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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