Let A be and B be n x n matrices, assume that is an eigenvector of the matrix product AB. Assume that Bx ‡ 0. Prove that Bx is an eigenvector of BA.

Q: Determine whether the differential equation is separable. (xy3+5y3)dy-2xdx=0

A: The given differential equation is .We have to determine whether the differential equation is…

Q: What function is graphed below? Y=? 4 2

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A: Given function  (1) the given function f  is even as   , So this is symmetric about y axis . (2) The…

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A: A function is .To Find:a) Inverseb)Graph the inverse function of the given function.c) Domaind)…

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Q: Let f(x, y, z) = xy +z6, x = r + s = 4t, y = 3rt, z = s7. Use the Chain Rule to calculate the…

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Q: or neither. If the figures are similar, state the scale factor. W 12 11 10 9 8 7 6 5 X4 3 2

A: The given figure is:To Check: Whether both figures are congruent or similar.Also, To Find: Scale…

Q: Review the two histograms. Number of Households (in thousands) 9000 8000 7000 € 6000 5000 4000 3000…

A: First histogram shows the number of family households according to their age range. Second histogram…

Q: Solve the equation and/or inequalities for 2000 and 2010 y=37.00003x²+.00 11x³0102x² +.3051X…

A: As per the question we are given the following 5th order polynomial equation :y = 3e-7x5 -…

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Q: Realistic mathematics education may be described as having three phases, the starting point being…

A: Realistic Mathematics Education is an approach to teaching and learning mathematics that aims to…

Q: Can you please elaborate on part b? I am having trouble understanding the solution

A: Confusion comes when you view f as a function, instead read the statement replacing f by "c"

Q: Question 2 > Suppose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional…

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Q: Consider the partial order with domain {3, 5, 6, 7, 10, 14, 20, 30, 60, 70} and with x ≤ y if x…

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Q: Prove that in an integral domain if there exists a greatest common divisor of any two elements, then…

A: We have to show that ,in an integral domain if there exists a greatest common  divisor of any two…

Q: Let n be a positive integer. Define the function fn(z) by dn dzn Find the value of f(-1 + i). fn (2)…

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Q: 2. Questions 2-5: You must show all the steps Find the polynomial f(t) of degree 3 such that ƒ(1) =…

A: Let solve above problem using Cramer's rule.

Q: Donna De Paul is raising money for the homeless. She discovers that each church group requires 2…

A: Letter writingFollow upDonation from each groupChurch GroupLabor unionMaximum available time

Q: Consider function g(x) = 4 - x2 on interval [0; 2]. Compute approximations to area under curve,…

A: Given function is  on interval .Also given partition is  .Using Upper sum formula :

Q: 6. Suppose that the number of items sold after t months is modelled by 500t (25t + 2)² a. Find N'(6)…

A: We have to find the first and second order derivatives of N(t) then substitute the values.

Q: Verify that the given two-parameter family of functions is the general solution of the…

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Q: End of Year Cash Flow Series A Cash Flow Series B Cash Flow Series C 1 2 3 4 5 -$1,000 X 1.5X 2.0X…

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Q: Find and classify the critical points of z = = (x² - 6x) (y² - 4y) Local maximums: Local minimums:…

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Q: In every principal ideal domain each pair of elements surely has   a lowest common multiple

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Q: Evaluate the following limit. lim ef(x,y)²-6g(x,y) (x,y)→(2,5)

A: We have limiting values for function  at point .That is, we have                              we…

Q: (a) If p 1, what can you conclude about the model and objective functions? (b) If p<0, what can you…

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Q: Suppose that the organisms learn to colonize other planets and moons in their solar system. The…

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Q: Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then…

A: The system of equation:We have to solve the system by back substitution.

Q: What is the rate of change of the volume of a sphere with respect to its radius when the radius is 5…

A: The concept that we are going to use to solve this problem is differential calculus. In this…

Q: Question 2: Answer the following True or False questions legibly by writing the whole word. There is…

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Q: Examples. Justify your answers briefly. Using our construction of Z by the method of order pairs,…

A: Using our construction of Z by the method of order pairs, explain why 2 - 3 = -1

Q: y-1 = x²y-xy-x²+x f(x,y) (i) f is continuous at every point of its domain (ii) the domain of f is…

A: Let's analyze each statement one by one:(i) f is continuous at every point of its domain.To…

Q: What are the necessary and sufficient conditions for a complex-valued function to be analytic in a…

A: Analyticity is a fundamental concept in complex analysis. A function of a complex variable is said…

Q: et K and E be the extension of a field F with [K:F] finite and assume that both K and E are…

A: Let K and E be the extension of a field F with [K:F] finite and assume that both K and E…

Q: Let D be an integral domain with unity 1. Two non-zero elements a,beD are associates if and only if…

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Q: لالا الله ہد محمد الله zee - ax على xeyis } = fasy 150

A: We have to find the Laplace transform of the given function.

Q: An element x in R is called nilpotent if x = 0 for some m € 2¹. Let x be a nilpotent element of the…

A: An element x in R is called nilpotent if  for some .To Find:a) Prove that x is either zero or zero…

Q: 16. Assume that f(x) = cotx. Then 2 a. 1 f'(2) b. -1 11 c. 2 d. -2 4 e.none

A: Derivative of  is .Derivative of  is .

Q: Visits per 100 people 800 700 600 500 400 300 200 100 0 Under 15 Visits to Doctor by Age-Group 15-24…

A: From the graph,1. People between 64-74 visits total 650 times .People between 15-24 visits doctor…

Q: Determine which functions are solutions of the linear differential equation.y″ − y′ − 6y = 0 (a) e3x…

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Nid Find an equation…

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Q: Consider the linear program below and answer the following. Min s.t. Min s.t. 11A + 7B Α, Β Σ Ο (a)…

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Q: This question is regarding the proof of the formula rd [*° f(x)dx = bƒ(b) — aƒ(a) – [ª g(x - g(x)dx.…

A: Given that  is a continuous and strictly increasing function which maps the interval [a,b]…

Q: The plane z = Ax+By+C is to be "fitted" to the following points (XkYkZk): (1,-1,0), (-1,-1,1),…

A: Let Put the given points in f we have Now, we have minimize this function.

Q: Review the graphs of people's spending habits. The first graph represents the spending for people…

A: Spending for people of the group 55-64 and 75+ are given.We will calculate spending for both the age…

Q: Two Ferris wheels are rotating side by side at the Math Fair. Ferris Wheel A has a diameter of 18m…

A: Let us find the sinusoidal function for one gondola

Q: Which of the matrices that follow are Hermitian? Normal?

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Q: How does one find the inverse Laplace transform for the arccot(1/s)?

A: Let,

Q: State and prove the alternating series test for infinite series.

A: Let us prove the given theorem

Q: (b) Determine the general solution for y" - 2y + 5y = 0 and the solution of the IVP y" - 2y + 5y =…

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