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Thursday, February 18, 2016MAT 146. Thursday, February 18, 2016MAT 146.

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Presentation on theme: "Thursday, February 18, 2016MAT 146. Thursday, February 18, 2016MAT 146."— Presentation transcript:

1 Thursday, February 18, 2016MAT 146

2 Thursday, February 18, 2016MAT 146

3 Thursday, February 18, 2016MAT 146

4 Thursday, February 18, 2016MAT 146

5 Thursday, February 18, 2016MAT 146

6 Thursday, February 18, 2016MAT 146

7 Thursday, February 18, 2016MAT 146

8 Thursday, February 18, 2016MAT 146

9 Thursday, February 18, 2016MAT 146

10 Thursday, February 18, 2016MAT 146

11 Thursday, February 18, 2016MAT 146

12 Thursday, February 18, 2016MAT 146

13 Thursday, February 18, 2016MAT 146

14 Thursday, February 18, 2016MAT 146

15 Thursday, February 18, 2016MAT 146

16 Thursday, February 18, 2016MAT 146

17 Thursday, February 18, 2016MAT 146

18 Thursday, February 18, 2016MAT 146

19 Thursday, February 18, 2016MAT 146

20 Thursday, February 18, 2016MAT 146

21 Thursday, February 18, 2016MAT 146

22 Thursday, February 18, 2016MAT 146

23 Thursday, February 18, 2016MAT 146

24 Thursday, February 18, 2016MAT 146

25 Thursday, February 18, 2016MAT 146 Consider the first-quadrant region R with borders y = sin(x)y = 0andx = π / 2 (A)Sketch region R on the xy-plane. (A)Calculate the exact area of R. Show evidence to support your solution. (B)Set up, but do not calculate, a definite integral to represent the volume of the solid created when R is revolved around the y-axis.

26 Thursday, February 18, 2016MAT 146 Consider the first-quadrant region R with borders y = sin(x)y = 0andx = π / 2 (A)Sketch region R on the xy-plane.

27 Thursday, February 18, 2016MAT 146 Consider the first-quadrant region R with borders y = sin(x)y = 0andx = π / 2 B.Calculate the exact area of R. Show evidence to support your solution.

28 Thursday, February 18, 2016MAT 146 Consider the first-quadrant region R with borders y = sin(x)y = 0andx = π / 2 C.Set up, but do not calculate, a definite integral to represent the volume of the solid created when R is revolved around the y-axis. Shells: Washers:

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