What is the relationship between the characteristic polynomial and the eigenvalues of A?

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A: Determine the elements of ℤi1+2i Note: 1+2i is an ideal and ℤi is a Gaussian ring. Hint: It has 5…

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Q: 1. An 8-sided fair die is rolled and the number on the top of their face is observed. Record an…

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Q: In each case, verify the Divergence Theorem by evaluating both integrals involved in the statement…

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Q: it says your answers are wrong

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Q: If the rank of the matrix

A: Given that the rank of the matrix 1324-1-3532659396m is 2. To find the the value of m.

Q: Please answer this question asap I will rate you for sure.   You were asked to find the equation…

A: Sol:- The center of the hyperbola is the midpoint between the two foci, which is (4, (-3-9)/2) = (4,…

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Q: Write the equation of a plane that contains the point P(2,-4,1) and is parallel to the line (x,y,z)…

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Q: Solve the following linear programming problem. Maximize: z= 4x +9y subject to: 6x + 7y ≤42 12x+y≤42…

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo, and then find the nth…

A: For the given functions a) f(x)=ex,x0=1 (b) f(x)=1x, x0=-1 To find the Taylor's series for orders,…

Q: b) Find the Taylor series expansion about Z₁ = πi for f(z)= e ² ID

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Q: For the network in figure 2 (with the given intial flow), use Ford-Fulkerson to show it is a maximum…

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Q: Problem 6. In class, we learned a simple symmetric shift cipher (a.k.a. Caesar cipher). The secret…

A: (a) The given plaintest is              "CSCI IS COOL"        ≡ 2 - 18 - 2 - 8 - 8 - 18 - 2 - 14 -…

Q: Find df (82 + 6y) dA where Dis depicted below. D Q

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Q: The differential equation ------------ ------ 6 - h(x) lim x+ ( f(x) - 6 6 - h(x) x+ ( f(x) - 6 lim…

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Q: Express the vector u below as a sum of two vectors ₁ and 2, where ₁ is parallel to the vector given…

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Q: Find the dimension and a basis of U = r2s+t 0 -3r s-t r, s, tER

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Q: the period of the following trigonometri y=3cos((4x)/(7))

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Q: To provide for expansion, a company has established a sinking fund earning 8% quarterly. The fund is…

A: Sol:- To find the periodic payment, we can use the formula for the future value of an annuity: FV =…

Q: 1. Find the unit vector in the same direction of V=. Graph the corresponding vector in a rectangular…

A: Introduction: Unit Vector: A vector is a quantity that has both magnitude, as well as direction. A…

Q: Thermistors measure temperature, have a nonlinear output and are valued for a limited range. So when…

A: Given: 1T=a0+a1lnR+a2lnR2+a3lnR3 To find: Approximate value of temperature in °C for a measured…

Q: hich subsets of the unit sphere S of R³ correspond to the real and imaginary axes in C?

A: Subset of unit sphere

Q: Let ut satisfy the recursion with u = 3. = Ut+1 (4ut + 1) mod 5 = Number and uz , 22: = Number Then…

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Q: A line, in R³ which passes through the point (xo, yo, zo) and with the direction vector (a, b, c),…

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Q: Show that lim inf a ≤ lim sup a, for any sequence in R n

A: Suppose that {an} is unbounded, then either lim sup an=∞ or lim inf an=-∞. Hence, in case of an…

Q: Please answer this question asap I will rate you for sure.   Find the area of the region enclosed…

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Q: 1. Fig.1 is a part of a spherical shell. It may be described as 3≤r ≤5, 40°≤0 ≤90°, 20° °<50° where…

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Q: volume of the region under the surface.

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Q: ! Problem 5.) Show that Fy is not a field, Hint: Find a non-zero element in Fy with no Fy with no…

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Q: Make sure that all your answers are explained carefully. (a) Find the prime factorisation of 75,…

A: We will use simple factorization process to solve these problems.

Q: 1. For each of the following programs: (b) Transform the program into standard equation form. List…

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Q: Find a general solution to the differential equation. y" - 2y'+y=t8et The general solution is y(t) =…

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Q: Graph the inequality. yzx-6

A: Given inequality is y≥x-6. To graph the give inequality, we shall first plot the equality y=x-6.…

Q: 16 (2x - y) dA, where R is the region in the first quadrant enclosed by the circle x² + y² = 16 and…

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Q: Represent the line segment from P to Q by a vector-valued function. P(4, 0, 7), Q(3, -3, 4) r(t) =…

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Q: the exact value of the logarithr log_(4)(2)+log_(4)(8)

A: Given that: log42+log48. To find:  Find the value of the logarithm. To find the value of the…

Q: 3. a. Use Microsoft Excel or otherwise to draw the graph for each of the following functions to…

A: Given: Fh=-5 Gh=h2-5 Mh=5-h To do: Use Microsoft excel or other software to graph the functions…

Q: -x-1 -√1-x² Graph the function f(x) to calculate f f(x) dx in terms of area. -3 if x ≤ 0 if x>0 and…

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Q: Solve the problem. Describe all solutions of Ax = b, where []· Describe the general solution in…

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Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on…

A: Introduction: The volume integral we need to evaluate to find the mass of the shell is: M =∫∫∫…

Q: Windies Cricket manufactures Windies supporter jerseys. The quantity q, of these  jerseys demanded…

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Q: «Σ(;)" 2 (b) (1 + i)k (c) 2i k=12 Σ «Σ(#) (1) Σ (1) * «Σ(1214) k + k + k=1 Find the sum of each of…

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Q: Evaluate the given integral by changing to polar coordinates. 1/16e=x²-1² dA, where D is the region…

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Q: Caleb, Danny and Ethan had a total of $837. Caleb had the least amount of money The ratio of Danny's…

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Q: Consider the equations A) x² – 3x x² - 9 x² Which of the following statement is true? = 0 and B) x²…

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Q: Demonstrate or explain why the system (P(R#), +, *) is NOT a field, that is, demonstrate or explain…

A: Given,   P(R#)=anxn+an-1xn-1+.....a1x+a0  ;  n≥0 , a1,a2,..,an∈ℝ which is a polynomial ring w.r.t.…

Q: Use Gaussian elimination to solve the following systems (a) 2x + 3y Y I 13 -1 I (b) I Z + y -I −x +…

A: Introduction: The Gaussian elimination method, also called row reduction method, is an algorithm…

Q: Exercises: prove that 2) tań z = z-

A: Prove that tan-1z=z-z33+z55-.....