Refer to page 128 for the heat equation problem. Solve the one-dimensional heat equation with the given initial and boundary conditions. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Use Fourier series or other appropriate methods.

Lake Ontario has a volume of approximately V =1600 km3. It is heavily polluted by a certain pollutant with a concentration of co = 0.1%.As a part pollution control, the pollutant concentration of the inflow is reduced to cin = 0.02%. The inflow and outflow rates Qin = Qout = Q = 500 km3 per year. Suppose that pollutant from the inflow is well mixed with the lake water before leaving the lake. How long will it take for the pollutant concentration in the lake to reduce to 0.05%?

Kayla Mason - Ch 6 Sec x alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3JH-IBjnuwZGiweFMYphv4tCLy6BMp$90NH0-bYrzEX_4hK4CwaDgYA6GPM_J53shLwhxNiu5pvnDtwErASY jJKC7hQv-Lwao?1oBw7OyibavbSPXtx-YCjsh 7mMmrq. Ch 6 Sec 4 Homework Question 3 of 4 (1 point) Question Attempt: 5 of Unlimited Kayla Españc 1 =D3 X 4 Below, n is the sample size, p is the population proportion of successes, and X is the number of successes in the sample. Use the normal approximation and the TI-84 Plus calculator to find the probability. Round the answer to at least four decimal places. n= 80, p=0.45 P(X< 42) 0.9004 do

COB B CS AT www.awu.aleks.com/alekscgi/x/sl.exe/1o u-igNulkas NWBDBA9PVVROTV964L4jq9c-vwin2qWwkjkNo-PgOw95sENkmdQpH5vqrZDkbqpC4E3aEdOWHrekU30M Exponential and Logarithmic Functions Evaluating an exponential function that models a real-world situation The radioactive substance uranium-240 has a half-life of 14 hours. The amount 4 () of a sample of uranium-240 remaining (in grams) afte the following exponential function. A(1) 3200 Find the initial amount in the sample and the amount remaining after 60 hours. Round your answers to the nearest gram as necessary.. Initial amount: grams Amount after 60 hours: Ograms Explanation Check Type here to search X 2024 McGraw Hill LLC. All Rights Reserved. Ef