(a) What type of curve is represented by 8x 2 4xy 5y 2 36 (b) Through what angle must the curve in part (a) be rotated in order that there is no x 'y ' term

Question: (a) What type of curve is represented by 8x 2 4xy + 5y 2 = 36? (b) Through what angle must the curve in

(a) What type of curve is represented by 8x² − 4xy + 5y² = 36?

(b) Through what angle must the curve in part (a) be rotated in order that there is no x'y' -term?

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a The equation 8x2 4xy 5y2 36 represents an ellipse To determine this we can examine the coefficients of the x2 xy and y2 terms If the coefficients of x2 and y2 have the same sign and are not equal the curve is an ellipse In this case the coefficient ... View full answer

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