Environmental Control The Environmental ProtectionAgency (EPA) determines that Maple Lake has 250 tonsof pollutant as a result of industrial waste and that 10% ofthe pollutant present is neutralized by solar oxidation everyyear. The EPA imposes new pollution control laws thatresult in 15 tons of new pollutant entering the lake each year.The amount of pollutant in the lake after n years is given bythe recursively defined sequencep0 = 250 pn = 0.9pn-1 + 15Determine the amount of pollutant in the lake after 2 years.That is, determine p2 .

Q: Find the generating function for the sequence 1,−2,4,−8,16,….

A: The general expansion of the binomial (1-x)-1 will be, (1-x)-1=1+x+x2+x3+….

Q: What is a disadvantage of defining a sequence recursively?

A: The Disadvantage of defining a sequence recursively as In general, recursive functions are slower…

Q: Find the exponential generating function for the sequence 0!, 1!, 2!, 3!,...

A:

Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: Consider the rabbit pairs that illustrate the pattern in the Fibonacci sequence. These rabbits…

A: Step:-1 Given that rabbits produce exactly 1 pair after 2 months. Let we have 1 pair of rabbits and…

Q: Enter the number to complete the linear combination. gcd(69, 30) yields sequence: 69 30 9 30 9692-30…

A:

Q: Find a generating function for the number of ways to make r cents' change in pennies, nickels,…

A: 1 pennies = 1 cent 1 nickel = 5 cent 1 dimes = 10 cents 1 quarter = 25 cents So the equation is, x1+…

Q: For partial-years depreciation, if an asset is purchased on February 8, how many months'…

A: Answer:-  Here, 11 months is right answer.

Q: In a 2010 survey, 83 out of 387 randomly selected young adults (ages 18-34) had to move back in with…

A: The objective of this question is to test the claim that a greater proportion of all young adults…

Q: 10^n-3 first five  terms

A:

Q: The half-life of Carbon-14 is about 5730 years. This means that it takes approximately 5730 years…

A: The half-life of Carbon-14 is about 5730 years.Weight of an artifact=1200 grams

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.