Let f: R → R be the mar defined by f(x1, 62)=(COS 11, sin 11, 11, 12) where (21, x2) is the natural coordinates of R. a

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Let F R R Be The Mar Defined By F X1 62 Cos 11 Sin 11 11 12 Where 21 X2 Is The Natural Coordinates Of R A 1 (20.44 KiB) Viewed 8 times

Let f: R → R be the mar defined by f(x1, 62)=(COS 11, sin 11, 11, 12) where (21, x2) is the natural coordinates of R. a a 1) Evaluate df (3- + 2 де! är where p = C: 2) il) Let g(41, 42, 43, 44)= y + y2 + 43.94 € C®(M), where (91,92, 93, 94) is the local a df, 3- 3- ar? ar! gof) III) Show that fis an immersion. dsm a soodinates of R". Then verty (15 ( 2 + 2))>= (* * +2+), (905) 9 ar? P