(1) Setup but do not solve the initial value problem necessary to solve the following problem. A 100 gallon tank contains 80 gallons of pure water. A brine solution with 4 lb/gal of salt enters the tank at 3 gal/min, and the well-mixed solution leaves at the rate of 2 gal/min. How much salt is in the tank when the tank fills completely? Be sure to indicate what you are to solve for but do not compute the numerical value

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step-by-step explanation:

15 batches are the most you can make

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm