Answer:
Well it definitely can't be a function
Step-by-step explanation:
To find out if a graph is a function, you can use the vertical line test. The vertical line test is when you draw a line down the center and if it hits one point, it's a function. But, when it hits more than one point, it's not. In this case, a line would hit more than one point; meaning that they are not functions.
The picture is not clear. let me assume
y = (x^4)ln(x^3)
product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)
dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)
look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)
end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]
11/12* (1/6)
= 11/72.
The final answer is 11/72~
Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
Given table is
Yes No Don't Know Total
Men 162 92 25 279
Women 258 41 11 310
Total 420 133 36 589
According the the conditional probability, if A and B are two event then

We need to find the following probabilities.
Let Y is the event "saying yes," and M is the event "being a man."
(a)





(b)





(c)




