A point is selected uniformly at random on a stick. This stick is broken at this point. What is the probability that the longer piece is at least three times the length of the shorter piece?

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A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

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Q: Q1. Test the convergence and diver (2+5" 2. En=1 (2n)= n!n! 1. Σ-0 Inn 6. Ln=1 (comparison test) 7.

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

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Q: Rotate the region bouNded by X= (y-3)² and x= 16 about the x=-5

A: 1st we will find shaded region bounded by given curve and line

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Q: 1. 2– 2y + 2z = 3r – 2y + 2z = 3 2x – 3y – z = –72x – 3y – z = - 7 -x + 3y – 3z = –4-x+ 3y – 3z = –…

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Q: 2. Find the centroid of the area in the first quadrant under the curve y = 4 – x2. Answer:

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A: This question related to basis and dimension of vector space

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A: Fourier transform of the function

Q: 1. Evaluate the following integrals. b. I – 2.x² +1 dx

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Q: Use the above formula to write each of the following limits as an integral (a) (b) m%3D0 nm- lim n2…

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Q: (a) Find the Taylor's series for the function f(x) = sin x at x .

A: Our guidelines we are supposed to answer only one question(because all part are different…

Q: ne solution to y"+ 6y' + 9y =0 is (circle one) (a) undamped (b) over-damped (c) under-damped (d)…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

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Q: 山(10)120)-

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Q: • Consider the fiunction g defined by glx, y)> cos (7x y)+ logs (x-y) la) determine dydx

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Q: If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that

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Q: Question 2. (7 Points: 3+2+2) (a) Prove that if a and y are rational numbers then x+y is rational.…

A: (a) To prove: If x and y are rational then x+y is also rational. (b) To prove: If x is irrational…

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Q: nuse the Runge-Kutta Method Sevetue:.

A: You can solve this using formula runge kutta method

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Q: dw dw and + Arc tan z. Get the partial derivatives given that w = dx' dy dz

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Q: how that , Oi – y)² = , &i – y)? + E, Vi - ŷa %3D1 =D1

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Q: 2. Find the Laplace transform of the ff. a. t cos 3t b. e

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Q: Exercise 1.9 Suppose z = a + bi, w = c + di. Define z < w if a < c, and also if a = c but b < d.…

A: Suppose z=a+ a+bi and 2 = c+d2 are distinct complex numbers either If a not equaal to c then either…