frum220car touAttermaTreakinen300BasedthsName:Unit 2 Activity 6 Lab Assignment1. In activity 5 (pp. 135-136) we found the equation for the amount of Cs-137 remaining (in kg)at the Chernobyl Nuclear Plant as a function of the years since 1986: y = 1000(0.50)*/30Algebraically find when the amount of Cs-137 remaining will drop below 1 kg.

Given that, The equation for amount of Cs-137 remaining (in kg) at the Chernobyl Nuclear Plant as a…

Answered: 1. In activity 5 (pp. 135-136) we found…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Which of the following functions exhibits exponential decay? A (=) = (4)° fa (a) = 2" fa (2) = (-2)° fa (2) = 2-3
4. Exponential Calculation A. The amount of algae in the petri dish of a mad scientist changes based on the following rules: (a) The amount of algae is modeled by exponential growth or decay depending on the time, starting with 3.1 grams. 0.1 (b) Every 2 days, the rate of change of the algae changes,, alternating between two modes: a(t+1) = 0.1a(n) where n is the day the change, and a(+1) a(t) Starting with the first. = = B. Find the amount after 7 days. 5. Suppose f(n) = xn is a function defined for all integers greater than 1 such that: I log2 In +log3 n... logn n = 1 for all integers n > 1. log₂ 2 = 1 A. Find the value of f(2)= x2 that solves:
IQuestion 3] A. Compute the value of x in the following i. 4* = 32 ii. 25B*+1) = 625 B. Express the following as a single logarithm i. % log 25 – 2log 3 +2log 6 ii. log (x+1)–log (x²-1) C. A culture of bacteria starts with 500 bacteria and increases exponentially. The relationship between the number of bacteria present B present in the culture and the time elapsed, d in days is modelled by the following equation B = 50 10 In how many days will the culture reach 1 600000 bacteria?
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Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14. Find the amount (percent of one gram) of carbon-14 lasting less than 5,730 years. This means, find P(x > 5,730).

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1. In activity 5 (pp. 135-136) we found the equation for the amount of Cs-137 remaining (in kg) at the Chernobyl Nuclear Plant as a function of the years since 1986: y = Algebraically find when the amount of Cs-137 remaining will drop below 1 kg. 1000(0.50)*/30.