Given the following velocity function of an object moving along a line, find the position function with the given initial position. v(t) = 2VE, s(0) = 2 The position function is s(t) =

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Q: In this figure, p || g. Find the value of x. (9x + 12)° (x-2)° >4

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Q: The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter, 1992). If you…

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A: I have stated the used formulas in the solution.

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Q: Show that 2x° dx = [; 2r° dx + f zr* dx + [,2x° dx %3D

A: Given that,    ∫142x2dx=∫122x2dx+∫232x2dx+∫342x2dx

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Average height of the paraboloid over the square R is given by H=1Area of the square R∬fdAsee below…

Q: Suppose that f and h are integrable and that: i fx) = -1, f(x) dx = 5, h (x) dx = 4 ,Find: a. S–2…

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Q: Consider f(x,y) =x'+y* +2ry-x+5. Find its critical points and use the second partials test to…

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Q: 23. Suppose f(x) ={9 (бх + 5, хSо (2x+ 5, x> 0 Which of the following statements is NOT true? i.fis…

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Q: a.) Evaleiate. (6tanx dx

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Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

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Q: n-1 £(- Given the series 8 n=1 Does this series converge or diverge? O diverges converges 6 If the…

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: Given that f(m) = a"h(x) h(- 1) = 4 h'(-1) = 7 Calculate f'(- 1).

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Q: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

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Q: For the function f, use composition of functions to show that f 1 is as given. 6. 7x-7 f(x) = =x+ 1,…

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Q: 9! Calculate 7. 4! 5! 3024 15120 1814400 126

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Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

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Q: Find all Critical points of the function : 2 f(x,y) = 4x° + 6x°y+ y° - 10y? - 48y + 18 Critical…

A: Given problem:- Find all Critical points of the function :   f(x, y) = 4x3 + 6x2 y + (2/3)y3 - 10y2…

Q: ds The position of a particle at time t is given by s. Find the velocity dt s4-7st+2t-3t= 0 ds dt

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Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

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Q: The population of a certain country has grown at a rate proportional to the number of people in the…

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Q: Evaluate x +1)?dx = [{(x+ 1}dx+ f{(x+ 1}°dx %3D

A: ∫13x+12dx=∫12x+12dx+∫23x+12dx⇒563=∫12x+12dx+∫23x+12dx⇒563=193+∫23x+12dx⇒563=193+373

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Q: 5) S V2 + sin 3t · cos 3t dt

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Q: u さx Jx (x+6) 18Evaluate: fo

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