A balloon is pictured. Its volume is given by [math]V[/math] shown on the horizontal axis, and its radius is given by [math]R[/math]. Drag [math]V[/math] to adjust the volume of the balloon.

[b]1.[/b] Find the volume [math]V_p[/math] at which the balloon pops.[br][br][b]2.[/b] The radius [math]R[/math] is a function of [math]V[/math].[br][br] [b](a)[/b] Estimate [math]\displaystyle\lim_{V \rightarrow V_p^-} R[/math] by manipulating the value of [math]V[/math].[br][br] [b](b)[/b] Compute [math]\displaystyle\lim_{V \rightarrow V_p^-} R[/math] exactly by using the expression for [math]R[/math] as a function of [math]V[/math].[br][br] [b](c)[/b] Explain what [math]\displaystyle\lim_{V \rightarrow V_p^-} R[/math] represents in words.