Find the value of the line integral. F. dr (Hint: If F is conservative, the integration...
2 -2 points LarsonET5 15.3.014. Find the value of the line integral Foor (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y) = 2xy_1 + 7xyj (a) r(t) = 1 + 1, ists3 (b) r2(t) = (t + 1)2 - 4 - 3), o stsz Need Help? Readle Talk to a Tutor Submit Answer Practice Another Version
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6. [0/7.69 Points] DETAILS PREVIOUS ANSWERS LARCALC11 15.3.506.XP.MI. Find the value of the line integral Ter F. dr (Hint: If F is conservative, the integration may be easier on an alternative path.) / (x² + y2) ox x2 + y2) dx + 2xy dy (a) r(t) = t'i + t?j, Osis 2 84/3 X (b) r2(t) = 3 cos(t)i + 2 sin(t)j, Osts I 2 37.483 х Need Help? Read It Master It Talk to a Tutor Submit Answer
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explain each step! Thanks i will rate!
5. Find the value of the line integral ((2xz)dx+(2yz– y?)dy+(x² + y2 + 2z)dz where C is the line from (0,0,0) to (-4,-5,6) (Hint: it is conservative)
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....
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
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)
+ -/15 points scacats 15.6.033. The figure shows the region of integration for the integral. ["lib.*rex, y, z) oz oy ok f(x, , z) dz dy dx Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = x and z(y) = 9 - y.) ;Y, 2) dz dx dy Y, 2) dx dy dz R(x, y, z) dx dz dy f(x, y, z) dy dx dz F(x, y, z) dy dz dx
(5,3,-2) Evaluate the integral y dx + x dy + 4 dz by finding parametric equations for the line segment from (2,1,5) to (5,3,-2) and evaluating the line integral of (2,1,5) F = yi + x3 + 4k along the segment. Since F is conservative, the integral is independent of the path. (5,3,-2) y dx + x dy + 4 dz= (2,1,5)
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
Reverse the order of integration in the following integral. 6 24 - 4x s s f(x,y) dy dx y = 24 - 4x 0 0 X Reverse the order of integration. f(x,y) dx