If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

(true for <em>y</em> between -π/2 and π/2)
Now take the derivative of both sides and solve for it:




Answer:
Part A; Initial dosage is 10 milligrams
Part B:
8.4113 milligrams after 1 hour
5.0057 milligrams after 4 hours.
Step-by-step explanation:
It is given M(h)= 10 
Initial dosage is the 10 milligrams
After 1 hour, plug in h as 1
So, M(1)=10
Simplify the right side
M(1)=10(0.84113)
M(1)= 8.4113 milligrams.
Now, after 4 hours
M(4)=10 
M(4)=10(0.50057)
M(4) =5.0057 milligrams
It would be 90(4 sides)= 360 ft
or 90ft+90ft+90ft+90ft=360ft
Answer:
After 9 years the account will be worth 13709.60$
Step-by-step explanation:
We are given the following in the question:
We are given the following in the question:
P = $8000
r = 6% = 0.046
n = 12
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years.
Putting the values, we get,

Thus, after 9 years the account will be worth 13709.60$