Jeffrey Santos. AP Calculus FRQ Year 2008 #5. The Question?. A.) Find the Area of R. Using the graphing calculator, we find the intersection points of y=lnx and y=x-2. The intersection points of the graph are when x=.15859 and 3.14619. (Let A=.15859 and B=3.14619). Which then equals to:.
AP Calculus FRQ
The intersection points of the graph are when x=.15859 and 3.14619. (Let A=.15859 and B=3.14619)
Which then equals to:
To find the area of R, we do:
Plug in the formula to get:
Use graphing calculator and you get:
C.) Write, but do not evaluate, and integral expression that can be used to find the volume of the solid generated when R is rotated about the y-axis.
The new graph has two new intersection points, which are:
We plug it back into the
Washer Method formula.
x=1.1461(D) and -1.8414 (C).
And the new functions:
We then get the formula: