Let D be a region in the xyz-space bounded by a sphere x^2 + y^2 + z^2 = 16 and a paraboloid z = x^2 + y^2 – 14. a) Find the volume of D. b) Find the triple integral of z over D.c) Find the triple integral of (2x + 5y) over D. d) Find the center of mass of D.

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A: To prove:  1+ω7ω-2+5+2ω1+ω = ±3i We know that ω is a cube root of unity and 1+ω+ω2=0 and ω = -1+i32…

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A: Sample size (n) = 10 Probability(p) = 0.69

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A: Greenhouse gas emission level in 2020 = 56440 MTCDE

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A: Probability quantifies the chances of happening an event. The probability values always lie in the…

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A: 3940, 4060, 3220, 3080, 2920, 3870, 4060, 4030, 3790Arrange in ascending order2920, 3080, 3220,…

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A: Volume of the surface z=f(x,y) bounded region in the xy-plane

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A: Given that,the equation of the tangent line to fx at the point a=1 is y=7-2x.We need to find the…

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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.