Solving problems involving areas of plane regions

What are the intersections of the curve x= y²-2 and the line y= x?

• (-1,2) and (1,2)

• (-2,1) and (1,2)

• (-1,-1) and (2,2)

• (1,2) and (1,1)

• 4

• 5

• 6

• 7

• 3.5

• 4.0

• 4.5

• 5.0

• a = 2, b = 5

• a = 1, b = 4

• a = 0, b = 3

• a = -1, b = 2

Find the area of the region bounded by the curve y= x² - 4x, the x-axis, and the line x = 1 and x = 3

• 22/5 sq. units

• 23/3 sq. units

• 22/3 sq. units

• 23/5 sq. units

Which of the following is the correct formula for solving problems involving areas of plane regions?

• The area under the curve f(x) where it is above the x-axis

• The total area between the curve f(x) and the x-axis, considering both positive and negative regions as positive

• The area between two curves f(x) and g(x)

• The volume of a solid of revolution

What is the acceptable graphical representation for the area of the region bounded by y = x^2 + 7 and y = x + 9?

• 
• 
• 
•