Integrate the given function over the given surface. G(x,y,z) = x over the parabolic cylinder y...
evaluate JJ. (< –Y) A. ) Integrate f(x, y, z) = x2 + y2 + 22 over the cylinder x2 + y2 < 2,-2 <2<3 (IL dx dy dz Feraluate
2. (20 marks) (a) Calculate the surface area of the graph of f(x,y) = x + 20y over the region R= {(x,y) e R2:1 < x < 4,2 sy s 2x} in the xy-plane. OV (b) Integrate the function g(x, y, z) = x +y +z over the surface that is described as follows: x = 2u – v, y = v + 2u, z= v – u Here u € [0,20), v € [0,21].
#1: Use a change of variables to integrate f (x, y) = y - x over the region described by: –3 <y – 2x < 0 and 0 < 2y – x < 3.
Integrate Sc(x) di where C is the graph of y =lnx for 152<2.
Question 1 1 pts Let F= (2,0, y) and let S be the oriented surface parameterized by G(u, v) = (u? – v, u, v2) for 0 <u < 12, -1 <u< 4. Calculate | [F. ds. (enter an integer) Question 2 1 pts Calculate (F.ds for the oriented surface F=(y,z,«), plane 6x – 7y+z=1,0 < x <1,0 Sysi, with an upward pointing normal. (enter an integer) Question 3 1 pts Calc F. ds for the oriented surface F =...
With double integral find surface area when y=e", y = x, y = 4 and axis y with y <et
Integrate the function. - dx, x<2 De 10, x2 om (2nd OB. a 1703 12 +0 oc. (4-2) ?. Oo. (1-2) 112* 12y3 3 / 2 + ) 1/2
QUESTION 12 6 points Integrate the function Fi,y) + over the rectangle 0<x<1.0 Sy<1. OA. (1 + ج - قم -5 CB. (1- د - أم - CC, (1+نم - ام - کی O D. 1 (1- م ام که E. | شی ب ام و
(7 pts.) Let f(x, y, z) = "y and let R be the region {(x, y, z) |2 < x < 4,0 Sy < 3,15 zse}. 2 Evaluate | $180,0,.2) av. R
(1 point) y2 and below the paraboloid 8xz over the region in the first octant(x, y, z 0) above the parabolic cylinder z Integrate f(x, y, z) Answer:
(1 point) y2 and below the paraboloid 8xz over the region in the first octant(x, y, z 0) above the parabolic cylinder z Integrate f(x, y, z) Answer:
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Stephania Nava Sun, Dec 5, 2021 10:25 AM