Multiple Choice: No Calculator 1. What is the area of the region between the graphs of y = x 2 and y = -x from x = 0 to x = 2 ? 2 (A) 3 (B)
8 3
(C)
4
(D)
14 3
(E)
16 3
2. The area of the region enclosed by the graph of y = x 2 +1 and the line y = 5 is 14 (A) 3 (B)
16 3
(C)
28 3
(D)
32 3
(E)
8p
3. If the region enclosed by the y-axis, the line y = 2 , and the curve y = x is revolved about the y-axis, the volume of the solid generated is 32p (A) 5 (B)
16p 3
(C)
16p 5
(D)
8p 3
(E)
p
4. A city located beside a river has a rectangular boundary as shown in the figure. The population density of the city at any point along a strip x miles from the river’s edge is f (x) persons per square mile. Which of the following expressions gives the population of the city? 4
(A)
ò
(B)
7 ò f (x)dx
(C)
28 ò f (x)dx
(D)
ò
(E)
4 ò f (x)dx
0
f (x)dx 4
0
4
0
7
0
f (x)dx 7
0
Multiple Choice: Calculator Required. 5. The base of a solid is a region in the first quadrant bounded by the x-axis, the y-axis, and the line x + 2y = 8 , as shown in the figure. If cross sections of the solid perpendicular to the x-axis are semicircles, what is the volume of the solid? (A) 12.566 (B)
14.661
(C)
16.755
(D)
67.021
(E)
134.041
6. If 0 £ k £ p2 and the area under the curve y = cos x from x = k to x = p2 is 0.1, then k = (A) 1.471 (B)
1.414
(C)
1.277
(D)
1.120
(E)
0.436
7. What is the area of the region in the first quadrant enclosed by the graphs of y = cos x , y = x and the y-axis? (A) 0.127 (B)
0.385
(C)
0.400
(D)
0.600
(E)
0.947
8. The base of a solid S is the region enclosed by the graph of y = ln x , the line x = e, and the x-axis. If the cross sections of S perpendicular to the x-axis are squares, then the volume of S is 1 (A) 2 (B)
2 3
(C)
1
(D)
2
(E)
1 3 (e - 1) 3
Solutions: 1. D, 2. D, 3. A, 4. B, 5. C, 6. D, 7. C, 8. C
Free Response: 2010B#1 Calculator Required.
1. In the figure above, R is the shaded region in the first quadrant bounded by the graph of y 4ln(3 x) , the horizontal line y 6 , and the vertical line x 2 . (a) Find the area of R.
(b) Find the volume of the solid generated when R is revolved around the horizontal line y 8 .
(c) The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Find the volume of the solid.
AP Calculus AB Name: Unit 7 Practice Test Date ...
AP Calculus AB. Name: Unit 7 Practice Test. Date: Multiple Choice: No Calculator. 1. What is the area of the region between the graphs of y = x2 and y = -x from ...
iOXILO 0 j Z 5' vel :0 and velocity. X12. 2. If you punt a football, its position above the ground d(t) meters, is given by d(t) =18t-4.9t2 where tis the time in seconds ...
Page 1 of 12. Page 1 of 12. Page 2 of 12. Page 2 of 12. Page 3 of 12. Page 3 of 12. AP Calculus AB BC.pdf. AP Calculus AB BC.pdf. Open. Extract. Open with.
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When an electron and a neutron are moving through uniform magnatic field with .... in a pond appears closer than its original distance when viewed from top of.
... Cook catch never ââ¬Â¦Thank you for your continued support of Deadspin Grill ... (College Test Preparation) ,ebook reader software Cracking the AP Calculus AB ...... and access to online extras via our AP Connect portalâthis edition includes
