Question

1. Find the tangent plane to the given surface at the given point (1) z r'--yz? + уз at (1, 1, 1) (2)T at (2,3, 1) z+y+1 (3)2V +y at (1,2,3)

Answer 1

Equatin fo the tangent plane of the function c) 3 Now -3-2 2 T hus etonf the targent plane of 0

b) Here uS 2. (243+1 2+3+ 1)1 36 3 Similarly 2.

thus (2+3t1) 36 thas equatlonf the taplan to the 3 6 ラ 62-6 = 2x+y-1 c) Heye O W х. 3

erefore (1,2) Similayly 3 US 2 2. 2. thus equaten f the tangent plane 2.