Find the eigenbasis of the matrix and diagonalize it (if possible): 4 p A = p 10 1 1 For the matrix in part (i), find A² and A using Cayley-Hamilton theorem.

Q: Can you solve and please, please show the work and formula for these word problems? I have the answe...

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Q: -2 01 l3 -5 12 -3

A: Given,          210-42-3-1-4-203-51

Q: Add the rational expressions.

A: Given To simplify 8c-3c-1+2c-1c-1

Q: For this exercise, round all regression parameters to three decimal places. The following table show...

A: Given, t=years Since 1950 P=Patents 0 4718 10 2543 20 3214 30 3949 40 8024 50 17413 ...

Q: Find the general solution of y +9y-4 cos 2r A. y -A cos 3x +B sin 3x +c cos 2r B. y -A cos2xr + B si...

A: Given: y''+9y=4cos2x

Q: 2x+5 27 3x +4 ニ 18

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Q: Find the slope and y-intercept of the line 4x – 3y +1 = 0.

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Q: Find f(x) by solving the initial value problem. f' (x) = 4+ 5x + f(1) = 5 · e + 10

A: Given : f'x = 4 + 5x + 5xf1 = 5·e + 10

Q: For a ∈ R, which statements do hold for the one-sided limit: lim x→a+ln(x − a)/ln(e^x − e^a) ? a) Th...

A: The one-sided limit of the function is limx→a+lnx-alnex-ea. Solving the limit of the function,  limx...

Q: b. For a sample of engineers, the mean salary is $95,000 with a standard deviation of S30,000. The m...

A: Given data: The mean of salary is m = $95000. The standard deviation is σ = $30000. The median valu...

Q: determine if the two lines are parallel, orthogonal or neither. n) The line by i=(4– 7t,-10+5t,21– 4...

A: Given

Q: Matrices

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Q: In the process to determine the inverse of a matrix, you will come to the following matrix reduction...

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Q: The graph of a quadratic function with vertex (1,-3) is shown in the figure below. Find the domain a...

A: Given: The objective is to find the domain and range of the graph with vertex (1, -3).

Q: For many species of fish, the weight W is a function of the length L that can be expressed by W = W...

A: Given that  W=W(L)=kL3 where k=0.05 and L=L(t)=41-t-19210      for 0≤t≤20  

Q: Please help asap. Find the 9th, 24th, and nth terms of the arithmetic sequence.

A: Explanation of the solution is given below.. And using the logarithmic property....

Q: Find the Laplace transform of f(t) = tu1 (t).

A: Given: ft=tu1t To determine: The Laplace transform of ft. Formula used: Lgtuct=e-csLgt+c

Q: Identify the and intercepts for the given linear equation Plot the graph for the given linear equati...

A: Given, line segment connecting the points (-5, 10) and (-6, 20)

Q: Solve the equation

A: Given : x + 5 - 3 = 1

Q: Add the rational expressions.

A: Given  

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million peo...

A: Given: Population of United States in 2008 was 304 million people. Population grows at a rate of 1.1...

Q: 21-3 3x-5 16 %3D

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Q: A woman can bicycle 27 miles in the same time as it takes her to walk 7 miles. She can ride 10 mph f...

A: Given, walking distance = 7 miles cycling distance = 27 miles

Q: Evaluate the function graphically. 10 -10 -8 -6 -4 -2 4. 8. 10 -2 -4 -6 -8 -10 Find f(1) 6. 4. 2.

A: Given: The graph of function as  To find: The value of f1.

Q: Problem solving and reasoning A group of 226 persons consist of men,women and children.There are fou...

A: To find the number of men, women and children in the group Suppose t be the number  of children, the...

Q: Algebra Question

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Q: Can you answer part b please  notice the question

A: Note: cost is in $Nomenclature:L =  labour rate per hourC = cost of each Plant D = fixed delivery ch...

Q: Describe all numbers x that is at a distance of 4 from number 9. Express this using absolute value n...

A: Let 'x' be the numbers that are at a distance of 4 from the number 9.

Q: Algbra What is the relationship between a matrix and the i-hat and j-hat vectors?

A: Given Statement: Relationship between a matrix and the i^ and j^ vectors.

Q: The original bill for a dinner was $49.55.  You left $10.90 extra for the tip.  What percentage of t...

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Q: Find three consecutive even natural numbers whose sum is 126 .

A: To find the three consecutive even natural numbers

Q: Expand the following using the Binomial Theorem and Pascal’s triangle. Show your work. (2x − 3y)4 I...

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Q: 34. Determine the cost of a portion of roast loin of pork if the dial pointer on the portion scale p...

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Q: Please solve immediately.

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Q: 7.-The 11colleges of interest to a high school senior include 4that are expensive​ (tuition more tha...

A: the college that are expensive = n(A)=4 the college that are far from home= n(B)=4 the college that ...

Q: Find the distance of the point (6,-3) from the line 2x-y+4=0. Draw the graph.

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Q: Solve the system of linear equations using matrices. 3x-2y-4=0 2y=12-x

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Q: To generate a Par(4) random number, u=0.6 is generated first. This will be mapped to what Par(4) num...

A: R code for pareto number generation

Q: Matrices

A: Given system of matrix is: 103-113-211100010001→103016017ABCDEFGHI By solving this: 103-113-21110001...

Q: Let f be a permutation on the set {1,2, 3, 4, 5, 6, 7,8, 9}, defined as follows f = (14 3)(5 43897) ...

A: We have given  permutation f=1 4 35 4 3 8 9 7 We can write this permutation again f=1443315438974389...

Q: A straight line passes through two points with coordinates (6,8) and (0,5), Work out the equations o...

A: Explanation of the solution is given below...

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.