K : MAT17B-Simone-S X B Water flows from the bottom o x + /832564/files/folder/Worksheets?preview=21164209 = News my myucdavis Bookshelf: Verify... LD Page 1 of 3 O - Due: Sunday, August 20 at 11:59pm to Gradescope Must show work for full credit 1. (5.3) Water flows out from the bottom of a tank at a rate of r(t) = 200 - 5t liters per minute. (a) Find the amount of water that flows out from the tank during the first 10 minutes. (b) Find the amount of water that flows out from the tank during the first 2 hours. Hint: this question is a little tricky, and your first answer might not make sense. A good question to ask is, "What does it mean when r(t) = 0?" (c) What was the original amount of water held in the tank before any water flowed out? 2. (5.4) Evaluate the following integrals using u-substitution. (a ) / ear sin (e27 ) dr. ( b ) / V1 - 4x2 ( c ) VI+ 7ada ( d ) (TT / 2 cos(x) sin (sin(x) ) dx 3. (5.5) Evaluate the following integrals using integration by parts. ( a ) tsin ( 2t ) at MacBook Pro