Suppose that the amount (in gallons) of water in a tank is given by f(t) = 60e^−.1t, where t is in hours. How much water is in the tank at t= 0? After 1 hour? What is the average amount of water in the tank in the first 24 hours?

Q: Find [H*] in an acetic acid solution that has a pH of 3.608. (answer to four decimal nares)

A: Given that: pH=3.608

Q: Help The number of mosquitoes in a lake area after an insecticide spraying decreases at a rate of…

A: Given,

Q: The city manager of Playa Linda estimates that water is being consumed by his community at a rate of…

A: Answer

Q: An alien on another planet throws a ball is thrown into the air. Its height (in feet) after t…

A: Given that, the function is ft=51t-14t2. Obtain the average velocity between 1.4 and 2.4 seconds.…

Q: Answer y = ce-((lnx)^2)/2

A: Given differential equation is,

Q: The average annual increment in the horn length (in centimeters) of bighorn rams born in recent…

A:

Q: Calculate f(h + 1) and simplify completely. Calculate the average rate of change of f from r = 1 to…

A:

Q: Elon Inc. is producing a new electric vehicle. The time requires to produce each vehicle decreases…

A:

Q: The population of a microscopic organism in a petri dish is represented by the equation y =…

A: NOTE: Refresh your page if you can't see any equations.   . to find the initial population, take…

Q: The rate of snow accumulation over a two hour period is given by R(t) = t − t^2 + 1 (inches/hour),…

A: R(t)=t-t2+1

Q: The normal healing time of wounds can be modeled by the function…

A: Given: A(t)=100e−0.35tInitial Area=100  cm2

Q: Water is being poured into an empty reservoir at a rate of r(t) =24t/ (t^2+1)cubic meters per…

A: To find the volume of water in the reservoir after 3 minutes we need to integrate the given rate…

Q: Estimate f'(5) of the function f (x)= 5ln(x). %3D O a. 1 O b. 0 О с. 5 O d. Ins 1 O e. In5

A: Given function is f(x) = 5ln(x) To find : f'(5)

Q: The half-life of a radioactive substance is 37 hours. If f ( t ) = a e ^ k t gives the amount of…

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.