Use the sum of a series to estimate the area under the curve f(x)=-x^2+12x+13 over 0 less than or equal to x less than or equal to 12. Use 4 intervals.

A) 453 square units
B) 460 square units
C) 534 square units
D) 318 square units

Question

Use the sum of a series to estimate the area under the curve f(x)=-x^2+12x+13 over 0 less than or equal to x less than or equal to 12. Use 4 intervals. 

A) 453 square units
B) 460 square units
C) 534 square units
D) 318 square units

anonymous · Answer

@tcarroll010 When you get a chance, will you take a look at this and see if you can figure it out?

anonymous · Answer

I understand this problem and it's actually a pre-calculus problem.  It's a long explanation, but it will teach you a lot.  Is that what you are in?  Pre-calculus?  I thought you were in Algebra II?

anonymous · Answer

I am in Algebra 2. This is a problem my teacher put on our take home test. He has never went over anything like this before!

anonymous · Answer

Okay, but it's a little advanced.  I don't know where some of these teachers get some of these problems.  They are torturing you!

anonymous · Answer

Haha, tell me about it! I'll try to keep up!

anonymous · Answer

I was using an online graphing tool that is not working so well and I was trying to give you a picture.  Anyway, this is a parabola opening downward and you are supposed to divide up the area underneath into 4 rectangles that will still fit under the parabola.  I'll use the Open study tool.

anonymous · Answer

|dw:1352854687927:dw|You are basically supposed to do that.  I cannot believe they are giving you this problem.  It's the beginning of a second course in calculus conceptually.