Instructions

Let $$f_{1}:(0, \infty) \rightarrow$$ R and $$f_{2}:(0, \infty) \rightarrow$$ be defined by
$$f_{1}(x): \int_{0}^{x} \prod_{j=1}^{21}(t-1)^{j}$$ dt, $$x> 0$$ and
$$f_{3}(x) = 98(x-1)^{50}-600(x-1)^{49} + 2450, x > 0$$,
where, for any positive integer n and real numbers $$a_{1}, a_{2}, … , a_{n}, \prod_{}{}^{n}i=1 a_{i}$$ denotes the product of $$a_{1}, a_{2}, … , a_{n}$$. Let $$m_{i}$$ and $$n_{i}$$, respectively, denote the number of points of local minima and the number of points of local maxima of function $$f{i}$$, i = 1, 2, in the interval ($$0, \infty$$).

Question 9

The value of $$2m_{1} + 3n_{1} + m_{1}n_{1}$$ is ___ .


Correct Answer: 56.90 - 57.10


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