6. Below are the mountain heights for some mountains that are taller than 14,000 feet.

Height (ft.)

20,320

18,008

17,400

16,500

Name

Mt. McKinley

Mt. St. Elias

Mt. Foraker

Mt. Bona

Mt. Blackburn

Mt. Sanford

Mt. Vancouver

South Buttress

Mt. Churchill

16,390

16,237

15,979

15,885

15,638'

Mt. Fairweather

15,300

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)