Determine the area bounded by the ellipse satisfying: (101x + 10y)? + (20x + 2y)2 = 1. Hint: Compare the area inside this ellipse with the area of a circle of radius one, using a linear transformation and its determinant. Note that if u = 101x + 10y and v = 20x + 2y, the equation provided becomes the equation of a circle of radius one u? + v² transformation that transforms, this circle of radius one into the curve that was given? = 1. Can you find a linear

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Please help. This problem involves areas and linear transformations. Thank you.

Problem 11.
Determine the area bounded by the ellipse satisfying:
(101x + 10y)2 + (20x + 2y)² = 1.
Hint: Compare the area inside this ellipse with the area of a circle of
radius one, using a linear transformation and its determinant. Note that
if u = 101x+ 10y and v =
equation of a circle of radius one u? + v² = 1. Can you find a linear
transformation that transforms, this circle of radius one into the curve
that was given?
20x + 2y, the equation provided becomes the
Transcribed Image Text:Problem 11. Determine the area bounded by the ellipse satisfying: (101x + 10y)2 + (20x + 2y)² = 1. Hint: Compare the area inside this ellipse with the area of a circle of radius one, using a linear transformation and its determinant. Note that if u = 101x+ 10y and v = equation of a circle of radius one u? + v² = 1. Can you find a linear transformation that transforms, this circle of radius one into the curve that was given? 20x + 2y, the equation provided becomes the
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