' Entered Answer Preview Result 0.0469493 0.0469493 The answer above is NOT correct. (1 point) Brain weight B as a function of body weight W in fish has been modeled by the power function B = 0.007W2/3 , where B and W are measured in grams. A model for body weight as a function of body length L (measured in centimeters) is W = 0.12L 253. If, over 6 million years, the average length of a certain species of fish evolved from 15 cm to 29 cm at a constant rate, how fast was this species' brain weight increasing when the average length was 17 cm? Brain weight was increasing at 0.0469493 EEE gram per million years Entered Answer Preview Result 0.00247574 0.00247574 meters per minute meters per minute correct At least one of the answers above is NOT correct. (1 point) Suppose that water is stored in a cylindrical tank of radius 6 m. If the height of the water in the tank is h, then the volume of the water is V = 7rr2h = 367th m2. If we drain the water at a rate of 280 liters per minute, what is the rate at which the water level inside the tank changes? (Note that 1 cubic meter contains 1000 liters.) The water level changes at a rate of 0_00247574 iii meters per minute V (1 point) A radioactive substance has a halflife of 84 days. A sample has a mass of 140 mg initially. Find a formula for the mass remaining after 1 days. Mass remaining aftert days is === mg Find the mass remaining after 144 days. Mass remaining after 144 days is mg The decay rate is minus one times the rate of change of the mass. What is the rate of decay after 144 days? Decay rate after 144 days is EEE mg/day How long does it take the sample to decay to a mass of 50 mg? Sample will decay to 50 mg after === days (1 point) Assume that a population size at time t is given by N(t) where N0) = 90 - 3t,t z 0. How big is the population size at time t = 0? How long will it take until the population size reaches 3500? ::: (1 point) A bacteria culture grows at a rate proportional to the current size. The bacteria count was 900 after 3 hours and 4700 after 5 hours. Find the relative growth rate, (rate of change of size) divided by (size). Relative growth rate is 555 per hour What was the initial size of the culture? Initial size was EEE bacteria Find a formula for the size of the culture after 1' hours. After 1' hours, size will be EEE bacteria Find the number of bacteria after 4.5 hours. After 4.5 hours there will be iii bacteria Find the rate of growth after 4.5 hours. After 4.5 hours the rate of growth will be bacteria per hour When wilt the population reach 5300? hours The population will reach 5300 after E