EXTRA CREDIT: +5 points
Semester 2 Unit 1 – 1-1 WKST Name:
Area Between Curves.
A Graphing Calculator is required for these problems.
1. Let R be the shaded region bounded by the graph of [pic] and the line [pic], as shown above. Find the area of R.
2. Let f and g be the functions given by [pic] and [pic]. The graphs of f and g are shown in the figure above. Find the area of the shaded region enclosed by the graphs of f and g .
3. Let f and g be the functions given by [pic] and [pic]. Let R be the shaded region in the first quadrant enclosed by the y-axis and the graphs of f and g , and let S be the shaded region in the first quadrant enclosed by the graphs of f and g, as shown in the figure above.
(a) Find the area of R.
(b) Find the area of S.
4. Let f and g be the functions given by [pic] and [pic].
(a) Find the area of the region enclosed by the graphs of f and g between [pic] and [pic].
(b) Let h be the function given by [pic]. Find the absolute minimum value of [pic] on the closed interval [pic], and find the absolute maximum value of [pic] on the closed interval [pic]. Show the analysis that leads to your answers.
5. Let R and S be the regions in the first quadrant shown in the figure above. The region R is bounded by the x-axis and the graphs of [pic] and [pic]. The region S is bounded by the y-axis and the graphs of [pic] and [pic].
(a) Find the area of R.
(b) Find the area of S.
-----------------------
x
O
ANSWERS:
1) 1.949 4a) 1.223
2) 1.133 b) min value: 2.330
3a) 0.0648 max value: e
b) 0.410 5a) 0.729
b) 1.161
R
[pic]
S
[pic]
y
O
1 —
1
[pic]
[pic]
y
x
O
x
[pic]
R
S
[pic]
y
O
x
R
y
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- preparing your calculator organising the input data
- calculus definite integrals area between curves
- 5 1 area between curves ksu
- 8 4 area between curves with respect to practice calculus
- math 131application area between curves
- math 131 application area between curves 7
- areas between curves lia vas
- 07 area between curves
- math 115 activity 1 saint mary s college
- unit 8 area between curves and applications of integration
Related searches
- interesting points in history
- no points no closing cost refinance
- highest word points in words with friends
- best credit card points offers
- 5 cash back credit card
- top 5 reward credit cards
- xfinity extra channel lineup extra 140 channels
- points or no points mortgage
- credit cards with points rewards
- 5 county credit union online banking
- american airlines points credit cards
- credit card with 5 back