Worksheet 2.2p2 Integration by Parts Math& 152 10. The concentration of particulate matter (in parts per million) t hours after a factory ceases operation for the day is given by: 20 In(t + 1) C(t) =- (t + 1)² Find the average concentration during the five hours immediately after operation ceases.

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Q: 2tds + s(2 + s²t)dt = 0

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Q: 12. Find the time required for an object to cool from 300°F to 250°F by evaluating 300 10 1 t= dT In…

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Q: Solve the IVP d x(t) – 9x(t) =18 e-3t dt x(0) =8 x'(0) = 9 x"(0) = 0 %3D %3D then find x(0.5)…

A: The given initial value problem is: d3dt3x(t)-9ddtx(t)=18e-3t  ;      x(0)=8, x'(0)=9,  x''(0)=0

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Q: 12. The position of an object at time tis given by x = V3t – 4 ++4, where x is in feet and t is in…

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Q: Q4. (a) Use the method of integrating factor, solve the following dy + 2y = pe-2t – qe³t dt with the…

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Q: b) Data was collected on 344 corporate executives to find out the effect of MBA degree and work…

A: As per the guideline, 3 subparts can be answered. please repost the remaining subpasrts. thank you.

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Q: Q 6. Find the orthogonal trajectories of the function y = x + ce-ª, which is passing through (-2, 0)

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Q: The concentration of pollutant bacteria e in a lake decreases according to c = 70 e 1.5t + 25…

A: Given c = 9, then 9 = 70e-1.5t+25e-0.075t, we can rewrite it as f(t) = 70e-1.5t+25e-0.075t-9

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Q: 2. J고dr (e* -1) (e +1)

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Q: Consider the function f (x) = 3xe* 0 the approximate solution with Newton-Raphson method for 1sxS2…

A: Given function is f(x)=3xex      1≤x≤2 So f'(x)=3xex+3ex⇒f'(x)=3ex(x+1) So by Newton-Raphson formula…

Q: 5. Suppose that t hours after the injection of x milligrams of adrenalin the response is R units…

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Q: Q5// Use Heun's method to integrate y = 4e0.8x – 0.5y from x = 0 to x = 4 with a step size of 1. The…

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Q: ) Solve ac-4xdx+ xly=0 using the integrating factor M= to

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Q: Q2 The rate of heat transfer of a body can be express as: dT = -k(T – Ta) dt where T= temperature of…

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Q: A particle moves along the x-axis so that at time t≥0 its position is given by x(t)=2t3+3t2−36t+50.…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.