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Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area B). She draws the garden land in a coordinate system where 1a.e= 1m². She immediately sees that the shape corresponds to the area under the curve y=9 - x^2. Anna wants the area for the flowers to be twice as large as the area for the salad. Hampus says that if she draws a line at y= 5, surface B will be twice as large = as surface A, Anna is more doubtful. Determine if Hampus is right by calculating the areas A and B. A B 11 ₂

Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area B). She draws the garden land in a coordinate system where 1a.e= 1m². She immediately sees that the shape corresponds to the area under the curve y=9 - x^2. Anna wants the area for the flowers to be twice as large as the area for the salad. Hampus says that if she draws a line at y= 5, surface B will be twice as large = as surface A, Anna is more doubtful. Determine if Hampus is right by calculating the areas A and B. A B 11 ₂

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area B). She draws the garden land in a coordinate system where 1a.e= 1m². She immediately sees that the shape corresponds to the area under the curve y=9 - x^2. Anna wants the area for the flowers to be twice as large as the area for the salad. Hampus says that if she draws a line at y= 5, surface B will be twice as large = as surface A, Anna is more doubtful. Determine if Hampus is right by calculating the areas A and B. A B
Transcribed Image Text:Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area B). She draws the garden land in a coordinate system where 1a.e= 1m². She immediately sees that the shape corresponds to the area under the curve y=9 - x^2. Anna wants the area for the flowers to be twice as large as the area for the salad. Hampus says that if she draws a line at y= 5, surface B will be twice as large = as surface A, Anna is more doubtful. Determine if Hampus is right by calculating the areas A and B. A B
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