Problem 16. At a certain height, a tree trunk has a circular cross section. The radius R(t) of that cross section grows at a rate modeled by the function dR 1 (3 + sin(t²)) centimeters per year de 16 for 0sts 3, where time t is measured in years. At time t = 0, the radius is 6 centimeters. The area of the cross section at time t is denoted by A(t). (a) Write an expression, involving an integral, for the radius R(t) for 0 sI 3. Use your expression to find R(3). (b) Find the rate at which the cross-sectional area A(t) is increasing at time t = 3 years. Indicate units of measure. (c) Evaluate A'(1) dt. Using appropriate units, interpret the meaning of that integral in terms of cross- sectional area.

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A: The given matrix operation,The aim is to find the given matrix multiplication.

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A: We can solve this as follows:

Q: Problem 5. A 2-error correcting code must have Hamming distance at least 5.

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Q: 6 25

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A: The solution are next step

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A: Here ask to find factors of given equation

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.