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1. A spherical balloon is being blown up such that its volume increases at the constant rate of 2.00 m/min. Find rate at which

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1. A spherical balloon is being blown up such that its volume increases at the constant rate of 2.00 m/min. Find rate at which the radius is increasing when it is 3.00 m. 2. An aircraft is flying horizontally at a speed of 600 km/h. How fast is the distance between the aircraft and a radio beacon increasing 1 min after the aircraft passes 5 km directly above the beacon (as shown below)? 5 KM 600 KM/H 3. Find the area in the region bounded above by y = x + 1, bounded below by y = x, and bounded by sides by line x=1 and x =2. 4. Find the area of the region that enclosed between the curves y = x and y = x.

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