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

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Presentation transcript:

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

Thursday, February 18, 2016MAT 146

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.

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.

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.

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: