The graph below shows the boundary of the region bounded by the curve y = 4z/ and the lines z 4 and y 3. Answer the following based on the graph given above. a. Set up the integrals in terms of z that gives the following moments of arc length of the red curve (without the straight sides). Moment of arc length about r-axis |dz (exact or 5 sig figs) Moment of arc length about y-axis= dz (exact or 5 sig figs) b. Set up the integrals in terms of y that gives the following moments of arc length of the red curve (without the straight sides). Moment of arc length about z-axis = / dy (exact or 5 sig figs) Moment of arc length about y-axis = / ] dy (exact or 5 sig figs) c. Find the location (z, y) of the centroid of the red curve. Round each coordinate to at least 3 significant figures. Location of centroid =( d. Find the location (z, y) of the centroid of the entire boundary (with the straight sides). Round each coordinate to at least 3 significant figures. Location of centroid = ( %3D

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.