Graph the Hyperbola $y ^ { 2 } - 4 x ^ { 2 } = 4$

question 15

Multiple Choice

Graph the hyperbola. Specify the following: vertices, foci, lengths of transverse and conjugate axes, eccentricity, and equations of the asymptotes. $y ^ { 2 } - 4 x ^ { 2 } = 4$

• A) vertices: \(( 0 , \pm 2 )\) ; Foci: \(( 0 , \pm \sqrt { 5 } )\) ; Length of transverse axis: 4; Length of conjugate axis: 2; Eccentricity: \(\frac { \sqrt { 5 } } { 2 }\) Asymptotes: \(y = \pm 2 x\) .
• B) vertices: \(( 0 , \pm 1 )\) ; Foci: \(( 0 , \pm \sqrt { 5 } )\) ; Length of transverse axis: 2; Length of conjugate axis: 4; Eccentricity: \(\sqrt { 5 }\) ; Asymptotes: \(y = \pm \frac { 1 } { 2 } x\) .
• C) vertices:\(( \pm 2,0 )\) ; Foci: \(( \pm \sqrt { 5 } , 0 )\) ; Length of transverse axis: 4; Length of conjugate axis: 2; Eccentricity: \(\frac { \sqrt { 5 } } { 2 }\) Asymptotes: \(y = \pm \frac { 1 } { 2 } x\) .
• D) vertices:\(( \pm 1,0 )\) ; Foci: \(( \pm \sqrt { 37 } , 0 )\) ; Length of transverse axis: 2; Length of conjugate axis: 12; Eccentricity: \(\sqrt { 37 }\) ; Asymptotes: \(y = \pm 37 x\) .
• E) vertices: \(( \pm 1,0 )\) ; Foci: \(( \pm \sqrt { 5 } , 0 )\) ; Length of transverse axis: 2; Length of conjugate axis: 4; Eccentricity: \[\sqrt { 5 }\] Asymptotes: \(y = \pm 2 x\) .

Understand the classification and treatment of direct and indirect costs in manufacturing.

Identify and differentiate between period costs and product costs.

Understand the concept and components of manufacturing overhead.

Calculate conversion costs and understand their components.

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