269. Please find all 0 ≤ 0 ≤ 2π, for which ... (a) tan () = √3 (b) 3 sin² (0) + 4 = 5 (c) 2 cos(ln(x² + e²) = 3 (d) 3 sin(20) + 3 sin(0) = 2 sin (0)

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A: I have stated the used formula in the solution

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}:…

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A: Let's solve initial value problem by using laplace transform.

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Q: (1) f(x+4)² dx (3) ſ. x² dx x² - 4 (2) √ x²(x³ + 1)² dx (4) √x²0 x² cos 3x dx

A: The given integrals are;  1) (x+4)2 2)x2(x3+7)7 3)x2/(x2-4). Repost the 4th question.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use synthetic division to find the result when 3x4 - 3x³ +16x²-117-31 is divided by a + 4. Write…

A: answer is in next step . please give a like !!

Q: Evaluate:Z-¹ { ¹(s+2)²-49 }

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Q: 5 1 1o ( 125 + 25x + 8) dx 6 1 X So (1 + x²)³dx 3 1 √ dx 1+x²

A: Given :∫05x2125+125x+e6dx∫01x1+x23dx∫11+x2dx

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A: Given: the graph is given then we have to find the value of the value of the A

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A: topic:- function

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A: Recall: The equation of the line in slope intercept form is, y=mx+c, where m=slope, c=y-intercept.…

Q: How is the series 5 + 8 + 11 + ... +77 represented in summation notation? 25 ΟΣ(3q + 5) q=0 17 ΟΣ(4q…

A: Given Series is  5+8+11+........+77

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A: Let's draw the graph of trigonometric function.

Q: 62. A bacteria culture has an initial population of 500. After 4 hours the population has grown to…

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Q: A volume is described as follows: 1.  the base is the region bounded by y=1−1/16x^2 and y=0 2.…

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Q: Graph the function by setting the x-intercept and the asymptote. Provide your answer below: f(x) z 4…

A: We need to graph the function.

Q: d If g(x): ªſ^*[e'− In(2t+1)]dt, find g''(x) . dx -2 A B == 4 (2x + 1)² 4 (2x + 1)² None of the…

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Q: 1. (a) First find the following indefinite integral A. e666 B. 2e667 (e - 1) e√x+666 [= √x dx = (b)…

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Q: b. dP = √Pt, P(1) = 2 dt

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Q: (5) f (3x² + 2x)e5+3x dx (6) ſ dx x(3 + ln x)

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Q: (1) ਤ + x2 x2 + 3 dx (2) In 2 -e ex 1+e dx x +7 (3) --x-6 dx

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Q: 21. The complementary solution, ye, of the equation y" + 2y" + y = 10 is (a) Ye= C₁e + C₂e + C3 (b)…

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Q: e. Find the second derivaitve. f''(x) = f. Use parts b through e to identify maximums as points. g.…

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Q: ܐ [ xdx x2 -5x+6 A. 3nx-3-2nz-2 +c B. 3ng+3+ 2nx-2 +c C._2n+ 3-3m|x-2+c D. 2n|x-3-3n-2 +c

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Q: Evaluate the following integral: [²³₁*√√*** (z)dzdydx So 3 +

A: In this question we have to evaluate the triple Integral.

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Q: Consider the function f(x, y) = xe" and the point P(2,0). (a) Find a unit vector that gives the…

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Q: 8) Evaluate the following without the use of a calculator arccsc(-√2)

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: I have stated the used formulas in the solution

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

A: Solution of given question is written in below steps.