Area Under the Curve Project



Area Under the Curve - Quiz Grade 2013

You will choose a picture of a curve.

y

The picture will be will superimposed over

an x-y coordinate grid system.

You will determine at least 15 coordinate points.

Estimate coordinate point values to the nearest x

tenths place

You will use your calculator to find a best-fit curve.

You will find the equation of the curve.

(Using approximate points and your calculator.)

You will copy the full calculator value for the

equation into Y=.

You will round to 1 decimal place to write

this equation on your worksheet.

You will find the area under the curve using the limit process (using the rounded equation, bounded by the x-axis and two vertical lines passing through the x-axis). Every group member must do this complete calculation and turn it in. The two vertical lines intersecting the x-axis must have a difference of at least 10. You must show all calculations on paper!

You will find the area under the curve ( ∫ ) using the calculator.

The region looks like:

Your answer will look like:

The area of the region bounded by f(x) = -0.02x3 + 0.39x2 – 2.39x + 7.29 and the x-axis between x = 1 and x = 10 is 27.73 units2.

Area Under the Curve - Quiz Grade 2013

Name: Name:

Name: Name:

1. Coordinate points used

x | | | | | | | | | | | | | | | | | | | | | |y | | | | | | | | | | | | | | | | | | | | | |

2. Equation of best-fit curve: _________________________________________

3. The region is bounded by a. ______________________

b. ______________________

c. ______________________

d. ______________________

Area Calculations are to be completed on separate sheets for each member of the group.

The area of the region bounded by f(x) = _______________________________

and the x-axis between __________ and __________ is ____________________

units2.

“Area Double Check” using the calculator: ____________________

The difference in calculator value and calculated value is _______________

You will turn in

1. this completed sheet

2. picture

3. area calculations for each group member

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