4. Unable to devise an escape plan that does not involve diving through a window, Erin...

 

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4. Unable to devise an escape plan that does not involve diving through a window, Erin reluc- tantly agrees. A burly body guard leads her through the house to a corridor, which Erin realises is where the kidnapped squggles are being kept. Erin enters the first door on the left and hears the door lock behind her. A timid squirrel looks up from his book. After several hours of attempting and failing to escape, Erin decides to amuse herself by telling the squggle a story. As is often the case with interesting stories, this one involves some calculus. The following problem must be solved to resolve the story. Consider the curve C defined implicitly by y² = k ln(y)x - 2x + 1 where p and k are constants. (a) Calculated in terms of p and k. (b) Find specific values of p and k such that the curve C has a horizontal tangent line at the point (1,2). 4. Unable to devise an escape plan that does not involve diving through a window, Erin reluc- tantly agrees. A burly body guard leads her through the house to a corridor, which Erin realises is where the kidnapped squggles are being kept. Erin enters the first door on the left and hears the door lock behind her. A timid squirrel looks up from his book. After several hours of attempting and failing to escape, Erin decides to amuse herself by telling the squggle a story. As is often the case with interesting stories, this one involves some calculus. The following problem must be solved to resolve the story. Consider the curve C defined implicitly by y² = k ln(y)x - 2x + 1 where p and k are constants. (a) Calculated in terms of p and k. (b) Find specific values of p and k such that the curve C has a horizontal tangent line at the point (1,2).

Answer rating: 100% (QA)

K Iny x 2x1 differentiate both sides with respect to x YP k d iy x dx 2x ax 1 1 dx ... View the full answer