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Question 1 1 pts Consider the family of implicit curves given by the equation: 293 - 24y - 5x3 = C where C is a

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Question 1 1 pts Consider the family of implicit curves given by the equation: 293 - 24y - 5x3 = C where C is a real number constant. Verify that dy 52-2 using implicit differentiation. Show 2y2 -8 the process steps for credit. Edit View Insert Format Tools Table 12pt * Paragraph * B I U A BV Try | : p # 0words > ::::Question 2 1 pts Suppose C=0, so that 213 - 24y - 523 = 0. Find all points (x,y) at which the tangent line to the implicit curve corresponding to C=0 is horizontal. Show the algebraic process steps for credit. Use a graphing tool (such as desmos) to plot this implicit curve and to visually check the results of algebraic reasoning that you use to determine where the tangent lines are horizontal. Edit View Insert Format Tools Table 12pt w Paragraph * B I U Av & Try : p O words >

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