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Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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Since (x,y)(x,y) is constrained to be in a circle, 3x+4y=733x+4y=73. (The lines 3x+4y=c3x+4y=c and the circle should touch each other and should be as far away as possible from origin. From this, cc can be evaluated). The point of touching gives max value. Another method that can give answer is the Lagrange multiplier but I just learnt it yesterday. Its makes the solution long and its not in my syllabus. Also, I don't know anything about gradients (But I am beginning to love math after reading about it) Is there a simpler solution?
Substitute u=x−7u=x−7, v=y−3.v=y−3. Then the problem becomes: Find the maximum value of 3u+4v3u+4v if u2+v2=64.u2+v2=64. Now substitute: u=k3u=k3 and v=l4v=l4 then our problem becomes: Find the maximum value of k+lk+l if k2242+l2322=1k2242+l2322=1. But we can substitute k=24sinξ,l=32cosξk=24sinξ,l=32cosξ hence
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