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The spring has a spring constant of 1000 N/m. It is compressed 15 cm, then launches a 200 g block. The horizontal surface is frictionless, but the block's coefficient of kinetic friction on the incline is 0.20. What distance d does the block sail through the air?


find lim x----> 1-x ^3/infinity x+1


You are a manufacturer of tennis balls in the Mumbai Suburbs. Recently, you got an order to supply 1200 units of the same on a monthly basis. The cost of carrying an inventory of such tennis balls is 1.80 per unit on yearly basis. The production process requires a setup cost on a per run basis of Rs. 1000.

Compute:

a. The EOQ, and define the need of computing the EOQ

b. The Optimum number of orders and optimum period of supply


Construct the sampling distribution




1. A population consists of the values 1,4,3,2 with sample size 2.




2. A population consists of 1,3,5,7,9 with sample size 3.

What would happen to the equilibrium price and quantity of chewing gum if income decreased and more firms started producing chewing gum?

. 30.0 g H2O  at an unknown temperature is mixed with 27.0 g of water at 15.8oC in a coffee-cup calorimeter. If     

        the final temperature of the mixture is 29.1oC, what is the initial temperature of the water?


Compare the amount of heat given off by 1.40 mole of liquid water when it cools from 100.0 oC to 30.0 oC to

    that given off when 1.40 mol of steam cools from 200.0 oC to 110.0 oC   ( Cp H2O (l)  = 4.184 j/g-oC  , Cp H2O (g)

    = 1.87 J/j-oC) . Explain your comparison


.   If 35.0 g H2O at 22.7°C is combined with 65.0 g H2O at 87.5°C, what is the final temperature of the 

      mixture? The specific heat capacity of water is 4.184 J/g⋅°C.


A coffee-cup calorimeter contains 50.0 g of water at 60.51°C. A 12.4 g piece of graphite at 24.21°C is  

     placed in the calorimeter. The final temperature of the water and the carbon is 59.02°C. Calculate

     the specific heat of carbon. The specific heat of water is 4.18 J/g⋅°C.


Write in the form “if p then q”, then write the converse, inverse and contra positive of each of the following implications.

  1. It is necessary to do your homework to get the passing grade.


a.  Converse (q →p) =

b. Contra positive (q→¬p )=

c.  Inverse (p→¬q ) =  

  

2. You can access the school Wifi only if you are enrolled.


a.  Converse (q →p) =

b.  Contra positive (q→¬p )=

c.  Inverse (p→¬q ) =   

 

3.   Mark gets a high grade whenever he studies his lesson.


a. Converse (q →p) =

b. Contra positive (q→¬p )=

c. Inverse (p→¬q ) =


4.  If you read your lessons everyday, you will pass all your course.


a.  Converse (q →p) =

b.  Contra positive (q→¬p )=

c.  Inverse (p→¬q ) =

  

5.  If it rains today, I will stay home and read my lessons.


d. Converse (q →p) =

e. Contra positive (q→¬p )=

f. Inverse (p→¬q ) =


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