Factor the following matrix into PA = LU. Factor it also into A = L₁P₁U₁ (hold the exchange of row 3 until 3 times row 1 is subtracted from row 2): 0 1 2 A = 0 3 8 21 1

Q: Lesson 15.3 Piecewise-Defined Function Evaluate the piecewise-defined function for the given values.…

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Q: A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clock position from a platform that…

A: 2. Given that,A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clockposition from a…

Q: a) 13 C, C₂

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Q: 0 22 C6 + 22 C₂

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Q: 4. Is M₂ (R) a field? Justify. I 5. Show that T = = { [ ² ] 12,9₁² € R} i 2 is a subring of M₂ (R).

A: Subring of a ring

Q: A ={ 1, 2, 3, 4, 5, 7)} B = { 1, 5, 6, 8} 22. Concatenation of string {(x,x) & A} 23. Concatenation…

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Q: two positive iontages and bare by 2, them prove that. (2° +1) is most divisible by (2²-1) let a with

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: We have to find how many terms of the series do we need to add in order to find the sum to the…

Q: In order to solve with y(0) = 1 we first (2y-5)dy = (3x² - e²)dr. After y²-5y = 2³-e²+c of…

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Q: Let A E RDXE, XE REXF, B € RFXD. Computed where g(X) = tr(AXB).

A: Let A∈ℝD×E, X∈ℝE×F,   B∈ℝF×D To Compute ∂g∂X where g(X)=tr(AXB)

Q: 3, i,A garden is rectangular being 22 m wide and 45 m long. How long is a line drawn from one corner…

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Q: Batman and Robin caught nine suspects. Their possible crimes were Assault, Bribery, and Homicide.…

A: From given question We can get below statements Total suspects =9 Possible crimes =3 ( Assault ,…

Q: ¡56 = i-67 :56 ;-67

A: As i2 = -1i3 = -ii4 = 1

Q: 5. Set up the integral to find the volume of the solid whose horizontal base is a circle of radius 2…

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Q: Nothing is known about the personal life of the ancient Greek mathematician Diophantus except for…

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Q: Which of the following statements are true about inductive reasoning? * i. All forms of inductive…

A: Inductive Reasoning: The reasoning that make specific observations and the draws a general…

Q: Kayleigh babysat for 11 hours this week. That was 5 fewer than 2/3 as many hours as she babysat last…

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Q: Q.2 The train resistance R(lbs/ton) is measured for the following values of its velocity V(km/hr).…

A: to find a, we take the following three Values of V which are in G.P.

Q: 3. Quadrature: (a) Use two point Gauss-Legendre quadrature to approximate cos(2²) dr.

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Q: - R-{-}→R-{} defined by f(x) = Show that f: R 3x-5 2x+1 is bijective.

A: Given function is f: ℝ - -12 → ℝ--32 such that f(x) = 3x-52x+1

Q: Select the FIRST correct reason why the given series converges. A. Convergent geometric series B.…

A: We will use corresponding test to check series convergent or not .  Note: maximum 3 sub part are…

Q: Which of the following is the orthogonal trajectories of the family of cissoids y² = ? a- y² = C(x +…

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Q: Given f(x)=√x-5;x#5 and g(x)=x+3. Find the domain of (gof)(x)? All real numbers greater than 5. All…

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Q: To solve we first rewrite the equation in the form and then It follows that the equation is then we…

A: To solve the differential equation

Q: Given the family C[0, 1] of continuous functions ƒ : [0, 1] → R, and the norm ||f|| = sup f(x)]. x=…

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Q: r 3

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Q: Consider the so called Riccati ODE and let y₁ be a solution. y' = p(t)y² + q(t)y + g(t). Show that:…

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Q: Let X and Y be continuous random variables with a joint probability density function (pdf) of the…

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Q: INSTRUCTION: Prove or disprove 1. Show that f: R-{-}→R - {} defined by f(x) 3x-5 = is bijective.…

A: We have f:ℝ--12→ℝ-32 defined by fx=3x-52x+1 We need to check one-one and onto. If a function is…

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 2y + z = 9 X…

A: Given equations are 2x+2y+z = 9x+z = 44y-3z= 15

Q: Suppose that a company's daily sales volume attributed to an advertising campaign is given by 56…

A: Given the sales volumes S(t)=8t+7-56t+72+6 the sales volume will be maximized when S'(t)=0…

Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A: Given: A breeder reactor converts the relatively stable uranium 238 into isotope plutonium 239.

Q: 1. Determine the two square roots of the given complex numbers in Cartesian form and show the…

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Q: Show that if A is closed in Y and Y is closed in X, then A is closed in X.

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Q: 2- Write two examples about converting from rectangular (x,y) to polar form(r.)

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Q: . Find the derivatives of the following function (a) y-²-3+2 (b) y=-2+

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Q: 3. Find lim (x,y)-(0,0) x² x² + y² whether the limit exists or not.

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Q: Evaluate curl of A and divergence of curl of A, if A = x²yax + y²zay - 2xzaz

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Q: y JJ x² + x2 DA dA R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4 y y x² + dx dy + dx dy x² +…

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Q: o solve ith the initial values y(0)=0 and solution get the solution, we assume nor B are solutions…

A: We have to solve the differential equations.

Q: Solve the following system using elementary row operations on the augmented matrix: x1 + x2 + 2x3 =…

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Q: Use the binomial theorem to expand and simplify (write out the Sigma Notation first) (5x³ - 3y²)¹

A: The Binomial theorem states that (a+b)n=∑k=0nCknan-kbk, where Ckn=n!(n−k)!k!​ and n!=1⋅2⋅…⋅n. We…

Q: Find the root of functions by Urimp Newton-Ropson Method •) f(x) = 2² ((x² +0.712) e 20.1x² -26X62,…

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Q: Batman and Robin caught nine suspects. Their possible crimes were Assault, Bribery, and Homicide.…

A: From given question We can get below statements   Total suspects =9   Possible crimes =3 ( Assault ,…

Q: =H.w.2 Evaluate the following cartesian integrals by - changing them into equivalent Polar integrals…

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

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Q: Let p and g be continuous functions in an open interval I and ão E I. Show that if Yı and Y2 are any…

A: If y1, y2 are any two solutions of dydx+p(x)y=g(x),    y(x0)=y0. where p and g are two continuous…

Q: 29 Wires go between Boston, Chicago, and Seattle. Those cities are at voltages IB, IC, rs. With unit…

A: Given y=Ax yBCyCSyBS=1-1001-110-1xBxCxS

Q: Let A, B & Mn (C) be Hermitian matrices. Then

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Q: an In each of the equation below, find equation in rectangular coordinates. a) P+3=e b) r-2= 3020

A: A polar coordinate system contains a reference point and a reference direction. The reference point…