Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:
f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c. Find c by letting x = 0 and using f(0)=8.
Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).
Then -0 + 0 - 0 + c = 18, so c = 18 and
f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.
Go through the same integration process to find f(x).
She has a total of 170 cubes
170/10=17 trains
Answer:
Step-by-step explanation:
The expression is
x^2 - 4
This is a quadratic expression.
To find the solution, we will equate the the expression to zero. It becomes
x^2 - 4 = 0
Add 4 to the left hand side of the equation and the right hand side of the equation. It becomes.
x^2 - 4 + 4 = 0 + 4
x^2 = 4
Take square root of the right hand side of the equation and left hand side of the equation. It becomes
√x^2 = √4
x = ± 2
x = 2 or x = - 2
Answer:
∴35.97 mg caffeine would be left in the system after 5 hours.
Step-by-step explanation:
Given that,
A cup of coffee has approximately 310 mg of caffeine.
Caffeine decrease at a rate 35% per hour.
Exponential Function:

y(t)= Amount caffeine after t hours
= Initial amount of caffeine
r= rate of decrease
t = Time in hour.
Here y(t)=?,
= 310 mg, r=35%=0.35, t= 5 hours

=35.97 mg
∴35.97 mg caffeine would be left in the system after 5 hours.
Answer:
2. (-2)(4)
Step-by-step explanation: