29. Page 41 Refer to page 41 for the Taylor series expansion problem. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg 1t2q15dbpVLCS/view?usp=sharing] 30. Page 43 The problem involving solving a differential equation is located on page 43. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxp RyejKEMg 1t2q15dbpVLCS/view?usp=sharing]
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- Refer to page 90 for a problem requiring Fourier series expansion of a given periodic function. Instructions: Clearly outline the process of finding Fourier coefficients. Provide all calculations, integrals, and final expansions. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing] Refer to page 93 for a problem involving Cauchy-Euler differential equations. Instructions: Solve the given differential equation step-by-step, showing the characteristic roots and general solution clearly.Assn #3 Pg 13 (1-10) And Works x em/?file=https://drive.google.com/uc?id%3D1CTEVTWK8MB4C_mgM7cZiHsSSPeOAZ 10&export%3Ddownload&filename%3DAttachment:%20PDF:%2 9. The balance in a bank account with an annual interest rate of 2%, compounded annually, can be represented using the function f(t) = 1000(1.02), where t is the time in years after opening the %3D 1 account. What was the approximate account balance 6 years and 3 months, or 6- years, after 4 the account was opened?4. Suppose that a single bacterium is in a bottle at 11:00 am. It divides into two bacteria at 11:01 am, and the population continues to double every minute until the bottle is completely full at 12:00 noon. Find how many bacteria there are at 11:26am. Show work or calculations! (4.1). (4.2) Work: 11:00-11.26 = 26 min + = 26 = 20 = 67,108,864 = 11:26 am Answer: 11:26 am = 67,108,864 Find the fraction of the bottle that is full at 11:55 am. (Hint, work backward!) Show calculations or give an explanation. Work: Answer:
- Solve by power series y" + xy + x²y = 2x²Find the value of a a^1/3=4X + content.blackboardcdn.com/5fca504f85917/2425530?X-Blackboard-Expiration=1670133600000&X-Blackbo word b bartleby P parchment transcri... -oard citation maker O outlook jcc 3 / 3 100% + 15) The half-life of uranium-123 is 200 years. What percent of my original amount of uranium-123 will remain after 940 years?
- Find the Taylor Series for the function f(x)=e^(-6x) about x=-4 ؟9. inomial 302 O (7x+6)² (6x - 7)² O (6x + 7)² O (7x - 6)² 04x + 49. 10. Iron-59 has a half-life of 44.5 days. How much of a 3.00 mg sample will be left after 222.5 days? about 6.00 milligrams about 0.09 milligrams about 0.03 milligrams about 0.90 milligramsPlease answer no. 4 only
- 4. Suppose that a single bacterium is in a bottle at 11:00 am. It divides into two bacteria at 11:01 am, and the population continues to double every minute until the bottle is completely full at 12:00 noon. Find how many bacteria there are at 11:26am. Show work or calculations! (4.1) Work:Prove. Show all steps to get to ln (2^(-2n))