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abcdefghijkimnopqrstuvwxyz abcdefghijkimnopqrstuvwxyz abodefghijkimnopgrstuvwxyz abodefghijkimnopqrstuvwxyz efghijkimnopqrstuwwxyzWestern Company Sdn Bhd. has installed a photovoltaic cells as a alternative toabcdefghijkimi abodefghijklmnopgrstuvwxyz fefghijkimnopqrstuvwxyz generate their electricity. The panel was heated in such a way that its temperatureabcdefghijkini abcdefghijkimnopqrstuvy (Farenheit. F ) at point (x,y) in meter is given by abcdef abcdef abcdefghijkimnopqrstuvwxyz abcdefghijkimnopqrstuvwxyz P(x,y)=x−yxy​ abcdef abcdef abodef abodefghijkimnopqrstuvwxyz abodefghijkimnopqrstuvwxyz ighijkimnopgrstuvwxyz (a) Find the rate of change in temperature at the point (5,9) in the direction of a vector abcdefghijkimnd cdefghijkimnopqrstuvwxyz v=5i+12j. abcdef abcdef abcdefghikimnopqrstuvwxyz qhijkimnopqrstuvwxyz (b) Find the direction and magnitude of the maximum rate of change of the temperature abcdefohilimne cdefghijkimnopgrstuvwxyz at the point (1,8). abcdefghijkimnopqrstuvwxyz abcdefahikim abcdefohikimnoparstuvwxyza abcdefighijkimnopqrstuvwxyz abodelghijkimnopgrstuwwxyz bcdefghijkimnopgrstuwwxyz abcdefghijkimnopqrstuvwxyz abodefghijkimnopqrstuvwxyz abcdefghijkimnopqrstuvwxyz