CK12 Calculus - Single Variable

7. Supposethat the lengthof a rectangleis increasingat the rate of ft/minand the widthis increasingat
   a rate of ft/min.At whatrate is the area of the rectanglechangingwhenits lengthis ft and its widthis
   ft?


8. Supposethat the quantitydemandof new plasmaTVs is relatedto its unit priceby the formula
   , where is measuredin dollarsand is measuredin unitsof one thousand.How is the
   quantitydemandchangingwhen and the priceper TV is decreasingat a rate of
   ?


9. The volumeof a cubewith side is changing.At a certaininstant,the sidesof the cubeare inches
   and increasingat the rate of in/min.How fast is the volumeof the cubeincreasingat that time?


10. a. Supposethat the area of a circleis increasingat a rate of How fast is the radiusincreasing
    whenthe area is?
    b. How fast is the circumferencechangingat that instant?

Answers

1. 
   

   Answerswill vary.

   
   


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3. 
   

   Usingthe followingdiagram,

   
   


4. 
   

   Usingthe followingdiagram,