Answer: a) S'(1) = 136; S'(2) = 104; S'(4) = 76;
b) S''(1) = -38; S''(2) = -26; S''(4) = -2
Step-by-step explanation:
a) S' means first derivative;
(6t³ - 45t² +180t +130) = 6t² - 50t + 180
S'(1) = 6.1² - 50.1 + 180
S'(1) = 136
S'(2) = 6.2² - 50.2 + 180
S'(2) = 104
S'(4) = 6.4² - 50.4 + 180
S'(4) = 76
b) S'' is the second derivative of S:
(6t² - 50t + 180) = 12t - 50
S''(1) = 12.1 - 50
S''(1) = -38
S''(2) = 12.2 - 50
S"(2) = -26
S"(4) = 12.6 - 50
S"(4) = -2
c) Derivative is the rate of change of a function. The first derivative is the slope of the tangent line to the graph if the function in a determined point, while the second derivative measures how the rate of change is changing.
Analysing the values, we can conclude that the sales of the product after t months is decreasing at a rate of 12.
! meter is greater than 200 milimeters
Answer:
Therefore the probability that he was taught by method A is 0.78.
Explanation:
<h3>
Probability:</h3>
The ratio of the number of favorable outcomes to the number of all possible outcomes.
<h3>
Bayes' Rule:</h3>
If the events 
,
, .....
from a portion of a sample space S and A is any events of A, then
Given that,
There are two available method for teaching A and B.
The failure rate for A is 35%
That is P(F|A) =35%=0.35
The failure rate for B is 15%
That is P(F|A) =15%=0.15
A used 40% of the time.
P(A)=40%=0.40
B used 60% of the time.
P(A)=60%=0.60
To find P(A|F) , we use the Bayes's rule.
=0.78
Therefore the probability that he was taught by method A is 0.78.
Answer:
B
Step-by-step explanation:
8 times 8 = 64
17 times 8 = 136
64 + 136 = 200
The answer is: B. Even function.
The explanation for this exercise is shown below:
1. You must substitute 
with 
in the function:
2. As you can see, 
, therefore it is an Even function.
