question 3 attached thxaovrwoug52agoug52ug5gh5ou2hg52ouha25ougn5oba5uobgn13ouf1n4 Theorem: Constant Multiple PropertyIf y = f(x) = k u(x), where k is a real number and u(x) is a function, then the derivativeis○ f'(x)=k+u'(x)○ f'(x)=k u'(x)○ f'(x) = 0O f'(x) = k u(x)k-1

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Answered: Theorem: Constant Multiple Property If…

Advanced Engineering Mathematics

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In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 306 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.05 significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks? E Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. A. Ho: Jump direction is independent of kick direction. H: Jump direction is dependent on kick direction. O B. Ho: Goalkeepers jump in the direction of the kick. H,: Goalkeepers do not jump in the direction of the kick. O C. Ho: Goalkeepers do not jump in the…
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Theorem: Constant Multiple Property If y = f(x) = k - u(x), where k is a real number and u(x) is a function, then the derivative is ○ f'(x) = K +u'(x) ○ f'(x) = k-u (x) ○ f'(x) = 0 O f'(x) = k· u(x)*-1