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8. The arca of a triangle withe sides of lengths a and 6 and contained angle @ is A = LabsinB (See Formala G in Appendbe D. ) a. If a = 2 0m, 6=3 am, and O incraves at a rate of 0.2 rad/ min, how fast is the area increasing when B= 12 b. If a= 2cm, 6 increases at a rate of 1.Som / min, and O increases at a rate of 0.2 rad / min, how fast is the area incrossing when b= 3 am and Os II 2 c. If a increases at a rate of 2.5 am/ min, 6 increases at a rate of 1.5 cm / min, and & increases at a fate of 0.2 rad / min, how fast is the area increasing when a = 2 cm, 6= 3am, and 8- 7 2 25. Water is leaking out of an inverted conical tank at a rate of 10, 000 con3/ anin at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/ min when the height of the water is 2m, find the rate at whit water is being pumped into the tank