When you are doing derivatives, you don't want to do it right away because there is still ( ) we need to remove that first get,
g(x)=3x^4-6x
Now we can do the derivatives!
g(x)=12*x^3 - 6
I hope this helps!
Answer:
- -2/a³ m/s
- -2 m/s
- -1/4 m/s
- -2/27 m/s
Step-by-step explanation:
The velocity is the derivative of position:
v = ds/dt = (d/dt)(t^-2) = -2t^-3
For t=a, the velocity is
-2a^-3 = -2/a³ . . . . meters per second
For t=1, the velocity is ...
-2·1³ = -2 . . . . meters per second
For t=2, the velocity is ...
-2·2^-3 = -2/8 = -1/4 . . . . meters per second
For t=3, the velocity is ...
-2·3^-3 = -2/27 . . . . meters per second
Given that the time taken to get to campus is inversely proportional to driving rate, let the time be t and rate be r, thus the function will be written as:'
t=k/r
where
k is the constant of proportionality given by:
k=tr
when r=20 mph, t=1.25 hrs
thus
k=20×1.25
k=25 miles
thus the formula is:
t=25/r
when r=55 mph, the value of t will be:
t=25/55
t=5/11 hours
Answer:
Step-by-step explanation:
Equation is t÷5=8
first you multiply 5 on each to cancel it out
t÷5*5=8*5
solve to get
t=40
Answer:
or
Step-by-step explanation:
If Alexa worked 30 hours last week and earned $450, then her hourly payment is
Her payment has now been increased by 20%, so her hourly payment becomes
If she worked h hours, then she earned 
If her new payment is p, then
or
