7.6. y"+y' +1.25y = 0, y(0) = 3, y'(0) = 1

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A: Given points:Given functions:1) 2) 3) To find:The function which is best fit on each models.

Q: Question 14: Evaluate 1011012 x 1012 and show the answer in the binary form.

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Q: 2. Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

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Q: Q3: Given the following data: X 0 1.5 4 6.5 9 11 f(x) 0.2 2.5 4.3 3.5 2 -1.3 Fit to this data by…

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Q: It can be shown that all solutions of 5y' + ty = 3 approach a limit as t→∞. Find the limiting value.…

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Q: 2x + 2y + 2z = -14 4x9y+ 6z = 19 -3x + 2y + 4z = 34 the augmented matrix will have the form: Given…

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Q: 5. Consider the linear transformation T: R → R³ given by T()= Au, where A is the matrix (a) (b Find…

A: Our objective is given below:

Q: Find the general solution of the system whose augmented matrix is given below. 1-4 0-1 0-8 10 0-7 9…

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Q: Find the unique solution to the 2nd order nonhomogeneous IVP. ODE: y" - 2y' - 3y = 8e* - 20 sin x…

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Q: Suppose X = Rk+, for some k ≥ 2, and define x = (x1,...,xk) ≽ y = (y1,...,yk) if x ≥ y; that is, if…

A: Given that we have to show that  is transitive on Let,then this implies that Thus we have for Hence…

Q: Find the flux of F through S SSF F.dS F(x, y, z)=4i-3j+5k, S:z = x² + y², x² + y² ≤ 4.

A: The Gauss divergence theorem states that the vector’s outward flux through a closed surface is equal…

Q: 2. Which are well ordered sets? (a) {x € Z|x > −5} (b) {x = Q|0 ≤ x} n (c) {x € Qx = = ‚n n+1'n=N}

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Q: 5. Question 3 asked for two possible quadrant locations of the product of c + di and e-fi, where c,…

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Q: Given the matrices A = verify that -2 = (²2² ²2² ²1) 3 0 0 1¹) and B = (4 =(-1/₂ 16¹) -2 0 a) (A +…

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Q: Find the center of mass of a thin plate of constant density 8 covering the region in the first and…

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Q: (a) Given the metric space R2, d> where d is the usual metric defined on R². Let SCR² be a subset…

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Q: Suppose that f(x) is continuous [except for a jump discontinuity at x = 0, f(x)= a and f(x) = 6] and…

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Q: Write down the augmented matrix of the linear system 2xy +z = −4 y - 3x = 2 3x − z = 5

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Q: Find y as a function of tif y(3) = 8, y'(3) — 9. Y - 49y"+126y + 85y = 0,

A: Find  as a function of  if  ,  .

Q: Find the solution to initial value problem y(t) = dt² 2 + ly = 0, y(0) = 3, y'(0) = 3 dt

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Q: Q2: A particle move on the path has parabola shape with equationf(x) = a + bx + cx²; Find the…

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Q: A region R consists of a square bounded by the lines x = -5, x = 5, y = 0, and y = -10 and a half…

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Q: Consider the three matrices 2 1 321 2 1 A = B = 2 -3 1 C = 3 -1 -4 2 1 -1 0 1 (a) Show by…

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Q: Which of these would correctly evaluate the volume of the solid that results when the region bounded…

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Q: Exercise 6: Let S be a monempty subset of R that is bounded below. Prove that inf S= - sup { -…

A: Let  be a non-empty  subset  of   that  is  bounded below.Then, Infimum of S exists and  suppose…

Q: (b). Show that (0, 1) and (0, 1) U Z have the same cardinality. (c). Show that (0, 1) and (0, 1) U…

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Q: he linear inequality and create a t chart

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Q: Using (EN) definition of the sequence convergence, show that lim N→∞ n²+3n-1 3n2-n

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Q: 9. Let f(x) = x². Compute a value & such that if |x-1|<d then 2² -1 <. The question is illustrated…

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Q: Let G be a finite abelian group. Then there exists a finite sequence of positive integers (pa¹,…

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Q: mi 1 0 cos(0.7) 0 sin(0.7) Let m3 = m₁m₂m sin(0.7) cos(0.7) m₂ cos(-0.5) sin(-0.5) sin(-0.5)…

A: Given that:To show that:

Q: Mark the following either true or false. Justification is required. (a) If the homogeneous equation…

A: (a) Suppose that the homogenous equation  has  a  nontrivial  solution.     Let  the columns of are…

Q: A coin is dropped from the top of a building that is 1,386 feet tall. Use the position function…

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Q: 4. Assume that S, T C R are two non-empty bounded sets. Prove that: (i) SUT is a bounded set; (ii)…

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Q: 8. Let w, z EC such that |w| > |z|. Prove that (n+1) | ²7. < W for all n E N. |w| |w| - |z|

A: To prove (n+1)|zw|n&lt;|w||w|−|z| for all n∈N, it can use mathematical induction.Base Case (n =…

Q: Problem 1.2. Consider again the exact model from the previous problem and write 1 YMɛ² (1 + εr)2¹ R…

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Q: What value(s) of 8 are an appropriate choice when proving the following limit? Enter your answer in…

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Q: Let S be the universal set, where: S= {1, 2, 3,..., 18, 19, 20) Let sets A and B be subsets of S,…

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Q: Let U = {1, 2, 3} and A = U × U. In each case, show that = is an equivalence on A and find the…

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Q: You have been accepted to study gourmet cooking at Le Cordon Bleu Culinary Institute in Paris,…

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Q: Values of f(x, y) are shown in the table below. 1.2 x = 1x = 1.1 y = 3 8 9 y = 3.3 7 8 Y 3.6 6 7 Let…

A: The given rectangle .Also .To Find:Riemann sums over and under-estimate.

Q: h(r) h(x, y) is a radial function which can be graphed as 2 -2 0 2 r Draw a contour plot of h(x, y)…

A: As per the question we are given the graph of a radially symmetric function h(x,y).And we have to…