Write the general equation of each of the following circles that satisfies the stated conditions. a. Centre at (3, 0) and r=3. b. Centre at the origin and r=7 c. Tangent to the x- axis, a radius of length 4 and x coordinate of center is -3. d. x-Intercept of 6, y -intercept of -4 and passes through the origin. e. Tangent to both axes, a radius of 6 and the centre in the third quadrant.

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A: I have solved using the range of cosinex

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A: Please see the below picture for detailed solution.

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A: ∫02∫x2x y2x dy dx  =∫02x∫x2x y2dy dx  =∫02xy33x2xdx  =∫02x3y3x2xdx  =∫02x3x3-x23dx  =∫02x3x3-x6dx

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A: On solving this we will get

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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.