Q6. Given the system represented by the augmented matrix, solve for the value of x2? (Enter numerical value only.) 0 -2 -3 -33 14

Q: j) x' = 2x + H(t-1), x(0) = 0.

A: Given initial value problem is ,      x' = 2x + H(t-1)   ;    x(0) = 0 (.) Property of Laplace…

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. -31² t+5, X(t)…

A: Here first we find eigenvalues and corresponding eigenvectors. Then find particular solution

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Q: Out of 200 students, 86 use fb, 68 insta, and 29 use both. How many students surveyed use neither fb…

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Q: The number (in millions) of employees working in educational services in a particular country was…

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Q: 2 Find the length of the curve y = 3/2 from x = 0 to x = 4.

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Q: QUESTION 2 1 -2 -3 3 column space.) Let A = 4 -1 6 -6 -1 9 -6 -6 -9 4 9 -3 9 -10 -3 0 Find the…

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Q: A Use the divergence theorem to calculate the flux of the vector field -2xyi – 3yzj — 4xzk through…

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Q: • RxR. (a, b) ~ (c,d) iff qd=cb Reflexive? Symmetnic? Transitive?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: = Determine the vector that represents a vertical shear of X k = 6. [13] in the plane with a factor…

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Q: 20. Evaluate the following triple integrals: 231 a) b) ¡¡ Sx²yz³ dxdydz 000 js 2-1 Answer: a) 6 -2…

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Q: 53) Rewrite the integral (-1/1)(x²/1)(0[1-y) f(x,y,z) dzdydx

A: Rewrite the triple integrals

Q: Prove that if T is one-to-one, then the kernel of T contains only the zero vector. Start with the…

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Q: (c) f(t) = 0, t<3 t² + 3t-8, t≥3

A: Laplace transformation of the pecice wise function

Q: Exercise 6.3.7 Completely factor x4 + 16 as a product of linear factors. Hint: Use the result of…

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Q: A person buys a phone for $89 and signs up for a single-line phone plan with 2000 monthly anytime…

A: The monthly cost of the single-line phone plan with 2000 monthly anytime minutes is $116.95. Here…

Q: you make it more clear because I cannot understand what it is written.

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Q: at) Show that A satisfying A P-1 F P-¹BP. 0 0 4 2 2 and B P -4 2 +1 2 1 6 are similar matrices by…

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Q: Solve the following differential equation initially at rest: d²y(t) dy(t) dt² Let x (t) = 3 u(t).…

A: The given problem is to find the solution for the given differential equation with given condition…

Q: 6. Find the total upward flux of F(x, y, z) = yi + xj + zk over the surface o: z = 1 - x² - y² above…

A: Given: F(x,y,z)=yi+xj+zk           Surface,σ:z=1-x2-y2 To find: The total upward flux of F(x,y,z)…

Q: a) f(x) = -e (x+1)-1 x y = 2-x Transformation: Domain: b) f(x) = sin ¹(x + 1) + 1/2 P = x=y= sinx…

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Q: Format The lettere will be recognised as Euler's number Give your answers in exact form. The…

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Q: The Bessel function Jn (x) has the integral representation J₁(x) = = * cos(x sin 0 - ne)do. л Jо…

A: Given that the Bessel function Jnx has the integral representation: Jnx=1π∫0πcosxsinθ-nθdθ. To…

Q: Diagonalize the following matrix. 8-50 5 0 41-2 0 0 03 0 00 3 Select the correct choice below and,…

A: Let given matrix is ,       A = 8-5 0  50   4 1-20   0 3   00   0 0   3  Matrix  A is said to be…

Q: 3. What transformation occurs from the graph of the function of y = tan x to y = 1 + tan x? Graph…

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Q: Compute the flux of the vector field F = 4yỉ + 4j − 4xzk through the surface S, which is the surface…

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Q: [n^2cos(n/2)] / 2n^2 +1 does this sequence converge or diverge & w

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Q: Can you please solve this question Show that sin 75◦ = cos 15◦ and find all the exact trig values of…

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Q: A. In your own words, what is Newton's method used for? B. Use Newton's method with 3 iterations to…

A: An equation sin(x) = x - 1 is given with an initial value x0=1. The aim is to find the roots of the…

Q: K Let A = 90 01 Find 4A + 2B. 4A+2B= and B= -9 2-6

A: Solution :-     The given matrix are                                                           A =…

Q: Use the first derivative test to determine the local extrema, if any for the function

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Q: The Panamanian Balboa, a currency coin in Panama, is 1.35mm thick. If we stack up 20,000 balboas,…

A: Given: Thickness of one Balboa=1.35 mm            Total number of Balboas=20,000To find: Height of…

Q: table shows the results of a survey of 500 authors by a publishing company.   New Authors…

A: Given total Authors=500                                                  New AuthorsEstablised…

Q: Compute the surface integral over the given oriented surface: F = (0, 4, x²), hemisphere x² + y² +…

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Q: Evaluate SF-d F=(x² + y²)i-2xy j clockwise in the xy-plane x=0, x=4 and y=0,y=2. and C is the F-dr…

A: We know, for a force F→=P,Q, the line integral ∫CF. →dr→ is given by ∬(∂Q∂x-∂P∂y)dA, according to…

Q: 1 a 0 b 1 -1) 31 For which values of a and b is-2 invertible? Why?

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Q: Use Green's Theorem to evaluate the line integral of F = (x6,3x) around the boundary of the…

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Q: Let g(x, y) = −4 - x3 + x2 - 6 - y2 - 3. a. b. дд дх ав a дд ду ав sin (a) sin (a) Show/hide Ә Ox f…

A: gx,y=-4x3+x2-6y2-3

Q: QUESTION 6 Given the following bipartite graph. The number of maximum matching is OOO 10 2000 9 F 11…

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Q: I appreciate the solution, although it is a little hard to follow. If you could use a  carrot to…

A: Here S is closed surface. Consisting two surfaces S1 and S2 . S1: z=4-x^2-y^2 S2: z=x^2+y^2 The…

Q: 6) Given the data 0.90 1.42 1.30 1.50 1.61 1.31 1.35 1.47 1.95 1.66 1.96 1.47 1.92 1.35 1.05 1.85…

A: Given: The data of 25 observations is given.To find: a) Mean              b) Median              c)…

Q: The U-Drive Rent-A-Truck company plans to spend $16 million on 310 new vehicles. Each commercial van…

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Q: Suppose that T is the linear transformation in R3, which is the rotation of a vector about the…

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Q: 6) Find and classify all critical points, relative and absolute extrema for the function ƒ=x − 3…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Given: There is the region bounded by the curve xy = 2, x = 0, y = 2, and y = 4. To find: Our aim is…

Q: 28. [ TT/3 TT/6 2 csco csc o 2TT 0 p² sin o de dp do

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Q: Calculate f f(x, y, z) dS For Is f(x, y, z) ds = x² + y² = 4, 0≤ z ≤ 9; f(x, y, z) = e-²

A: We have to calculate the integral ∬Sfx, y, zdS. For x2+y2=4, 0≤z≤9; fx, y, z=e-z.

Q: If $5000 is invested at 5.25% compounded continuously, what is the amount in the account after 10…

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Q: 4. Suppose that a positive integer is written in decimal notation as n = akak-1 a2a1ao where 0 <a;…

A: Here, we use theory of congruences.