To evaluate

First, we input 0, for theta in the function to obtain:

This is an indeterminate form.
So, we apply L'Hopital's rule by differentiating the numerator and the denominator as follows:
Answer:
begins the trip with 14 gallons of gas in her car.
The car uses up one gallon of gas every 30 miles.
Let g represent the number of gallons of gas she has left in her tank, and let d
represent the total distance
Step-by-step explanation:d = 30(14 - g)
:
For example, if she uses two gallons, there will be 12 gal left in the tank; g=12
d = 30(14 - 12)
d = 30(2)
d = 60 mi Here you go
Answer:
he is the answer
Step-by-step explanation:
Answer:
0=0
Step-by-step explanation:
6x-6x=0
cancel the terms on both sides of the equation
0=0 the sum of two opposites equals zero
this statement is correct
Answer:
a)
b) 334,858 bacteria
c) 4.67 hours
d) 2 hours
Step-by-step explanation:
a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.
Another way to see that is the following:
Initial number of bacteria is N(0), which implies
. And
. The process is:
b) After 2 days means
. So, we just replace and operate:
c)
d)