Evaluate each Laplace transform. Write your answer as a function of s. (a) L{2t³ – cos² 5t} (b) L{te-t sin t} L{[e-r)*cos 3r dr

Q: QV Determine whether the given differential equations are bomogenous and, if so, solve them. a) xydy…

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A: To find the value b.

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A: topic- limits

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Q: ہمملامعحممعم:لم ملنم ط علاهک بہادلاعہرامزم معو= اوهكهو

A: Using the finite difference method we have to find the values at inside point b/w 0 and 1.

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Q: 1 3 5 8 - 37 13) 3 8. 7 Ans. r = 3 0 - 37 0 37

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Q: Find the number(s) b such that the average value of f(x) = 6x - 42x + 70 on the interval 0, 6 is…

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Q: "Definite Integrals" 1. sin | COS dr -

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Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: 27. f(1) = 1 + e*i 28. f(1) = r² - e- + 5 29. f(1) = (1 + e²)2 30. f(1) = (e' – e¯)? 31. f(1) = 41²…

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Q: Assuming annual compounding, find how long it would take for the general level of prices to double…

A: Given query is to find the time taken to double the amount.

Q: 2. lim 3X - 2*

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Q: Solving bernoulli differential equation -2xy=2xy

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Q: c) y(x) = c, + cz + Acos3x + Bsin3x Q.6) The singular point (s) of (x² + 4)y" – x y' + 4y = 0 , is…

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Q: 5. Let f(x) be the function f(x) = {* T*7 makes the function f(x) continuous for all real numbers.…

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Q: S tan“ x sec“ x dx

A: Given query is to find the value of the integral.

Q: Find the limit 8x2+ 10x lim x0 ex-1 a. None of these. оБ. 10 1 10 d. 10 Ое. 0

A: Topic = Limits

Q: al squares fr ame if the pie 16

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Q: Problem 8 Find the critical numbers and the open intervals where the function f(r) = %3D r³ – 3x + 4…

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Q: Given the function P(x) = (x – 1)²(x – 4) - -

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Q: PART C 15. Use the definition of the derivative to evaluate each limit. e2+h – e? 1 a. lim h h→0 b.…

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Q: Given the vector u with magnitude 3 and direction 185°, and vector v with magnitude 6 and direction…

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Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

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Q: 10. The graph of a function is given below. Determine the intervals on which the function is concave…

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Q: Calculate the area of the region limited by the equation r = 2+2cos φ

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Q: Find the slope of the tangent line to the curve below at the point (4, 7). 2x + 3y + /2xy =…

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Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

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Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

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A: Given

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A: Gp

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