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Wednesday, February 4, 2015MAT 146. Wednesday, February 4, 2015MAT 146.

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Presentation on theme: "Wednesday, February 4, 2015MAT 146. Wednesday, February 4, 2015MAT 146."— Presentation transcript:

1 Wednesday, February 4, 2015MAT 146

2 Wednesday, February 4, 2015MAT 146

3 Wednesday, February 4, 2015MAT 146

4 Wednesday, February 4, 2015MAT 146

5 Wednesday, February 4, 2015MAT 146 Consider the first-quadrant region T bordered by (A)Sketch region T on the xy-plane. (A)Calculate the exact area of T. 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 T is revolved around the x-axis.

6 Wednesday, February 4, 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.

7 Wednesday, February 4, 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.

8 Wednesday, February 4, 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.

9 Wednesday, February 4, 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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