07.06 Module Seven Test Part 1.docx - Quiz Question 1(5 points Saved Find the particular solution to y \u2032 = sin(x given the general solution is y = C

07.06 Module Seven Test Part 1.docx - Quiz Question 1(5...

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QuizQuestion 1 (5 points)SavedFind the particular solution to y ′ = sin(x) given the general solution is y = C − cos(x) and the initial condition .Question 1 options:1) -cos(x)2) 2 - cos(x)3) -1 - cos(x)4) 1 - cos(x)
Question 2 (5 points)SavedThe slope of the tangent to a curve at any point (x, y) on the curve is . Find the equation of the curve if the point (3, −4) is on the curve.
Question 3 (5 points)
SavedThe rate of decay in the mass, M, of a radioactive substance isgiven by the differential equation , where k is a positive constant. If the initial mass was 100g, then find the expressionfor the mass, M, at any time t.
Question 4 (5 points)SavedThe temperature of a pot of coffee varies according to Newton's Law of Cooling: , where T is the temperatureof the coffee, A is the room temperature, and k is a positive constant. If the water cools from 90°C to 85°C in 1 minute at a

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