Diagonalize -2 A = 3 -3 -2 2-2 -2 i.e., find an invertible P and diagonal D such that A = PDP-¹, using the fact that the eigenvalues of A are λ = -2,-1,0.

Q: x+a__1 x-b 4

A: We can solve the given problem by cross multiplying the terms.

Q: This furniture business makes tables and chairs. In each chair, It takes three hours to make the…

A: We need to maximize the profit.

Q: Does the vectors v1 = (-3, 7) and v2 = (5, 5) form a basis for R2?

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Q: (1.0) Find the value of the integral defined 1 [²(t ; t ² ; e²) dt t;

A: To evaluate: ∫01t; t12;etdt

Q: 3 an eigenvector of -4 F 2 19. Is ·- 9] -5 1? If so, find the eigenvalue. 4

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Q: The triangle ABC has a centroid sides measure AB = 67.83m, BC= 33.25 m, and CA = 62.51m. Compute the…

A: Given that: AB =c= 67.83m, BC=a= 33.25 m, and CA =b= 62.51m We have to find the distance from vertex…

Q: 3. Compute and completely sin (a) f(x) = 7-x+2x²

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Q: Solve the system of equations, using an augmented matrix or otherwise. If the system has an infinite…

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Q: Construct the truth table of [~(p ^ q)] V r

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Q: A movie club surveyed 150 high school students. The students were asked how often they go to the…

A: This is a problem related to percentage parts of the mathematics. Based on the formula of percentage…

Q: 4) Tro

A: answer is in next step

Q: An artifact contains 42% of the Carbon-14 that it originally had. How long ago was the artjfact…

A: Use the carbon dating method to know the age of the artifact.

Q: 1 4. Choose the correct answer. Determine the restricted domain of the graph shown. y-axis 3- 2- 1…

A: To determine the domain of the graph.

Q: 30. Which of the following matrices is not diagonalizable? 20 [3 2 5 (a) 04 7 (c) 0 10 09 001 [2.0…

A: See the details solution in below

Q: (1) (2) (a) Evaluate 27 64 1 23 (b) Factorize the following completely 8x²y-2y²x

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Apologies for the…

Q: Multiply. (4√10+2)(√6-3) Simplify your answer as much as possible.

A: We can multiply and simplify the answer as below.

Q: state The Theorems in Algebra:- Caushy Lagrange

A: Cauchy's theorem (in algebra) Cauchy's theorem is a theorem in the mathematics of group theory,…

Q: Complete the table shown to the right for the population growth model for a certain country. The…

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Q: Find a7, the seventh term of the geometric sequence whose first term is a₁ = 9280 and whose common…

A: topic - geometric sequence

Q: Given x(t) = t^3 − 3t + 1 y(t) = t(t + 1)  Find the value of t at points (1,0) and (3,6)

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Q: Erik Allen repairs photocopy machines. According to his schedule, he needs to visit 5 different…

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Q: 9. Which statement best describes the end behavior of f(x) = 9-3x - 4x²+2x³7 O f(x) approaches as…

A: End Behavior of the polynomial : If the degree of the polynomial is even and leading coefficient is…

Q: Graph the solution of the system of inequalities -8 x+2y ≥ 4 3x-2y4 -6 x ≥ −2 y 4 -4 * -2 81 6 2 -2…

A: The solution of the system of inequalities  is the intersection region of the solution of the all…

Q: Given the function f, a) determine the first derivative f', b) solve for the critical number/s (if…

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Q: Evaluate: 138 O 106897 O 51891840 O 1287 O 120

A: Consider  13C8

Q: Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has…

A: Given query is to find the present value of the home.

Q: Which of the following is the inverse of f(x)=√x²-4? ƒ˜¹(x)=√√x² −4 ƒ˜¹(x)=x−2 Option 1 Option 2…

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Q: For each sum or product, determine whether the result is a rational number or an irrational number.…

A: As per guideline we will only solve question number a,b and c in the following step. If you want…

Q: Assume the exchange rate from US dollars (USD) to Japanese Yen (JPY) is 1 USD = 106 JPY. If you…

A: Given example is example of direct proportion . 1USD=106JPY99USD=xThereforex=106×991x=10494 JPY…

Q: 1 Describe the graph of y = 2x-10 of y = 1/2. - 3 compared to the graph

A: The Graph of y = 1/x

Q: Write the first six terms of the arithmetic sequence. 5 1 a₁ 2 (Type an integer or simplified…

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Q: Given: A = {1, 2, {2}} Which of the following statements are true? a.1 € A b. {1} € A c. {1} ≤ A d.…

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Q: Evaluate: y Ps O 360 O 35 O 210 O 21

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Q: □ O 1. Choose the correct answer. Find the quadratic equation given the points (-4, 0), (2, 0), and…

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Q: Use the quadratic formula to solve. 1/9y^2 = -y - 1/36

A: Given, 1/9y^2 = -y - 1/36 1/9y^2 +y + 1/36=0 It is of the form ax²+bx+c=0

Q: Consider a system of linear equations A [] - 6 where -2 b and A-¹ Find the value of y in the unique…

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Q: 1 Find a polynomial function of degree 3 with - 5,0, 2 3 9 5 O A. f(x)=x²-x² + O B. f(x) = x³ + 3 92…

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Q: 26. Find h in the matrix A below so that the eigenspace of A corresponding to λ = 4 is…

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Q: 123 253 108

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Q: How many integers greater than 120 but less than 540 are divisible by 5?

A: Given Problem:- How many integers greater than 120 but less than 540 are divisible by 5?

Q: Graph the linear inequality. -3x - 5y ≤ 15 OA. ✔ O B. G O D. G

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Q: The point P = (1, y) lies on the unit circle shown below. What is the value of y in simplest form? y…

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Q: 4. Determine 3 values for 5. Determine 3 values for such that cos- such that cos@-0

A: We have to find the solution for the trignometric equations.

Q: Prompt: Use the Pythagorean identity, (x² - y²)² + (2xy)² = (x² + y²)², to create a Pythagorean…

A: NOTE:- AS PER BARTLEBY GUIDELINES WE WILL ANSWER FIRST THREE PART OF THE QUESTIONS.

Q: 14. The vector x is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x. (a)…

A: We can solve this as follows:

Q: Find f(x) and g(x) such that h(x) = (f. g)(x). h(x) = - = 2² -6 1 O f(x) = ₁ g(x) = x² - 6 f(x) =…

A: Given query is to find the composite function.

Q: A contractor has a job which should be completed in 120 days. At present, he has 80 men on the job…

A: The required question is to be solved using the formula for time and work problems that is…

Q: 8. Simplify the following expression using the change-of-base formula: log27 729. ○ 2 O 01 0 3

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Q: The point (2, 3) is on the terminal side of angle e, in standard position. What are the values of…

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Q: Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and…

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