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)

a. Parameterize by

with . The work done by along is

b. Break up into each component line segment, denoting them by and , and parameterize each respectively by

both with . Then the work done by along each component path is

giving a total work done of .

c. Parameterize by

with . Then the work done by is

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13