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

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Presentation transcript:

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146

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

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146

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.

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.

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.

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:

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146

Monday, February 16, 2015MAT 146