Z'(t) = + 2t (3t² + 6.05) where t is time in days since the Zombie horde was accidentally released from the research facility, and Z represents the total number of Zombies loose. There were 30 Zombies accidentally released from the facility at the start of the outbreak (t = 0). a. Find the function that represents the total number of Zombies on the loose at any given time. b. How many Zombies will there be after 3 weeks? That is, 21 days?

Q: Suppose a county's population can be approximated with the function P(t)=34(1.00804)^t where t is…

A: Given t  is the number of years since 2000 So, 2000 means t=0  At t=0  So the population of 2000 is…

Q: (b) Use the table feature of the graphing utility to create a table of values for the same time…

A: States for the years 2025 through 2055 can be modeled by  P = 307.58e0.0052t,  where P is the…

Q: The following function takes t, the number of years since a number of elk were released into a…

A: To find out the number of years it will take to rach 270

Q: The population of a city is described by the function P(t)=67,240(1.013)t, where t is the number of…

A: Explanation of the answer is as follows

Q: The concentration, C in parts-per-thousand (ppt), of a pollutant in a river during the manufacturing…

A:

Q: The inventory for an item in a warehouse is given by I(t) = 90e0.03€ +, where t is measured in days…

A: We know for the year 2021, January, February, and March months have 31, 28, and 31 days. We have to…

Q: The projected year-end assets in a certain country's government trust funds, in trillions of…

A:

Q: The function h(x)=5000⋅(1.08)^x, represents a loan taken out by a college student. x represents time…

A:

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: An environmental protection agency discovered in the beginning of 2009 that a waste dump has been…

A: Let's find

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: he concentration, C , of a certain drug in the bloodstream, t hours after injection, is given by the…

A: Given that the concentration, C , of a certain drug in the bloodstream, t hours after injection, is…

Q: 1.574 = 0.000173 * f2

A:

Q: L{1/2k³(sinkt-kt coskt)}

A:

Q: The product of 3/4 and 12 is more than 12. T/F

A: The product of 34 and 12 is more than 12. We have to determine whether the statement is true or…

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A:

Q: Suppose you are going hiking and over the course of your trip, your velocity at time t hours is…

A: The time t is from 0 to 4 Because initial time = 0 hour after 4 hours, t=4

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Q: The amount of a substance remaining (in grams) is given by the function P (t) = 1.9(.89)^t/2 where t…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.