Does there exist a function u : R² → R that is not continuous at 0 E R², but whose restriction to every polynomial curve going through 0 e R? is continuous? By a poly- nomial curve we mean the parameterized curve (t, p(t)) where p is some polynomial, or a rotated version of (t, p(t)).

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A: ∫sin4(x)dxAccoring to  reduction formula ∫ sinn(x)=n-1n∫ sinn-2(x)dx-cosxsinn-1(x)nhere n=4∫…

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A: Here, we have the probability of exactly 6 are sedimentary upto 3 decimal places.

Q: Hello can you show me the work for part A?

A: As you instructed we can solve part a as below

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A: The integration of the (4-3x)3 and limit from 1 to 2.

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A: The integral ∫x2-x+6x3+3xdx, we have to evaluate the value of this integral.

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A: Apply integration by parts:

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A: Question 4: The graph of the function is shown as:   y = - 3 x4

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A: This dataset displays the five-year average temperature change in Western European nations. Every…

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A: The mean is $31,000, standard deviation is $3000.

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A: double integrals

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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.