(a) Given that, f(x) = x³ + 3x² + 5x + 9, (i) Show that there is at least one root in the interval [-3,–2] (ii) Using the Newton Raphson method, taking x1 -2.5, find x2 correct to 3 decimal places.

Q: Hi! Thank you so much for the response, but I'm not able to see the full explanation because it's…

A: Given polynomials are Part (3):  ( 1 - x) ( 1 + x + x2 + x3)  , Part (4):  ( 1 - x) ( 1 + x + x2 +…

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A: Area of the bounded region is A=21+(255 π/8)

Q: would you mind typing it out I cant really read it thank you

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A: No option is correct. See the attachment

Q: what theorem was used? i cant read it.

A: Let's solve.

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.