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posted by  Itachi Uchiha on 8/29/2008 12:46:00 AM  |  status: Closed  

Definite Integral ( Concept Question )

Course Textbook Chapter Problem
Calculus N/A N/A N/A
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Q6. Name a numerical method for estimating the value of a definite integral.
Q7. What graphical method can you use to estimate the value of a definite integral?
Q8. Write the graphical meaning of derivative.
Q9. Write the physical meaning of derivative.
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posted by Big Willy on 8/29/2008 12:53:36 AM  |  status: Live
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Itachi Uchiha's comment:
"There are more questions.."
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Riemann sums (or rectangle approximations can be used).   A right hand or left hand estimate can be used.

Trapezoidal rule - trapezoids used for approximations.

Simpson's Rule - using parabolas
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posted by katyn on 8/29/2008 1:09:20 AM  |  status: Live
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Itachi Uchiha's comment:
"Eh..."
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I know that you can approximate a definite integral by using a Riemann sum, left endpoint approximation, right endpoint approximation, trapezoidal rule, and simpsons rule. But Im not sure what it means by a numerical method. But these are the only methods I know of. hope this helps a little bit
Tags: Math, Calculus
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posted by Big Willy on 8/29/2008 1:47:39 AM  |  status: Live
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Itachi Uchiha's comment:
"I am not sure I agree with Q7... I think it is counting squares..."
Response Details:
sorry they didn't show up when I answered the question

7.  A graphical method would be to use geometric areas to calculate such as A=lw or A=1/2bh

8.  The graphical meaning of the derivative is plotting the slope (dy/dx) as a function of time.

9.  The physical meaning of the derivative is the instantaneous rate of change at a single point.  
Tags: Math, Calculus
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posted by Big Willy on 8/29/2008 5:24:17 PM  |  status: Live
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Itachi Uchiha's comment:
"But its the beginning of the year... We never covered geometric shapes..."
Response Details:
Yeah....counting squares is a way to do it BUT ONLY if you have a grid.  On AP Tests often there is a graph to integrate with geometric shapes and the solution to it is to use geometric area formulas.  
Tags: Math, Calculus
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