In Problems 1–10 use the improved Euler’s method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.
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- Question 20arrow_forwardFor f(x) and g(x) given in Problems 35–38, find (a) (f + g)(x) (b) (f – g)(x) (c) (f'g)(x) (d) (f/g)(x) 35. f(x) = 3x g(x) = x' 36. f(x) = Vx g(x) = 1/x 37. f(x) = V2x g(x) = x² 38. f(x) = (x – 1)? g(x) = 1 – 2x Click to %3D For f(x) and g(x) given in Problems 39–42, find (a) (fº g)(x) (b) (g •f)(x) (c) ƒ(f(x)) (d) f(x) = (f·f)(x) 39. f(x) = (x – 1)³ g(x) = 1 – 2x 40. f(x) = 3x g(x) = x' – 1 41. f(x) = 2Vx g(x) = x* + 5 %3D %3D 1 42. f(x) = g(x) = 4x + 1arrow_forwardQuestion 16arrow_forward
- Problem 1. Find y as a function of a if y(1) = 6, y'(1) = −2. y = x²y" - 6xy' - 8y = 0,arrow_forwardQUESTION 4 Use the substitution u = (x – 1) to find dr, giving your answer in terms of x.arrow_forward12. The population, P, of fish in a lake can be modelled using the function P= 800 sin [30(x- 6)] + 2000, is the number of months after August 1. What is the population on November 1? a. 1200 fish b. 800 fish c. 2400 fish d. 2800 fisharrow_forward
- Problem 4.2 (Textbook: Figure 2.5 on P84): Hypothetically, a patient is diagnosed to have P, coronavirus at time t = 0 and these viruses grow subsequently (nobody really knows the truth but we assume) according to = -aP(M – P) where P(t) is the number of the cells at time t while a and M are two given positive constants. The patient will die when the number of bugs approaches infinity. Consider the case Po > M, find the time the patient has left to live, timed from t = 0. Your result is a formula with the given parameters Pg, M, a. For a more concrete example, please set P, = 1984, M = 1000, a = 1. Compute the patient's survival time. Never mind if the number is small when you use , a = 1 as no unit is given. If you insist having a "reasonable" number, I set a = 10* for which the time unit is week. Either number you use is correct for your HW solution.arrow_forwardplease help with attached questionarrow_forward√(√3+4) dr. -3 (c) Determine dr, where x>3.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage