On earth, the ratio of carbon 14 to carbon 12 t years after the death of an organism is given by R=(1/10^12)e^−t/8223 On your vacation, you find a beautiful ancient woven basket where the ratio of carbon 14 to carbon 12 is 0.72×10^−12. It is approximately ? years old.

Q: The formula for an exponential function is y=56*1.08^t , where t is measured in months. This means…

A: Use change in percentage

Q: Solve for x. 0=log (base 5)x

A:

Q: If the compounding period CP and the time period t are the same, then compounding frequency equals =

A: If compounding period is equal to the time period then interest is calculated on one time.

Q: Rewrite the equation in terms of base e. y= 95(4.5)^x

A: NOTE: Refresh your page if you can't see any equations. .

Q: ge)=メ log (4x) a

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 2. Solve logi = -1. A. -8 В. 8 С. D. 0 118

A: here option (B) is true

Q: Is log 3/4(1234) positive, negative, or zero?

A:

Q: so the answer is 2,420e^-(37/1000)t ?

A:

Q: ze ze ze ) Z=LogX %3D

A:

Q: y=998(.93)^x

A: The given equation is: y=998(0.93)x For identifying initial condition, put x=0 So, we get…

Q: What are the values of e ln 300

A: eln x=x

Q: log6(21mq)

A: Formula Used: Product property of log is :

Q: Vlog2(x - 8) + log2(x + 8) = 64 %3D

A:

Q: Express the exponential function as a power of e. Find the domain and range (а) у -3' -1 (b) у -4'-1

A: We know that, ax=exlna         ⋯⋯1 (a) We have, y=3t-1 By using equation (1) and on solving further,…

Q: Write a few sentences describing the relationship between ex and ln x.

A: ex &  lnx are inverse functions of each other.It is like solving equation ex=c for x using…

Q: x

A:

Q: Rewrite 13y = 874 in its equivalent logarithmic form- %3D

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.