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Calc 3 13.2

<== Calculus 3
 Number Question Answer See the work 1. Evaluate the line integral , where C is the line segment from (0,4,7) to (2,8,6). 150.134 The work 2. Evaluate the line integral , where C is the right half of the circle . 31250 The work 3. Compute the total mass of a wire bent in a quarter circle with parametric equations: x = 5cos(t), y = 5sin(t), 0 &le t &le &pi/2 and density function . 196.35 The work 4. Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-1, -4) and the second going from (-1, -4) to (-2, 0). Compute the line integral . -8 The work 5. Let F be the radial force field F = xi + yj. Find the work done by this force along the following two curves, both which go from (0, 0) to (4, 16). A. If is the parabola: , then B. If is the straight line segment: , then A) 136 B) 136 The work 6. Evaluate the line integral , where F(x, y, z) = 4xi - 5yj - zk and C is given by the vector function r(t) = &lang sin(t), cos(t), t &rang, 0 &le t &le 3&pi/2. -6.6033 The work 7. Evaluate the line integral , where F(x, y, z) = (5sinx)i - (4cosy)j + xzk and C is given by the vector function , 0 &le t &le 1. 5.864 The work 8. Find the work done by the force field F(x, y, z) = 1xi + 1yj + 7k on a particle that moves along the helix . 219.91 The work 9. question Answer The work 10. question Answer The work