If you go back to the beginning, keeping everything the same but changing curveplotter[t] = {cos[t], 3 t sin[t], 3 t} to curveplotter[t] = {f[t], g[t], 3 t} where f[t] and g[t] are any functions you care to use, then how do you know that the volume of the resulting tube measures out to 24 π cubic units?

5.6%

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

a

step-by-step explanation: