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- The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec. When w = 4cm and l = 5cm , the area is increasing at a rate of _____ square cm/sec.Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When diameter is 30 inches, find the rate at which radius is charging and the rate at the surface area is chargingThe volume V of a right circular cone of radius r and height h is given byV = 1/3 πr2h.a) What is the formula of the instantaneous rate of change of V with respect to r, if r changes and h remains constant?b) What is the formula of the instantaneous rate of change of V with respect to h, if h changes and r remains constant?
- The rate of production of a new line of products is given by dx dt = 500 1 + 600 (t + 60)2The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec. When w = 4cm an l = 5 cm, the area is increasing at a rate of _____ square cm/secA 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 1b of salt per gallon is poured into the tank at the rate of 4 gal/min, while the well-stirred mixture leaves the tank at the rate of 2 gal min. Find the amount of salt (in pounds) in the tank at the moment of overflow