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Thursday, August 27, 2015MAT 146. Thursday, August 27, 2015MAT 146.

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Presentation on theme: "Thursday, August 27, 2015MAT 146. Thursday, August 27, 2015MAT 146."— Presentation transcript:

1 Thursday, August 27, 2015MAT 146

2 Thursday, August 27, 2015MAT 146

3 Thursday, August 27, 2015MAT 146

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11 Thursday, August 27, 2015MAT 146 Region R in the first quadrant of the xy-plane is bordered by the x-axis, the line x = 4, and the curve y = √x. (A)Determine the volume of the solid or revolution generated when R is rotated about the line y = 2. (A)Determine the volume of the solid or revolution generated when R is rotated about the line x = −1.

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14 Thursday, August 27, 2015MAT 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.

15 Thursday, August 27, 2015MAT 146 Consider the first-quadrant region R with borders y = sin(x)y = 0andx = π / 2 (A)Sketch region R on the xy-plane.

16 Thursday, August 27, 2015MAT 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.

17 Thursday, August 27, 2015MAT 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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21 Thursday, August 27, 2015 MAT 146 You Choosing U: A Decision Algorithm

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