Question: [ee Ak | Fma Since e is an extremely small positive number, t is approximately -1. However, negative time is not physically meaningful. This indicates

[ee Ak | Fma Since e is an extremely small positive number, t is approximately -1. However, negative time is not physically meaningful. This indicates the tank will not completely empty in finite time. Answer: The tank will be empty after an extremely long time, practically never reaching zero volume in finite time. 2. Find the areas of the regions R; and R2 (separately) shown in the attached figure; they are formed by the graphs of y = 16 x? and y = 5x 8 Spits SOLUTION Step 1: Find the intersection points To find the points where the two curves intersect, set: 16 2 = 52-8 Rewriting gives: 2 5 a' +5a2-24=0 Factoring the quadratic: (z+ 8)(2 3) =0 So the solutions are: z=-8 and r=3 3 + : + Annotate

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