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Given f(x)=x^7 -x^5 -x^4 +2x +1 on interval [-1,1] show that there's at least one critical point on this interval.


A graph of position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. (The horizontal axis is marked in increments of 5 s and the vertical axis is marked in increments of 5 m.)

A local TV repairs shop uses 36,000 units of a part each year (A maximum consumption of 100 units per working day). It costs Rs. 20 to place and receive an order. The shop orders in lots of 400 units. It cost Rs. 4 to carry one unit per year of inventory.

 

Requirements:

(1) Calculate total annual ordering cost

(2) Calculate total annual carrying cost

(3) Calculate total annual inventory cost

(4) Calculate the Economic Order Quantity

(5) Calculate the total annual cost inventory cost using EOQ inventory Policy

(6) How much save using EOQ

(7) Compute ordering point assuming the lead time is 3 days




State & explain two key questions about how resources are allocated.


how do you Outline the steps that must occur for a eukaryotic cell to begin synthesis of a protein?

include where in the cell each step is occurring (i.e., nucleus, cytoplasm etc.).


Steve can bake either 4 loaves of bread or 12 dozen cookies a day. Sarah can bake either



4 loaves of bread or 8 dozen cookies a day.



a. Show the production possibilities frontiers for Steve and Sarah



b. Suppose trade is not allowed between Steve and Sarah and as a result, both Steve and



Sarah spent half a day (12 hours) baking bread and the other half a day baking cookie.



Show both the production and consumption bundles for Steve and Sarah on their



respective PPFs, when trade is not allowed between Steve and Sarah.



c. Show, using production possibility frontiers in (a), that Steve and Sarah would be



better off specializing in their baking activities and then trading, rather than baking



only for themselves. Be specific and state the production and consumption bundles



with trade.

Propane (C3H8) burns in oxygen to produce carbon dioxide gas and water vapor. (a) Write a balanced equation for this reaction. (b) Calculate the number of liters of carbon dioxide measured at STP that could be produced from 7.45 g of propane.


Write the code to test if the variables num1 and num2 are not the same


What would be the quantity of zinc oxide if u are to prepare 200ml

Allocate a suitable abbreviation for Tubby and non-tubby flies


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