Answer:
Step-by-step explanation:
we would like to figure out the derivative of the following:
to do so, let,
By simplifying we acquire:
use law of exponent which yields:
take derivative in both sides:
use sum derivation rule which yields:
By constant derivation we acquire:
use exponent rule of derivation which yields:
simplify exponent:
two negatives make positive so,
by law of exponent we acquire:
simplify addition:
and we are done!
Answer:
The correct options are 3, 4 and 5.
Step-by-step explanation:
It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.
It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).
The ball falls at a rate of 50 ft per minute. So, the rate of change is
The height of balloon is defined as
Where, x is time in minutes.
The balloon will reach the ground when h(x)=0
Therefore the options 3, 4 and 5 are correct.