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).
The expression representing the sentence is
.
We have a sentence - "3 minus the quotient of x and 4".
We have to determine the expression that represents the sentence.
<h3>Express the statement - "The difference of x and y is equal to an irrational number" in the form of expression.</h3>
The expression representing the above statement is -
x - y = π.
According to the question, we have -
3 minus the quotient of x and 4.
Using the Division Algorithm -
x = 4q + r
Substituting r = 0 by introducing decimals in the quotient, we get -
q = 
Therefore -

Hence, the expression representing the sentence is
.
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Answer:
21
in/hr
Step-by-step explanation:
Distance of snow fall = 3ft
Time taken = 1
hrs
Unknown:
Rate of snowfall = ?
Solution:
The rate of the snowfall is the same as the speed of the fall;
Rate of snowfall = 
Convert the ft to inches;
1ft = 12inches
3ft = 3 x 12 = 36inches
Input the parameters and solve;
Rate of snowfall =
= 36 x
= 21
in/hr
B
3 pairs of pants = one of 3 playing cards
chances of picking jeans = 1/3
chances of picking playing card = 1/3
Answer:
22.05$ Each
Step-by-step explanation:
53.70-9.60=44.1
44.1 divided by 2= 22.5