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The cost (in dollars) of producing x units of a certain commodity is C(x) = 2000 + 11x + 0.1x2.
(a) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.)(i) x = 103$ per unit
(ii) x = 101$ per unit
(b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.)$ per unit
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Use the first derivative test to locate and identify all relative extrema
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The bank charges interest of 4.5% interest per year compounded monthly for the first 10 years, then 5.6% interest per year compounded monthly the remaining years. if the loan has to be paid back in 20 years, what must their monthly payments be for..
The function f is differentiable on the interval [-1,1]. The table shows the values of f' for selected values of x. Sketch the graph of f, approximate the critical numbers, and identify the relative extrema.
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Probability & Statistics Questions. A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
Make a confidence interval at the 95 percent level
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