Task 1
Internet Research
Search on the internet and write your own conclusions about calculus (differentiation) usage in different life applications like economy, medicine, engineering, etc…
∴How fast is the area of a rectangle changing if one side is 10cm long and is increasing at a rate of 2cm/s and the other side is 8cm long and is decreasing at a rate of 3cm/s?
∴An aircraft-flying horizontal at a speed of 600km/h. how fast is the distance between the aircraft and radio beacon increasing 1min after the aircraft passes 5km directly above the beacon?
∴A water tank has a height of 120m, and its area of cross-section is 2000m2. Water is released from the tank and the water level drops by 1 meter every minute.
∴The cost, in dollars, of producing gallons of wood stain is given by
What is the formula for the marginal cost function C'(x)?
∴A sailboat 3miles west of Point Stuart sails toward Point Stuart at 4miles per hour. At the same moment, a motorboat 4miles north of Point Stuart travels due south toward Point Stuart at 12miles per hour. At that moment in time, what is the rate of change in the distance between the sailboat and the motorboat in miles per hour?
CALCULUS 