# Chapter 3.5 HW - Chapter 3.5 HW 2:44 PM ZHENG ZHOU...

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2/21/14, 2:44 PMChapter 3.5 HWPage 1 of 14Current Score :104 / 104Due : Thursday, February 13 2014 11:59 PM PST1.18/18 points | Previous AnswersThe graph of the equation 2x2+ xy+ y2= 4 is the tilted ellipse pictured below; i.e. the points (x,y) inthe plane that satisfy the equation yield the pictured ellipse. This is NOT the graph of a function y=f(x). However, if you solve the original equation for yin terms ofx, you can break the graph into two pieces, each of which is the graph of a function as pictured below.(a) The upper piece of the ellipse (solid) is the graph of the function y=g(x)= (b) The lower piece (dashed) of the ellipse is the graph of the function y=h(x)= Chapter 3.5 HW (Homework)ZHENG ZHOUMath124Winter14, section G, Winter 2014Instructor: Jonah OstroffWebAssignThe due date for this assignment is past.Your work can be viewed below, but no changes can be made.
2/21/14, 2:44 PMChapter 3.5 HWPage 2 of 14(c) There are two points indicated (as big dots) where the graphs of the functions in (a) and (b)"glue together". What is the x-coordinate of the right-most point? (d) The implicit derivative is dy/dx=. (e) Setting the denominator of (d) equal to zero yields the linear equation: y= (f)Simultaneously solving (e) with the original equation gives |x|=x
2/21/14, 2:44 PMChapter 3.5 HWPage 3 of 142.3/3 points | Previous AnswersSCalcET7 3.5.001.Consider the following equation.(a) Find by implicit differentiation.(b) Solve the equation explicitly for yand differentiate to get in terms of x.Solution or Explanation(a)
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