An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 65e-0.02t liters per minute. How much oil leaks out (in liters) during the first hour? (Round your answer to the nearest liter.)

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A: The given series is: ∑n=1∞4+cos2n3n-n3

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A: This question can be solved using the concept of derivative of hyperbolic function.

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A: f(x)= cosx  , [ -π3,π3]as per MVT for Integrals for a function f(x) bounded and integrable on [a,b],…

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Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

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Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

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A: Given,           ∫x2-6x+96x-x2dx

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Q: 6. Find the surface area generated by revolving the curve x = 5 cos' t, y = 5 sin' t, 0sts, about…

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Q: 2. Find the area of the region bounded by y = e*, x = 0, x = 2, y = 0 using definite integral %3D…

A: This is a problem related to integration application. Based on general formula we will solve the…

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Q: Use transformations to graph the function. 34) y = sin (x – T) Ismatals adi enon ( TC 2n 3T -2+ -4-

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A: fx = x3∫01fxdx =limn→∞1n ∑i=1nfxi ; where xi = in                                     1∫01fxdx…

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Q: Consider the following function. f(x) = x sin(x), a = 0, n = 4, -0.6 s x S 06 (a) Approximate f by a…

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Q: Check if the following series are convergent or divergent. ∑∞n=1=1/kn, k>1…

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