Answers
Güven, T(x, y, z) = 10 e - 3x² - 3y² - 272 since, u s unit vector, ; (3, 2,4). :: Da +(3,4,4) = K TĄ (3,3,4), 17(3,14), Tz (3,3,4)) : Tx (3y,z) - d 10 e 3x² – 3y² 22 dx (-6x) & - 3x² – 3y ²22² . Tx (3, 1,4) - 60 (3) e -3(3)? 3(1) 2 2(4) - 63 = - 180 e
Ty (4 y, z) = ( 102-34-30°-22 10(-63).
.
E-34"-3°-222 10 (-6(1) € -3(3)-3(1)2- 2(4) Ty (3, 1,4) -63 = - Go e 4² - 3y² - 27 ..Tz (x, y, z) [1 10 e az 10 (-42) e 3x² - y²-22² 10 (-4(-)) e -30?=3()?- 24) :.Tz (3,1,4) = -63 - - 160 e :: Dux T(2,1,4) - | -1902-45, -602-43, -3602->> | - | 20663(-4,-3, -8>1 - 5 (100-63)² ( (-2)² + (-3)² + (-8} ?] 2012-6981+4+s4] 20 e-63 | 154 celsius/m.
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