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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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

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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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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.

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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.

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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.

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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:

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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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Monday, February 16, 2015MAT 146

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Volume. Find the volume of the solid formed by revolving the region bounded by the graphs y = x 3 + x + 1, y = 1, and x = 1 about the line x = 2.

Volume. Find the volume of the solid formed by revolving the region bounded by the graphs y = x 3 + x + 1, y = 1, and x = 1 about the line x = 2.

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