D Calculus Early Transcend X C Calcul Early Transcende x G Google Search x C www
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D Calculus Early Transcend X C Calcul Early Transcende x G Google Search x C www.chegg.com/ help/Calculus-Early-Transcendenta 0th-edition chapter- problem -41E solution-978 homework Apps C Chegg. Bookmark snow all steps 2 E Chapter 11.1, Problem 41E Step 1 of 22 A The given equation is 4x +92 36 This equation does not involve y, so the graph will be a surface obtained by extrusion parallel y abis. This means that any vertical plane with equation y k parallel to xz- plane) intersects the graph in a curve with equation 4 +9z3 36. In xz-plane the graph of equation 4x +9za 36 is an ellipse intersecting x-azis in (+3.0.0) and axis in (0.0.t2) and thus in 3-space the graph of the given equation will be a cylinder The sketch of the graph is: Step 2 of 2 A O a Ask me any TUTORS CHAT DC 4x PM 12/5/2016Explanation / Answer
General equation of the ellipse is x2 / a2 + z2 / c2 =1 where a, b are called semi major and smi minor axis
and th e ellipse is in xz plane and the height y will give the surface shown in the figure
the ellipse intersect the x- axis at (a.0 ,0) , ( -a,0 ,0)
the z - intercept is ( 0,0,c ) and ( 0,0,-c)
the eqn is 4x2+9y2 =36 which can be written as
x2 / 9 + z2 / 4 =1 => a2 = 9 and a= 3 ,-1 : c2 =4 and c= 2,-2
hence the curve meets the x- axis at (3,0,0,) and (-3,0,0)
and the z-axis at ( 0,0,2) and (0,0,-2)
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