The bacteria concentration in a reservoir varies as C 3e-1.4t + e-0.2t Using Newton- %D Raphson method, Calculate the time required for the bacteria concentration to be 0.7. Correct your answer to six decimal places and use to = 2 seconds as your initial approximation. %3D

When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min. At what rate is the plate's area increasing when the radius is 58 cm? Write the equation that relates the rate of change in area to the rate of change in radius. dA dt = dr dt (Type an expression using r as the variable.)

The air in a room 15 ft by 12 ft by 12 ft is 3% carbon monoxide. Starting at t=0, fresh air containing no carbon monoxide is blown into the room at a rate of 300 ft/min. If air in the room flows out through a vent at the same rate, when will the air in the room be 0.01% carbon monoxide? The air in the room will be 0.01% carbon monoxide after (Round to two decimal places as needed.) minutes.

∑i=30704(i–30)  Calculate. Show work.