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(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If...
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(a) Graph several members of the family of curves x2 + y2 + cx2y2 = 1 Describe how the graph changes as you change the value of c. (b) What happens to the curve when c = -1? Describe what appears on t...
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1. Consider the family of curves y2 - 2x2(x + 8) = [(y + 1)2(y + 9) - x2] (a) By graphing the curves with c = 0 and c = 2, determine how many points of intersection there are. (You might have to zoom...
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