Use the graph to estimate A'(0), A'(5), A'(10), A'(15), and A'(20), including its units.

Find general solutions, and particular solutions if initial values are given. Showthe details of your work. 8y" – 6y' + y = 6 cosh x , y(0) = 0.2, y'(0) = 0.05

pan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. An article reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). The following data was read from a graph in the article. x 125.8 98.1 201.4 147.3 145.9 124.7 112.2 120.2 161.2 178.9 159.5 145.8 75.1 151.5 144.2 125.0 198.8 133.9 y 77.9 76.8 81.5 79.8 78.2 78.3 77.5 77.0 80.1 80.2 79.9 79.0 76.9 78.2 79.5 78.1 81.5 71.0 (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.)slope: intercept: (b) Does there appear to be a useful linear relationship? Carry out a test using the ANOVA approach and a significance level of 0.05. State the appropriate null and alternative hypotheses.…

55. Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² in a petri dish. She observes that the area, in square millimeters, of the colony of bacteria t hours after an antibiotic is applied is given by A(t) = 500e-0.06t a) Find the area of the colony of bacteria after 2 hr, 5 hr, and 10 hr.