xXMarcelieXx:

help please with part a

3 months ago
xXMarcelieXx:

3 months ago
sillybilly123:

the Green looks good. so what do you actually need? the parameterisation? if so: |dw:1511391060765:dw| $$\text{Path }\alpha: (0,0) \to (1,0)$$ $$\mathbf r_{\alpha} = <t, 0>, \qquad t \in [0,1], \qquad \mathbf r'_{\alpha} = <1, 0>$$ $$\text{Path }\beta: (1,0) \to (1,3)$$ $$\mathbf r_{\beta} = <1, t>, \qquad t \in [0,3], \qquad \mathbf r'_{\beta} = <0, 1>$$ $$\text{Path }\gamma: (1,3) \to (0,0)$$ $$\mathbf r_{\gamma} = <t, 3t>, \qquad t \in [1,0], \qquad \mathbf r'_{\gamma} = <1, 3>$$ and plug into what you have been given.... ...though i would parameterise this in $$x$$, not $$t$$, as it is easier.

3 months ago
sillybilly123:

A nicer version for $$\gamma$$ is: $$\mathbf r_{\gamma} = <1-t, 3(1-t)>, \qquad t \in [\color{red}{0,1}], \qquad \mathbf r'_{\gamma} = <-1, -3>$$ But ignore that f you like

3 months ago
xXMarcelieXx:

ty:)

3 months ago