Determine the points (if any) on the curve C at which the vector field F is tangent to C and normal to C. Sketch C and a few representative vectors of F.

F = < 6x, 6y >, where C = { (x, y): x^2 + y^2 = 64 }

Where is F tangent to C?

Where is F normal to C?

Sketch C on a graph and a few representative vectors of F.

Amanda went into the grocery business starting with five stores. after one year, she opened two more stores. after two years, she opened two more stores than the previous year. if amanda expands her grocery business following the same pattern, which of the following graphs represents the number of stores she will own over time?