Consider the equation of an ellipse written in terms of x and y as 13 x...

  

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Consider the equation of an ellipse written in terms of x and y as 13 x² - 8yx + 7 y² = 1 Find an equivalent equation for this ellipse in terms of u and u in the form Au² + Bv² where A and B are constants. Note that this question requires you to enter all answers before the Check button will mark your attempt. How are u and u defined in terms of x and y? • U = • U = = 1 Consider the function f (x, y, z) = x y z constrained by c(x, y, z) = y +2z+ 4 = 0. Find all critical points. Enter your answer into the boxes below. If you need more input boxes, click the button. You can leave input boxes empty if you show too many, but should make sure you include all critical points before submitting your answer! (x, y, z) = ( Add another point Hint: This follows the same strategy as the two-variable case! Start by setting Vf = 2Vc, taking c = 0, and then solving these four equations for x, y and z. Consider the equation of an ellipse written in terms of x and y as 13 x² - 8yx + 7 y² = 1 Find an equivalent equation for this ellipse in terms of u and u in the form Au² + Bv² where A and B are constants. Note that this question requires you to enter all answers before the Check button will mark your attempt. How are u and u defined in terms of x and y? • U = • U = = 1 Consider the function f (x, y, z) = x y z constrained by c(x, y, z) = y +2z+ 4 = 0. Find all critical points. Enter your answer into the boxes below. If you need more input boxes, click the button. You can leave input boxes empty if you show too many, but should make sure you include all critical points before submitting your answer! (x, y, z) = ( Add another point Hint: This follows the same strategy as the two-variable case! Start by setting Vf = 2Vc, taking c = 0, and then solving these four equations for x, y and z.

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To determine the ellipses corresponding equation in terms of v and Therefore it is necessary to first translate u and v into terms of x and y The desi... View the full answer