Set theory question Show  that if the maximum /minimum elements of A exist. Then it must be unique

Q: Q3: The matrix differential equation of the state variable model of a system has 0 1 -17 A = -8 -12…

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Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy + 2xy = f(x),…

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Q: 3)If X(z)= 2²-0-5z z²+0-75z+ b) X(n) = [4"-3"]u(n) c)) X(n) = [4¹-3"]u(n) . † 4) If X(2)(z-30)(2-40)…

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Q: a b с Let A = d e f 9 h i Which of the following matrices has the same determinant as A? Select one…

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Q: Determine the values of r for which the differential equation y" - 4y = 0 has solutions of the form…

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Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: Consider the following autonomous first-order differential equation. dy = y2(9 - y²) dx Find the…

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: dy a) Show that the equation = x² - 11y² 10xy is homogeneous. dx The equation is homogeneous because…

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Q: Q1- Choose or branch ( A-find the optimum values of X₁, X2, and X3 3X1 +2X2-X₁ = 1 2X1-2X2-4X3=2…

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Q: Q2:/Sketch the region (R) of integration f (x² + y²) dydx and evaluate the integration. Then reverse…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Let f(x) = x² and g(x) = xf(x). Find c = (0,1) as guaranteed by the Cauchy Mean Value Theorem.

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Q: The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be…

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Q: werty that the indicated function() explicit solution of the given first-order differential 2y² = y²…

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Q: Express in p/q form 1) i) 0.005 ( bar for 005) ii) 1.3 ( bar for 3) iii) 4.78 ( bar for 8

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Q: Load in the SURVEY10 data from the regclass package. Run the associate function with 1000…

A: Given: data=SURVEY10seed=5150permutations=1000 To find: Solution

Q: Suppose that K is a commutative ring with identity. If and I are ideals of R for which R/I≈ R/J as…

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Q: Q2:/Sketch the region (R) of integration f (x² + y²) dydx and evaluate the integration. Then reverse…

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Q: distinct non-zero real numb d. Then an Eigen value of t 1 1 is

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Q: Laplas invees Q1/ Find 1 = s² (s+1)(S-1)²

A: Using partial fraction and standard formulas of inverse Laplace transform, we find the inverse…

Q: 2) The speeds of oscillation, x, of a loaded beam is given by the equation: x³ 3.25 x² + x -0.063 =…

A: NOTE: As per the guidelines we are supposed to answer only one question because of this is not a…

Q: Solve the given initial value problem and determine how the interval in which the solution exists…

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Q: Consider a 3 by 3 matrix A, where a11, a22, a33 and are all zero and a₁1 = a31. Suppose |A| ‡ 0, how…

A: Here we substitute the given values in matrix A and then perform cofactor expansion along first row.…

Q: 1. Show that the absolute value of Re(z) + the absolute value of Im(z) is less or equal to root of 2…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine all the relative minimum and maximum values, and saddle points any) of the function T…

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Q: Find the root of the equation X2 - 4= In X , use X0=1.000, Solve by Simple Iterative method.

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Q: Q2// choose the correct answer : 3z 1) If x(n) = (0-3)"u(n) ,then Z-transform= a)x(z)= 2-0-3 b)x(z)…

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Q: Suppose A is a 5 by 5 matrix and the reduced echelon form of A is U. Decide whether each of the…

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Q: 7. Let X(s)=- 2s²-s+3 (s+2)(s+1)(s-2) ROC,{s:-1<Re(s) <2}. Determine x( t). be the Laplace transform…

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Q: QUESTION 1 Check all statements that are true. if p is a polynomial of degree n, and q is a…

A: According to guidelines I can attempt only first three questions.. In these three questions we have…

Q: Given the cross product of 2 vectors u and v is, u × v = −3i + 2j – k, and their dot product is, u ·…

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Q: Q3\ using Euler method, find an approximate value of y corresponding to xe [0 -0.7]. Given = x(x +…

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Q: separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above…

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Q: Which of the following is the solution to the following system of equations? [1 3 0 2 00 1 4 0000…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: 5. 17+9x + 3x log(x) can be described as being in □ Omega(x²) Omega(z log(x)) □ Omega(x¹) Omega(x) □…

A: As per our guidelines we are supposed to answer only one question. Here question 5) answered.

Q: 16.9. ↑ Suppose that μ() <∞. Show that (f) is uniformly integrable if and only if (i) ffldu is…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y1/2 dy + y3/2 = 1, y(0) - 16…

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Q: Solve the following ODE proble using Laplace. [Ignoring units for simplicity] The average…

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Q: Using Euler's method, find the approximate values of the given initial value problem y = 5-2√y, y(0)…

A: Given: y'=5-2y To find: Solution

Q: 7. Which of the following is a sixth root of unity? Oi O-i √3 1. 0+

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Q: (m) dy=X+X+1 dx y X separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in…

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Q: Q:2) Find the first moment about the x-axis of a thin plate bounded by y = x² and y = 3x while the…

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Q: ate the order of the given (1-x)y" - 3xy' + 6y = cos x etermine whether the equation is linear or…

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Q: ve the given differential equati dy dx - (1 + x)y = xy

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Q: a = -5 and b=9 Let L: R3 -> R3 be the mapping.  L(x,y,z) = (y, ax+bz, y) How many nonsingular…

A: For the solution of the problem follow the next step.

Q: 3.15 let (fa) be a Sequence of function on [₁1] defined by fak+1 (x)= of xe lo1/3] otherwise, رع i…

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Q: A tank contains 350 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A: It is given that a tank contains 350 liters of fluid which contains 20 grams of dissolved salt. Then…