Line Integral Practice Scalar Function Line Integrals with Respect to Arc Length For each example below compute, Z C f(x;y)ds or Z C f(x;y;z)dsas appropriate. Problems: 1. Cis the line segment from (1;3) to (5; 2), compute Z C x yds 2. Cis the line segment from (3;4;0) to (1;4;2), compute Z C z+ y2 ds. 3. Cis the curve from y= x2 from (0;0) to ...
Problem 29. Evaluate the double integral R ydA, where R is the region of the (x, y)-plane inside the triangle with vertices (0, 0), (2, 0) and (2, 1). The mass density at any point of the object is equal to its distance from the xy plane. Set up a triple integral in rectangular coordinates for the total mass m of...