Solve step by step in digital format please explain each step thanks! 2²u 1 ди Solve the heat equation for = əx² adt u(0, t) = 0, u(1,t) = 0,_ u(x,0) = 5sin (5x)——sin(³x)

Q: Consider the function f(x) = x³ + 2x + 5. 2. Estimate the root to eight significant digits using…

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A: If a function f is said to be analytic or holomorphic at a point a€C if it is differentiable at…

Q: D. Determine the number of incongruent solutions of each linear congruence. 6.37x = 1 (mod 249) 7.…

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Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: 2. Consider the function F, that assigns x in its domain to x²-1 F(x)= |x-1| In its domain. a. What…

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Q: Q2) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

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Q: Solve using Gauss-Jordan elimination. 3x₁ + 12x₂ - 15x3 = 9 4x₁ + 16x2 - 20x3 = 12 Write the system…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x) = 2x…

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Q: e formulation is called balance el seeks the determination of a

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Q: used, with two representatives handling the telephone inquiries. Calls occurring when both extension…

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Q: 2. Calculate the centroid of the thin plate R which bounded by r = 1, y = 0 and, ² + y² = 4. CCC

A: We have to find the centroid of the thin plate R which is bounded by x=1, y=0 and circle with center…

Q: 83. Find the regions where sinx ≤ x. ( ६

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Q: b) Obtain a Taylors series of degree three for the function f(x) = log (1+2x) near x, = 1 hence…

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Q: C. Determine whether each linear congruence is solvable. 1. 12x=18 (mod 16) 2. 15y =18 (mod 12)…

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Q: Show whether the series is abs. conv., cond. conv. or div. Σ(+1)

A: Introduction: The absolute and conditional convergence arises when the given series is an…

Q: y the formulation is called balanced

A: To organize, schedule and map out activities and events  related to a project, diagrams are…

Q: Solve step by step in digital format please Do the x³2x²+1, 4x² − x+3,3x-2y-2x³+4x² - 2 polynomials…

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Q: Q1: Let M = R² be the set of all ordered pairs of real numbers and d: M x MR be a function defined…

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Q: Which of the following graph(s) can be used to show data in intervals? (Check all that apply.)…

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Q: State the first isomorphism theorem for groups and use it to show that the groups/mz and Zm are…

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Q: Given the complex numbers z = 2 + j3,zy = -1 - j2, and z3 = 4 + j4 find; Z₁ Z122 Im…

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Q: √x clx ltx

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Q: Q6 Find Laplace transforms of the following functions: if 0<t<2 (a) f(t)= cos 3t 4 if 2 <t You may…

A: cos(3t)= cos(3t-6+6) Hence, cos(3t)=cos( 3(t-2)+6)

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Q: 2. Find all singularities for the following functions, and describe their nature. (a) tan z 1 (b)…

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Q: y² = x + 1 x-intercept (x, y) = y-intercept (x, y) = y-intercept (x, y) = -1.0 (smaller y-value)…

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Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(5) Sc a) fc…

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Q: dy 5. Using Euler's method, find y(0.02), y(0.04) and y(0.06) given- dx correct to 4 dp. y-x x+y…

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Q: . Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, ² + y² = 4.

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Q: Solve the initial value problem ut +2ux = −tu(x,t), t>0, x ¤ R u(2,0) =sinx.

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Q: 2. Calculate the centroid of the thin plate R which bounded by x = 1, y = 0 and, x² + y² = 4.

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Q: D. Determine the number of incongruent solutions of each linear congruence. 1. 22x = 18 (mod 75)…

A: Given linear congruence is  1. 22x≡18mod 752.   2z≡119mod 983.   9x≡95mod 36

Q: 1: In Euclidean metric space (R, I. I), prove that (1-2)→1 as n →∞o in R. n

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Q: Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5…

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Q: -= 3x+y², Use the Modified Euler's method to find y(0.1) correct to 3 decimal places given dx…

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Q: -8 -6 АУ 6 41 d N -41 2 4 X

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Q: function (5) d². Q1: For, 0</z| < 1, evaluate the following integral where g is analytics a) fcd²;…

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Q: y"-2xy=0 solve it by power series

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Q: e G is bounded by x + 2y + 4z =

A: Given as, ∫∫∫G6z2dV