along the boundary, which can be found by converting to polar coordinates:
Find the critical points of <em>g</em> :
where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at
So <em>f</em> has a minimum of -7 and a maximum of 299.