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Q: Find the exact ५००/२ Solution for y₁= 2-27

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Q: Find the Laplace Transformation of -3x y" +3y + 2y 4e when y (0) = 2, y' (0) = 4 28² +16s+30 OY (s)…

A: Given differential equation: y''+3y'+2y=4e-3x, y0=2 and y'0=4To find: Laplace transform of the…

Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: it is known that  line integral F·dr will be positive if both F and dr have same direction. and if…

Q: Approximate the following integrals using the following methods. ». [² [²√(x²y + x a. Composite…

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Q: Integrate the following functions Ver R: f(x,y) = 3x-2y. the given regi the circle x² + y² registre

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Q: How many meters of cloth 5.2 metre wide will be required to make a conical tent, the radius of whose…

A: Solution

Q: In the following graph draw the vectors v = [0, 3, 1] and w = [0, 1, 4]. (a) Highlight the…

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Q: There are 25 applicants for four jobs; Computer Programmer, Software Tester, Manager, and Systems…

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Q: Give at least three (3) examples, with complete and detailed solution, onsolving Differential…

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Q: For this math A = 30, B= 20, C = 11, D = 22. 2. Evaluate the integral f(z) dz, where C is the unit…

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Q: Explain why the vectors U₁=(3, 8, -8) U₂ = (-12, -32, 32) form a linearly dependent set of vectors…

A: Linearly dependent vectors

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x = 3…

A: We want to find required polynomial.

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given that The courier  will deliver  if the length plus girth does not exceed 108 inches.…

Q: Suppose that a function f(r) satisfies the following properties, together with the table of signs…

A: we have to use following relation between f , f' and f" * when f'(x) >0 => function increasing…

Q: Elizabeth Swann and her husband consume wine (W) and books (B). Elizabeth's utility function is…

A: Elizabeth Swann and her husband consume wine (W) and books (B).

Q: GIVEN: L = 1/2 H₂R == 1₁ E=2 I (0)=1 FORM=LQ" +RQ¹ + LQ = E(t) SINCE = I=Q' & I'=Q" THEN LI' + RI =…

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A: Given,           p=3x+2y+zsubject to           2x+y+z≤150      2x+2y+8z≤200          2x+3y+z≤320and…

Q: Solve the following set of four linear equations using Gauss-Seidel iteration method; Continue…

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Q: Solve using the undermined coefficient of differential equation

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Q: 3. Fxz²i + (1 - 3xy)j + yzk, A. xyi + 2yzj - 3yk B. zi + 2xzj - 3yk C. zi + 2zj3xk D. xi + 2yzj-3yk…

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Q: Exercise 5 Find the center of mass of the uniformly dense upper half disk x² + y² ≤ R², y 20. Your…

A: Mass of a region lamina bounded by region R    , M=∫∫Rρ dA Moment of the lamina about the x-axis…

Q: [MO32] Given the function below, f(x) = {ex Se-x 0≤x≤π π < x < 2π find its Fourier a. Cosine Series…

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Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…

A: We solve the given problem in next step.

Q: V. Given: el3r-6-2, if x ≤2 13 f(x)=[2x - 5], if 2 3 √x²-9, 1. Determine if f is continuous or…

A: Given function is fx = e3x-6 -2   if  x≤22x-5  if  2&lt;x≤3x2 -9  if  x&gt;3 Domain for f(x) = -∞, ∞…

Q: Three years ago, Pete took out a loan of $55,000.  The loan was taken out for 10 years with an…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = e* sin(t), z =…

A: Curvature and radius of converges

Q: (i) Draw the graph whose adjacency matrix is given in Fig. 2.25. (ii) Draw the graph whose incidence…

A: We have to Draw the graph whose adjacency matrix is given in Fig. 2.25. and Draw the graph whose…

Q: Find d(u, v), if u = (2, -4,2,-1,-6) and =(4,-6,2,-1,-6). OA √93-√61 O B. √300 OC √73 OD. V8 O E √32…

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Q: a Verity. functions and form. a basis of solutions of the given ODE? (b) Solve the IVP of that given…

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Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*10' part/m³), while the…

A: Given that,The differential equation that governs the concentration (C) of the pollutantas a…

Q: Consider a system of linear equations A [:] b where -2 6-3 b = and A-1 Find the value of y in the…

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Q: Q.3: Solve the following set of four linear equations using Gauss-Seidel iteration method; Continue…

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Q: If A = [1 31 [] 0 A. 3300 OB. -900 OC. 900 OD. 1 OE. -1 find the (1,2)-entry of A300

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Q: Find ther critical point x* of 2 f(x)=312921 22 −5+1 73 +7x₂² +372 73 +6x3² − 3x₁ +3x₂ + 3xg +8…

A: As per the question we are given a quadratic multivariate function f(x) And a constraint g(x) = -8…

Q: For the equation, 9x² +8/3xy + y²-8=0, complete the following questions. a. Rewrite the equation in…

A: The general form of a conic equation is Ax2+Bxy+Cy2+Dx+Ey+F=0.  If B2-4AC&gt;0, then the conic is a…

Q: a)Consider the following data: 3 is a quadratic residue for 23 and 37. 3 is a quadratic nonresidue…

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

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Q: The amount of water, A, in thousands of litres, available in a water tank located on a farm…

A: Given: The amount of water, A, in thousands of litres, available in a water tank located on a farm…

Q: Find the area of the region r = 7-7 sin 0 a) What is the value of beta and alpha? b) The area of the…

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Q: Determine the values of r for which the given differential equation has solutions of the form y = t"…

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Q: Evaluate L-1{- [6] S -} + 169) (s - 9) (5².

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Q: In 3 Using 4-node Gaussian integration in approximating ³ x ex dx, which f(x) in the formula has…

A: Given: Let us consider the given, ∫1ln 3x ex dx and determine the approximation using 4-node…

Q: Write f(z) = Im(z 32) + zRe(z²) 5z in the form f(z) = u(x, y) + iv(x, y).

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Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

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Q: 1. Convert (-2.5 + j4. 2) into exponential form. 2. Convert 1.7e 1.2-j2.5 into rectangular form 3.…

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Q: Find the inverse laplace of F (s) = 8² (8²+a²) (8² +6²) consider a² ‡b², ab ‡0 b sin at-a sin bt…

A: Given that: Fs=s2s2+a2s2+b2 where a2≠b2 and ab≠0To find: inverse laplace of Fs.

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

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Q: What is the Cartesian product of A = {1, 2} and B = {a,b,c}?

A: Given A = 1, 2   and   B = a, b, c

Q: 15 9 40 17 8 6 3 28 2 12 23 13 ? 28 4

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Q: r(t) = (7t cos t-7 sin t)j + (7t sin t + 7 cos t) k OT= (-7 sin t)j + (7 cos t)k OT= (-sin t)j +…

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