MATH 1372 Midterm: MATH 1372 UMN midterm2Practice
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Math 1372, section 33, midterm 2 review: sketch the graph of the vector equation ~r(t) = (t3 3)~i + (t t2)~j for. Sketch the tangent vectors to this curve at the points located by ~r(1), ~r(0), ~r( 1): solve the di erential equation x3 dy dx + 4x2y = x3. Solve for y in the solution: a very large tank initially contains 500 gallons of water in which is dissolved 2125 pounds of salt. The mixture is drained at the faster rate of 8 gallons per minute. How much salt is in the tank after 50 minutes: a very large tank initially contains 500 gallons of water in which is dissolved 150 pounds of salt. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 4 gallons per minute. The mixture is drained at the same rate of 4 gallons per minure.