A study on optimizing revenue from a website considered dividing customers into two groups based on a value of between 0 and 1, where z measures the proportion of the total bandwidth requested by a customer. Customers with a request less than z were considered low revenue, and those aboveェhigh revenue.
The expected revenue from the low revenue customers was described by

R(x) = Cx(1-e -kx),

where C and k are positive constants based on attrbutes of the website and the customers.

(a) Find R'(x) and use it to find for what values of x in (0, 1).

(b) Find R"(x) and use it to find the point of diminishing returns. Also, state the intervals of concavity.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation:

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step-by-step explanation: