How do you solve these problems? Please answer and explain each question.

The rectangle in the figure O 17 1. max area = sq. units. O 2. max area = 9 sq. units. O 15 3. max area = sq. units. (x, y) O 4. max area = 7 sq. units. O 5. max area = 8 sq. units. is formed with adjacent sides on the coordi- nate axes and one corner on the graph of 6x + 8 y = x2 +1 Find the maximum possible area of this rect- angle.When f has graph 01. I = 3A1 O 2. I = 3A1 - A2 O 3. I = 3A1 + A2 R1 0 4. I = -3A1 + A2 a by C 0 5. 1 = -A2 R2 0 6. I = -3A1 - A2 express the value of I = { 2f (x ) + If (x) dx in terms of the areas A1 = area(R1) , A2 = area(R2) of the respective shaded regions R1 and R2.Cyclist Joe accelerates as he rides away from a stop sign. His velocity graph over a 5 1. 51 ft