Locate the critical points of the function f(x) = x + 2x + 6x - 4 and use the second derivative test to determine whether they correspond to local minima, local maxima, or neither.

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Q: Find the critical points and apply the Second Derivative Test (or state that it fails):  f (x) = 3x4…

A: fx=3x4-8x3+6x2 Differentiating with respect to x, we get f'x=3·4x3-8·3x2+6·2x=12x3-24x2+12x Again…

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Q: Apply the second derivative test to find all relative extrema. (b) f(x) = -x + 4x³ +8x²

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Q: -f(x)=√√5x² +2

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Q: Find the relative extrema using both First and Second Partial Derivative test f(x) = 1+8x - 3x2

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Q: find the critical points and apply the Second Derivative Test (or state that it fails). y = 6x^3/2 −…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.