Can u solve this please? 18x-2 = 17x +2
2 answers:
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First, it would be good to know that the area bounded by the curve and the x-axis is convergent to begin with.
Let
, so that 
, and the integral is equivalent to
The integrand is continuous everywhere except
, but that's okay because we have 
. This means the integral is convergent - great! (Moreover, there's a special function designed to handle this sort of integral, aptly named the "sine integral function".)
Now, to compute the volume. Via the disk method, we have a volume given by the integral
By the same substitution as before, we can write this as
The half-angle identity for sine allows us to rewrite as
and replacing
, 
, we have
Like the previous, this require a special function in order to express it in a closed form. You would find that its value is
where
is the Euler-Mascheroni constant and 
denotes the cosine integral function.
Let
The integrand is continuous everywhere except
Now, to compute the volume. Via the disk method, we have a volume given by the integral
By the same substitution as before, we can write this as
The half-angle identity for sine allows us to rewrite as
and replacing
Like the previous, this require a special function in order to express it in a closed form. You would find that its value is
where
Answer:
The plot shows a positive linear association. Price is the explanatory variable.
*See attachment for the scatterplot of the data
Step-by-step explanation:
The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.
The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.
When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.
The data given below is what we would use in plotting the scatterplot shown in the attachment:
Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)
25 => 0.31
49 = > 1.69
60 => 1.66
55 => 1.7
68 => 3.31
The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.
