Answer:
a) 
, b) 
, c) 
, d) 
, e) 
, f) 
Step-by-step explanation:
The velocity function can be derived by the differentiating the height function:
Velocities after 2 and 4 seconds are, respectively:
a)
b)
The maximum height is reached when velocity is zero. Then:
c)
The maximum height is:
d)
The time required to hit the ground is:
Roots of the second-order polynomial are:
Only the first root is physically reasonable.
e)
The velocity when the projectile hits the ground is:
f)
Answer:
3/4
Step-by-step explanation:
18:24=18/24
18/24 reduces to 3/4
Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
Step-by-step explanation:
30 days period multiply by 7 days
=210 therefore our answer is =210
Answer:
29 minutes
Step-by-step explanation:
Given
Required
Determine the number of minutes (t) that he was on the trampoline.
This can be expressed as:
Where t represents the number of minutes
Substitute values for Total, Entrance Fee and Amount per minute
Solving further to get the value of t, we have:
