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A: Topic = Derivative
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A: Since you have posted multiple questions which are not interlinked so i can do first question as per…
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II Find the second derivative(y”) of the following functions and simplify the final results.
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- Differentiate : a. y= In(2x^2 +4) b. y= In(ax^2)Dataware is trying to determine whether to give a $10 rebate, cut the price $6, or have no price change on a software product. Currently, 40,000 units of the product are sold each week for $45 apiece. The variable cost of the product is $5. The most likely case appears to be that a $10 rebate will increase sales 30%, and half of all people will claim the rebate. For the price cut, the most likely case is that sales will increase 20%. a. Given all other assumptions, what increase in sales from the rebate would make the rebate and price cut equally desirable? b. Dataware does not really know the increase in sales that will result from a rebate or price cut. However, the company is sure that the rebate will increase sales by between 15% and 40% and that the price cut will increase sales by between 10% and 30%. Perform a sensitivity analysis that could be used to help determine Dataware’s best decision.At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B please answer a) b) and c)