Find the work done by the vector field f~ (x, y, z) = 2y~i + e x~j − z 3~k moving a particle along the curve c given by ~r(t) = (t 2 , t2 + 2, t), 0 ≤ t ≤ 1.

The work done by along is

correct answer:

b.(19,-2)

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.