In Exercises 1 through 18, determine whether the vectoi x is in the span V of the vectors v \, . . . , vm (proceed b) inspection if possible, and use the reduced row-echeloi form if necessary). If x is in V, find the coordinates of i with respect to the basis $3=( v i , . . . , v m)ofV, and writi the coordinate vector [jc]

S343 Section 2.3 Notes- Modeling with First Order Equations 8-30-16 Ex. A pipe is pouring liquid into a tank at gallons per minute. The tank is stirring and has an exit rate, through another pipe, of gallons per minute. Suppose the tank has a capacity of 100 gallons. The 1 liquid coming into the tank is water with lb per gallon, and the amount of in the tank at 4 time is in lbs. o Model this situation with a differential equation. = −