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Q: Consider the system of differential equation I'= 3x + 2y y = 7x+6y Write the system in matrix form…

A: The given system of differential equations is      x’ = 3x + 2y      y’ = 7x + 6y   Let,      X = |–…

Q: Compute the bound on the error that you would get from usuing T3(2) to approximate 2^1/3

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Q: 10 1 0 26 eigenvalues is 4. Hint: you will have to do polynomial division. Find the eigenvalues of A…

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Q: The linear transformation is given f: R³ R³: (x,y,z) →ƒ (x,y,z) = (az, by, cx), a,b,c=R. Determine…

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Q: determine the infinite limit. lim x->3 (x^2+6x)/(x²-6x+9)

A: Expression : limx→3x2+6xx2-6x+9

Q: The diagram shows the relationship between two sets. a.Use the diagram to write a statement…

A: The given diagram shows the relationship between two sets. We have to write a statement that…

Q: Find n(A) for the set A. 1 2 3 4 3'4'5'6'29'30 27 28 The cardinal number of set A, n(A), is

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Q: Given an f(x) = 2x^3 - 4x + 1 with a = 2 and b = 4 with step size = 0.5. What is the approximate…

A: Given  fx = 2x3 - 4x + 1  with a = 2 and b = 4                         Step size h = 0.5…

Q: Vincent Cardoza is the owner and manager of a machine shop that works to order. On Wednesday…

A: a) To formulate the BIM (Binary Integer Programming) model for this problem, we need to define the…

Q: Q2/A rod is rotating in a plane about one of its ends. If the following table gives the angle…

A: The formula to calculate the derivatives using the Newton-Gregory backward formula is given by:…

Q: At i = 1 At i = 2 At i = 3 Y₂ − 1.9375y₁ + - 0.0625 = 0 Y3 1.9375y2 + y₁ -0.0625 = 0 - 1.9375y2 + ₁…

A: The  given  system  is  y2-1.9375y1+y0-0.0625=0.......(1)…

Q: % of the class ype an integer or a decimal.) participates in band.

A: We have to find the percentage of the class participates in band.

Q: Apply Euler's method twice to approximate the solution to the initial value problem on the interval…

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Q: - This question has part (a) and (b). Let F(x)=√8+ dt. Using the Fundamental Theorem of Calculus,…

A: As per the question we are given a function F(x) in terms of a definite integral and we have to use…

Q: Determine whether the following set of polynomials forms a basis for P3. Justify your conclusion.…

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Q: In this problem you will prove the general disjunction rule. P(AU B) = P(A) + P(B) - P(An B)

A: 1. If A & B are two disjoint events then P(A∪B)=P(A)+P(B)…

Q: Draw the projection of b onto a and also compute it from p = îa: -=[] a = (a) b = cose 3] sin and…

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Q: Let Z=8-8 i and state the Conjugate Z: Modulus: Quadrant: 01 Argument: Polar form: Oll e.g. a+bi…

A: Here  Z=8-8i. We have to find its conjugate, modulus, argument and polar form.

Q: Let G1 be a group defined on the set Z4 with binary relation, +, addition modulo 4, and let G2 be a…

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Q: Solve M-L30 -41 8 || -3 11 r(0) = -3, y(0) = 11 cos(41) -1 17 sin (4t)

A: I have explained everything with in the solution. Please go through that.

Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x + y + 9, and z = 0. V =

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Q: e integral ² 6. Rewrite the order dx dy dz. dz dy dr as an equivalent iterated integral in the √5

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Q: 1. [2x 5 Find x such that 2 3-2 1-2-3 -5 4 X

A: Our objective is given below:

Q: f( = { 22. Having fourier series? -2π < t < 0, 0 < t < 2π, , and f(t)= f(t+4pi), what is the general

A: The Fourier series of f(t) over (-L,L) is ;f(t)=a02+∑n=1∞ ancosnπtL+∑n=1∞bnsinnπtLwhere…

Q: 1. Let Find f(x, y, z) = x³y + x²yz x² + y6 + z4 lim (x,y,z)→(0,0,0)* f(x, y, z) if the limit exist…

A: To determine the limit of f(x, y, z) as (x, y, z) approaches (0, 0, 0), we can evaluate the function…

Q: Find the general solution of the differential equation d²y dy dx² - 5 dx +6y=e* + e²x.

