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29. + -/2 points SCalcETSM 3.9.002. My Notes + Ask Your Teach (a) If A is the area of a circle with radius / and the circle expands as time passes, find dA/dt in terms of dr/dt. dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 30 m? m /s Need Help? Read It 30. + -/1 points SCalcET8M 3.9.005.MI. My Notes + Ask Your Teacher A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m /min. How fast is the height of the water increasing? m/min Need Help? Read It Watch It Master It 31. + -/1 points SCalcETSM 3.9.006. My Notes + Ask Your Teacher The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 40 mm? mm-/'s Need Help? Read It 09:29 10/10/2019X 31. +-/1 points SCalcET&M 3.9.006. The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 40 mm? mm /s Need Help? Read It 32. + -/1 points SCalcET8M 3.10.002. Find the linearization L(x) of the function at a. f(x) = sin(x), a = 1 L( x ) = Need Help? Read It 33. +-/2 points SCalcET&M 3.10.013. Find the differential of each function. (a) y = tan(v 3t) dy = y = 2- v2 2 + 42 dy = e 9 DELL