Monthly sales of a particular computer are expected to decline at the following rate of S'(t) computers per month, where t is time in months and S(t) is the number of computers sold each month. K 2 S'(t) = - 45t-60 The company plans to stop manufacturing this computer when monthly sales reach 800 computers. If monthly sales now (t= 0) are 2,960 computers, find S(t). Use a graphing calculator to approximate the solution of the equation S(t) = 800. S(t) = Use a graphing calculator to approximate the solution of the equation S(t) = 800. t ~ (Round to two decimal places as needed.)Find the particular antiderivative of the following derivative that satisfies the given condition. K C'(x) = 6x2- 4x; C(0) = 3,000 C(x) =Calculate the indicated Riemann sum S4 for the function f(x) = 34 - 3x2. Partition [0, 12] into four subintervals of equal length, and for each subinterval [Xk - 1,Xx], let ck = (Xk -1 + 2xk) /3. S4 =] (Simplify your answer.)\fK A yeast culture is growing at the rate of W'(t) = 0.30.1 grams per hour. If the starting culture weighs 3 grams, what will be the weight of the culture, W(t), after t hours? After 9 hours? The weight of the culture after t hours will be W(t) =. The weight of the culture after 9 hours will be grams. (Round to the nearest hundredth as needed.)Evaluate the following indefinite integral. K 8 x dx 8 x dx =Find the general solution for the first-order differential equation. K ay = -27x dx The general solution isThe amount of carbon-14 present in animal bones after t years is given by P(t) = Poe-0.000121. A bone has lost 12% of its carbon-14. How old is the bone? The bone is about years old. (Round to the nearest integer as needed.)