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f14. A certain hot tub holds 450 gallons of water when it is full. If someone pulls the plug for the tub at t =

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\f14. A certain hot tub holds 450 gallons of water when it is full. If someone pulls the plug for the tub at t = 0 , and the hot tub drains at a rate of 4+ + 3 gallons per minute, how many gallons of water are left in the hot tub after it has been draining for 30 minutes if it was originally full? A. 360 - In (121) B. 90 + 41n (121) C. 360 - 4In (121) D. 90 + In (121) E. 540 + In (121)19. If the series .an converges and a,, > 0 for all n , which of the following must be true? A. lim, - 60 Lan+ 1 = 0 an B. Too n = ] nan diverges. C. an diverges. D. 700 an 1 diverges . m = 1 E. 1 1 B. lim, - co n +4 25 - > 1 C. lim, -+ 00 n+3 25 > 1 D. lim, -+ 00 n +3 > 1 5 E. lim, - 60 5 n+4 > 1

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