Can you explain further how you go from (e^2t*e^2C)/2 to (e^2t/2)e^2t? I feel like e^2C was lost somehow.

Q: the year 2000, the population of a small city was 42,000. The population grows at a rate of r(t) =…

A: Given population growth rate function is f(x)=1300 e (0.03t) where t is time in years after 2000.

Q: method

A:

Q: If 14^-x=15, what does 14^2x equal?

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: In step 2, I don't understand why gf=f^-1g^-1.

A: Here We will show how in the step 2,  has come.

Q: If e^3x=25, then x=

A:

Q: 3^e(x+2)=21

A:

Q: Why is there a negative sign outside the -(2x+1)e^-x

A:

Q: shouldnt g^-1(f(x)) equal 3log2(X)-6 ? (the 2 after log is a subscript)

A: We will find the inverse function.

Q: Can you explain these steps? I don't get it how does he factor the x out from (e^ln x^-2).

A:

Q: Thank you for the help on this problem! If i am not mistaken, isnt e^(20*0.095) = 6.69?

A: Given that vehicle are counted in 20 seconds intervals & vehicle count are taken in 120 of these…

Q: The identity of (a-b)^2+(a+b)^2 = 2(a^2+b^2) helped clean things up a lot. However, "ln" has to be…

A: Given,            The curve is rt=e2tcos2ti+4j+e2tsin2tk.To find : Reparametrize the curve with…

Q: Find x 8+e^1-4x=20

A: 8 + e1-4x = 20 e1-4x = 12

Q: A typical pH value for rain or snow in the northeastern United States is about 4.2. Is this basic or…

A: Given that the pH of snow or rain is 4.0

Q: Why not 1/7^x?

A: We have to find a function f(x) which passes through point (-3,343) and (0,1).