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

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Presentation transcript:

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

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.

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

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.

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.

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.

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:

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

Thursday, August 27, 2015MAT 146

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

Thursday, August 27, 2015MAT 146