Three tennis players,a beginner,an intermediate,and advanced,have been randomly selected from the membership of a racquet facility club in a large city.Using the same tennis ball,each player hits ten serves,one with each of three racquet models,with the three racquet models selected randomly.The speed of each serve is measured with a machine and the result recorded.Among the ANOVA models listed below,the most likely model to fit this situation is the: A) one-way ANOVA.
B) two-way ANOVA.
C) randomized block design.
D) none of these

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Ответ:

arlettg

22.10.2022

Mathematics

$\frac{4}{\pi}+1$

Step-by-step explanation:

Find intersection points:

$x^2-x=2\\x^2-x-2=0\\(x-2)(x+1)=0$

x = 2 and x = -1 are intersection points.

$x^2-x=sin(\pi x)$

x = 0 and x = 1 are intersection points.

So,

$\int\limits^1_0 (sin(\pi x)-(x^2-x))dx + \int\limits^2_1 ((x^2-x)-sin(\pi x))dx=\\\\=(-\frac{1}{\pi}cox(\pi x)-\frac{1}{3}x^3 +\frac{1}{2}x^2)|\limits^1_0+(\frac{1}{3}x^3-\frac{1}{2}x^2)+\frac{1}{\pi}cox(\pi x)|\limits^2_1=\\\\=\frac{4}{\pi}+1$

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