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USE DERIVATIVES TO SOLVE RELATED RATES PROBLEMS BEING ABLE TO MODEL HOW THE RATES OF DIFFERENT QUANTITIES THAT DEPEND UPON THE SAME PARAMETER, SUCH AS TIME, INTERACT: While building a snowman, a large snowball is created so that the radius is changing at the rate of 5 inches per hour. How fast is the volume of the snowball changing at the instant the snowball has a radius of 10 inches? 000π in3/hour 2000m in3/hour 200π in3/hour 100π in3/hour 01 15. BE ABLE TO USE THE MEAN VALUE THEOREM FOR DERIVATIVES TO MAKE ( point CONCLUSIONS ABOUT A FUNCTION ON CERTAIN INTERVALS AND POINTS WITHIN THOSE INTERVALS, AND EXPLORE THESE RESULTS VIA GRAPHICAL METHODS. EVALUATE LIMITS INVOLVING INDETERMINATE FORMS USING LHOPITALS RULE FOR EXAMPLE: 0/0,o/oo, 0too, 0o-co, 1o0, 00, and oo0. If fx) x2-9)%x2+ 1), how many numbers in the interval [-1, 1] satisfy the conclusion of the Mean Value Theorem? None 03
Where is the second derivative of y = 4xex equal to 0? -4 2
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