Let the area of the region {(x,y):0≤x≤3,0≤y≤ min{x2+2,2x+2}} be A. Then 12 A is equal to ______

Question

Let the area of the region {(x,y):0≤x≤3,0≤y≤ min{x2+2,2x+2}} be A. Then 12 A is equal to ______
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Solution 1

To solve this problem, we need to find the area under the curves y = x^2 + 2 and y = 2x + 2 in the interval [0, 3] and then multiply it by 12.

Step 1: Find the intersection points of the two curves. Set x^2 + 2 = 2x + 2 and solve for x. The solution is x = 0 and x = 2.

Step 2: Calculate the area u Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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