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- Rewrite (6x +9) cos (x +3x) dx using substitution of variables. o /3 cos udu o /2 cos udu | cos udu о / Зи сos udu 1 7 svc.k12.com/learnx-svc/getIndex/token/620538f453a6a8bdef2722e1_e8c388f0-0712-4057-b903-b83c7eb05c25/conceptid/../ 6.653 10 mk MacBook Air F2 F3 O00 F4 F5 F6 F7 3.A tank initially has 100 gallons of brine containing 5 Ibs of salt. The mixture is kept well-mixed. A solution with 3 Ibs salt/gal is allowed to flow into the tank at a rate of 2 gal/min, and the mixture flows out of the tank at a rate of 2 gal/min. Sketch a picture and define your variables. Set up the DE that fits this situation, and simplify your DE. Be sure to use proper notation. You do NOT have to solve the DE. What type of DE is this? (Integrate, separable, linear, linear inside, homogeneous, Bernoulli, or exact?) What is the initial condition that would help you find the IVP solution?Csc2x/2cotx=csc2x