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53. (d) Let Q (1) represent the net rate at which chemicals are added the tank. Is Q (1) continuous at timet 4 hours? Justify your answer.

53. (d) Let Q (1) represent the net rate at which chemicals are added the tank. Is Q (1) continuous at timet 4 hours? Justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve 53(d) Only in 20 min plz i need urgently plz I will give you thumb up so plz solve in 20 min plz
A plant worker is monitoring the amount of a certain chemical solution entering an empty, cylindrical tank. The tanks has a diameter of 6 meters. The rate at which the solution enters the tank is modeled by C (t) 20+6 cos (0.27) where C is measured in kilograms (kg), t is measure in hours and 0 ≤t≤ 10 After 4 hours, the worker falls asleep and the tank springs a leak. After the leak is sprung, the solution leaves the tank at a constant rate of 15 kilograms per hour. W 50. (a) How many kilograms of solution are in the tank right before the leak is sprung? 51. (b) Is the amount of solution in the tank increasing or decreasing at time t = 7 hours? 52. (c) If C (t) also models the rate at which the volume of solution in the tank is changing, at what rate is the height of solution in the tank rising at time t = 2 hours? 53. (d) Let Q (1) represent the net rate at which chemicals are added the tank. Is Q(t) continuous at time t = 4 hours? Justify your answer.
Transcribed Image Text:A plant worker is monitoring the amount of a certain chemical solution entering an empty, cylindrical tank. The tanks has a diameter of 6 meters. The rate at which the solution enters the tank is modeled by C (t) 20+6 cos (0.27) where C is measured in kilograms (kg), t is measure in hours and 0 ≤t≤ 10 After 4 hours, the worker falls asleep and the tank springs a leak. After the leak is sprung, the solution leaves the tank at a constant rate of 15 kilograms per hour. W 50. (a) How many kilograms of solution are in the tank right before the leak is sprung? 51. (b) Is the amount of solution in the tank increasing or decreasing at time t = 7 hours? 52. (c) If C (t) also models the rate at which the volume of solution in the tank is changing, at what rate is the height of solution in the tank rising at time t = 2 hours? 53. (d) Let Q (1) represent the net rate at which chemicals are added the tank. Is Q(t) continuous at time t = 4 hours? Justify your answer.
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