(5,3,-2) Evaluate the integral y dx + x dy + 4 dz by finding parametric equations...
(4,9,-5) Evaluate the integral | ydx+x dy +7 dz by finding parametric equations for the line segment from (3,2,2) to (4,9. – 5) and evaluating the line integral of F=yi + xj + 7k along the segment. Since F is conservative, the integral is independent of the path. (3.2.2) (4.9.-5) | ydx + x dy+7 dz=0 (3.2.2)
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3) 5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
The figure shows the region of integration for the integral. fx, y, z dy dz dx 0 Jo Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume yx) 6x and z(x)-36-) x. f(x, y, 2) dy dx dz x, , z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz fx, y, z) dx dy dz J0 Jo Jo f(x, y, z) dz dx dy 0 0 f(x, y,...
Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of the circle x2 + y2 = 4 from (2,0) to (0,2) followed by the line segment from (0, 2) to (4,3).
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
f(x, y, z) dz dy da as an iterated integral in the 4. (6 points) Rewrite the integral order dx dy dz.
4. Rewrite the following triple integral so that the order of integration is dy dx dz. Do not evaluate it. (3x + y) dz dy dit
Do not evaluate, rewrite the integral using spherical coordinates 25-x² - y2 1 dz dx dy 05 NUS y=0 X-O Z=o
Consider the line integral Sc xy dx + (x - y) dy where is the line segment from (4, 3) to (3,0). Find an appropriate parameterization for the curve and use it to write the integral in terms of your parameter. Do not evaluate the integral.