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Q: Question 1 Answer the recurrence relation below using iteration method: T(n) = 2T (n − 1) + c where…

A: T(n) = 2T(n-1) + c         = 2{ 2T(n-2) +c } + c         = 22T(n-2) + (2+1)c         = 22 { 2T(n-3)…

Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b =(3, 3, 1) compab = 3.571428…

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Q: Complete the sentences by reading this quadratic graph. -10 The maximum At the point ( graph. There…

A: A graph of a quadratic function is given, we have to fin the required values.

Q: swer the following questions on the Binomial Distribution. ppose X~ Binomial (10, 0.8), at is n 10…

A: We have to compute the P(x=3) and P(x&lt;=2) using Binomial distribution formula.

Q: 0 x³ dx.

A: Given that,  Tn denote the Nth trapezoid approximation of ∫01x3dx we have to find T3

Q: What would be the piecewise function of  f(x)=(x+1)/(8-2x2)

A: Here, the equation is given by f(x)=(x+1)(8-2x2). The piecewise function of the equation has to be…

Q: y = g(x) y 5 3 لیا -3 -2 -1 O | y = f(x) 1 2 3 X

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Q: Draw this figure to show the subspaces for A = [3²] & B = [38] Rn row space of A nullspace of A…

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Q: Action: Create a net of a three-dimensional solid. Cut a circle into smaller and smaller segments.…

A: Actions :Create a net of a three-dimensional solid.Cut a circle into smaller and smaller…

Q: Parallel lines leading away from the window will have projected images on the window that O bow…

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Q: Select one or more newspaper/website/magazine article(s) (written in English) which raise management…

A: We select one or more newspaper/website/magazine article(s) (written in English) which raise…

Q: 2. Sketch the graph and all asymptotes of the function x² - 2x + 3 x-1 Y =

A: The function is: fx=x2-2x+3x-1 To Do:We have to sketch the graph of the given function and find all…

Q: Given a second order ODE equation of a beam. d²y dx² 7200y (30,000000)(120) = (5400)x(75-x)…

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Q: Study and draw the conic section Q(x, y) = 13x² + 13y² — 10xy = 36. -

A: Conic sections (including degenerate ones) are the sets of points whose coordinates satisfy a…

Q: A certain stock started at a high value of $7 per share, oscillating monthly above and below the…

A: From the given data                 High value = $ 7 per share           Average value = $ 4 per…

Q: The complex numbers Z₁ and Z₂ are defined as follows: (cos(²T) + i sin(2)) Z₁ = ²₂ = 9 0 = 0-2π/3 a-…

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Q: The second-order ODE admits the Lie point symmetry wy" - y² = 4y² In y X= 0 0x Use this symmetry to…

A: Given that  The second order ODE is yy''-y'2=4y2 ln y admits the Lie point symmetry X=??x y''=u' y…

Q: K The accompanying data represent the approximate population, in millions, of the 20 most populous…

A: Given that the data 13.5  11.9  9.6  8.5  7.312.8  11.4  9.4  7.8  7.312.8  10.6  9.2  7.6  7.212.4…

Q: Using system of linear equation solve this problem Y2-1.96845y1+0-0.015625=0…

A: The  given  equation  is  y2-ay1=b.........(1)…

Q: P The figure above shows the curve C with equation: R y=2x² + 3x²-11x-6 The curve crosses the x-axis…

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Q: Evaluate the integral below between the limits t=0 to t (x=0) (x) 3A → Products dx dt K3 K3(a - x)³…

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Q: Solve using Gauss-Jordan elimination. 2x₁ + 5x2 3x₁ + 30x2 X₁ + 7x₂ - 12x3 = 5 69x3= 69 16x3 15…

A: Our objective is given below:

Q: Exerise: Letf:K⊂Rn→Rbe a continuous function. Let&be a compact set \[ \begin{array}{l} M=\{x \in x:…

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Q: Use a suitable substitution to evaluate the following integral [cos( cos(x) sin5(x) dx O 1 -sin 6x +…

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