Given the following linear system equation: y+x-4=0 6z + 8y +9= 3x 4y40 = 6z + 2x Using Cramer's rule, D,=?

Q: 4) What rule and unit vectors are used to do 3-dimensional graphing? Graph the plane, R = 3x-2y +62…

A: To Explain: The rules of plotting the plane R: 3x-2y+6z=4.

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A: We will use Stoke's theorem to solve the following problem

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Q: 14. If R is a ring, then show that R/(OR) = R

A: Introduction: The quotient ring or a factor ring is an important ring in the theory of ring. For a…

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A: Kindly note that there is only one brown page visible in your question post and it has only one…

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Q: 7 Determine the solution to the I.V.P. y"+7y'+12y=21e³, y(0)=,y'(0) = -10

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Q: Find a Taylor series for the function f(x) = ln(x) about x = 0.

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Q: 3. Express into standard form: = = 8[cos (-5) + + sin(-5)] Z i 3 3

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Q: Determine the Fourier transform of the given function: t, 0 < t < 1 0<t<2 f(t) = 2t - 1, 0,…

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Q: Note: Preliminary survey information provided in the sketch below is for use in answering Questions…

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Q: Determine if the series is convergent or divergent using Ratio test. Σ 42n+1(n+1) n=1

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Q: (i) n=1 (-1)2-1 би

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Q: Consider y' - 2y = 3e2x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k₂ needed in the…

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Q: 10 5-2 sin 8 a. find the eccentricity and identify the type of conic; b. write an equation of the…

A: Note:- Standard form of conic :- r  = ep 1-e sinθ  then conic is 1. If e &lt;1 then Ellipse. 2. If e…

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Q: Solve the following PDE (Paryial Differential Equation) for t > 0. Express the final answer in terms…

A: The given P.D.E is                    utt=7uxx  , x&gt;0u0,t=0ux,0=1utx,0=0 To find: the value of…

Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

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Q: 6. Let F(X) = x²³² +6₂x²2²-15x-10 a) Find the intervals of increase / decrease of the function b)…

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A: Given: The arc of the parabola y = x^2 from (1, 1) to (2, 4) is rotated about the y- axis.

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Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler or Runge-Kutta method, what is…

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Q: 8 Given a function: f(x) = (x-7)(x-1) Write down the definition that lim f(x) = L x→a 8 Prove that…

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Q: Find the Laplace Transform F(s) of: f(t)=te-ktsin(t)

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Q: 1. Determine y(t) if y(0)=0. dy dt S +5 ydt + 2y = 10

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Q: olve the differential equation y'(t) - 2y(t) = e2t; y(0) = 1.3. Vhat is the value when t = 1.20?…

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Q: 5. Suppose that a water tank is shaped like a right circular cone with the tip at the bottom, and…

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Q: (4,5,0), (0,2,1), 5. Find the area of the points (4,3,0), (0,2,1), (2,0,5). 6 a1 1 11 b-[-1 1 11…

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Q: Evaluate the inverse Laplace transforms of the following: 1 4 이름 + S s+9 -5 20 1 -+ + st3 5s-3 ㄷ 7…

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Q: 11 In this question, take the number n of stages of a binomial variable X~ B(n, p) to be fixed, and…

A: Solution : For solution of d, e we take  direct results of binomial distribution. for…

Q: f(t) (² 1) = (1; 0 2 -28 -28 e S Option 4 -28 S Option 3 -28 S Option 1 1 + 1 e 1 S 82 -28 + + 82…

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Q: By using Laplace transform to solve y" + y = e with y (0) y (0) = y" (0) = 0, what would be Laplace…

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Q: If the L[ e atsin2t] = a/( s² + bs + 74), determine the value of b.

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Q: Evaluate the following integrals using residue theorem: (a) x² Loo (2² + 9) (2²+4)²0

A: As per the policy, we are allowed to answer only 1 question at a time, I am providing the same.…

Q: 1) Find a power series representation for the function and determine the interval of convergence.…

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Q: Let Qe R\Q be the set of irrational numbers in R. Consider A = Qºn (√2, √3) as a subset of R,…

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k₂ in the…

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Q: 3. Determine a(1.9), a(2.7). t 1.3 1.8 a(t) 1.1 2.5 2.3 3.1 3 4.2 3.8 5.1

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Q: Let B = Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by 1-n f(n) = ans where an=…

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Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 a. is an ellipse;…

A: If we compare given equation with general equation of conic section, that is ax2+ by2+ 2hxy+ 2gx+…

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Q: Find the number of positive integers X smaller than 12849 which have exactly 2022 positive divisors

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Q: Consider the following lines. r(t) = (3t+3,5t +4, 5t+5), for -∞0<t<∞0 R(s) = (s+2, 2s+2, -5s + 10),…

A: Introduction: Like two dimensional geometry, a line can also be represented in three dimensional…