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Monday, February 16, 2015MAT 146. Monday, February 16, 2015MAT 146.

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Presentation on theme: "Monday, February 16, 2015MAT 146. Monday, February 16, 2015MAT 146."— Presentation transcript:

1 Monday, February 16, 2015MAT 146

2 Monday, February 16, 2015MAT 146

3 Monday, February 16, 2015MAT 146

4 Monday, February 16, 2015MAT 146 Improper Algebraic Fractions? Unfactorable Quadratics? Repeated Linear Factors?

5 Monday, February 16, 2015MAT 146

6 Monday, February 16, 2015MAT 146

7 Monday, February 16, 2015MAT 146

8 Monday, February 16, 2015MAT 146

9 Monday, February 16, 2015MAT 146

10 Monday, February 16, 2015MAT 146

11 Monday, February 16, 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.

12 Monday, February 16, 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.

13 Monday, February 16, 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.

14 Monday, February 16, 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:

15 Monday, February 16, 2015MAT 146

16 Monday, February 16, 2015MAT 146

17 Monday, February 16, 2015MAT 146

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