Two identical twelve-inch rulers on a desk form an isosceles O 51 square inches per second triangle with included angle 0. If Mickie moves the rulers so that 0 increases at the rate of 2.5 radians per second, what is O 255 square inches per second the rate of change of the area of the triangle when 0 = nt /4 90 square inches per second radians? 127 square inches per second 12 inches Area 12 inches de = 2.5 rads/sec Note: the area of an isosceles triangle with legs of length / and included angle 0 is given by the formula A= -12 sin 0 An object is moving along the graph 0 0 O -20 of the curve 2x - y =1. 20/3 At a particular moment, the particle -20/3 is at (1, 1) and da LO Find the value of - dy dt at this moment. A balloon is being inflated from a helium tank at a constant O rate of 50 cubic inches per minute. How fast is the radius of inches per minute the balloon increasing when the radius is 5 inches? Assume O that the balloon is a perfect sphere. 7 inches per minute O V Sphere = = Tr3 inches per minute inches per minute