1 and (¹)- 21. The matrix A = (_-¹2) is diagonalizable with eigenvectors (¹) =( Explain why A is diagonalizable, and find the diagonal matrix using the similarity transformation C-¹AC = D. What were the original eigenvalues?

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A: Find the value of k such that the remainder when f(x) = 2x3 + kx2− 3kx + 2 is dividedby x − 3 is 5.

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Q: Q1: Use the gamma function to solve the following: 1- 2²edt

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A: We need to find r.

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Q: = {W₁, W2, W3} is a basis for R³, where 1 3 H W2 = 3 W3 -2 -4 Determine if the set B W₁ = 2 9 = -3 A

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Q: a) b) -5 domain range = m = KEH THINGIMININ 20 0 5- 14 WWWXHIMIN www.*** 2 **---* 3 5 **** (0,0)…

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Q: 22. The distance D that a spring is stretched by a hanging object varies directly as the weight W of…

A: Answer :- The distance D that a spring is stretched by a hanging object varies directly as the…

Q: RADICALS AND QUADRATIC EQUATIONS 1/5 Finding the x-intercept(s) and the vertex of a parabola Find…

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Q: 8. Let V = {(x,y)x,y e R}. Define addition on V as follows: (x,y)+(x₂,₂)=(x₂+2x₂-Ly,+ y₂ +2) e-mon…

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Q: Q4: Answer (3) only : 1-1+1+²+³+{* =? (a: 41+1 b:-1 2_12+3al-4b-271, then a+b-? (a:-9 3- The…

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Q: 20. Which is (are) the initial condition(s) for the Fibonacci sequence? O F₁ = 1 O Fo=0, F₁ = 1…

A: Solve the following

Q: } 9. (An B)U(EnN)' 10. B'nE'nA'ON'

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Q: Suppose a charity recieved a donation of $18.3 million. If this represents 51% of the charity's…

A: Given charity received is $18.3 MillionThis amount is 51% of charity's donated fundsLet the total…

Q: 14. Prove that (1- cos x) csc x = 1

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Q: x- 2. Find a vector equation of a plane that contains the line y+2 -2 and the point A(1,2,1).

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Q: Consider the following. T is the reflection in the y-axis in R²: T(x, y) = (-x, y), v = (3,-2). (a)…

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Q: For items 24-25: Let A be a 4 x 4 matrix and suppose that |A| = 5. Compute 24. |2A-¹1 16 16 A. 200…

A: For items 24-25:- Let A be a 4x4 matrix and suppose that lAl = 5. Compute Topic :- Matrix

Q: 1. Determine if the graph is periodic. If it is, what is the amplitude and period? 41 64-20 2) Graph…

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Q: use the approach in Gauss's problem to find the following sum of arithmetic sequences.…

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Q: Suppose you invest $78 a month in an annuity that earns a 2.8% APR, compounded monthly. How much…

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Q: Write an equation for the line graphed below -6 -5 -4 -3 -2 -1 In 5 4 3 2- 14 -1- -2 -B- -4 -5 -6 y…

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Q: Let f(x) =3x^2+6 and g(x) =4x-8. Find the composition. (f o g) (x)

A: Given.

Q: Perform the operation below: BxC B = 7i+2j + k C = 3i + 4j + 2k

A:

Q: How do you solve two-step linear equations

A: Concept of solving of two step equations

Q: When entering your solutions do not use spaces or parentheses. For example, is entered as - 3/x^3.…

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Q: Which is the correct equation of the line for the following graph? Ay 6- 4- 2- X -10 8 6 4 22- AU…

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Q: Find the matrix of the quadratic form. 8x1x2-10x1x3 + 8x2x3 Select one: OA. 08-10] 80 8 0 O B. O C.…

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Q: The principal p is borrowed at simple interest rate r for a period of time t. Find the simple…

A: This question can be solved using the concept of simple interest.

Q: 12. Consider the function f(x) = -3 x 2x a) Construct a table of values for the function. Use an…

A: Given problem:- Consider the function f(x) = = −3 x 2x   a) Construct a table of values for the…

Q: QUESTION 24 You have $4500 that you invest at 7% simple interest. How long will it take for your…

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Q: QUESTION 23 You have $3500 that you invest at 4% simple interest. What is the balance after five…

A: Given :Principal = $ 3500Rate = 4 %=4100Time = 5 years

Q: In Pascal's triangle, the term tnr is equal to the sum of tn-1,r-1 and a) tn.r-1 Ob) tnt1,r c).…

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Q: 0 = (0-0) + (9-0) + (0-9) P

A: We can solve this as follows: