Question

at the point (1, 1, 3) 5y -y2 84. You are standing equation is given by on the hill whose (a) If you choose to climb in the direction of steepest ascent, what is your initial rate of ascent relative to the horizontal distance? (b) If you decide to go straight northwest, will you be ascending or descending? At what rate? (c) If you decide to maintain your altitude, in what di rections can you go?

Answer 1

Gen (E') tüx^J a) -2u t(5-3j (M)JA -20)1+ (5-2j Phe duechon d Steepezt ascent is 11JA Inihal aote ascent 13 mets In Sde to o. Starht nthcoest. we ant to Havel along the vec and nt vecto s V -it, 2x 5 3-5u meics f each sksght ntheoot goanding metc at a sak dr 3-5u meteis hoizontal cs Scanned with CamScanner

c) aae detamine the vects a HCe Such that fu(u)o -2uit3u2 Gyabscun the condttion 3i2j & u3i-2aive the too Poesible difections CS Scanned with CamScanner