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0/5 points I Previous Answers 2 Use the flow charts for line integrals and surface integrals to help you decide the best way to find the answer to the following problem Let C be the curve of intersec...
МУ Note 6.3 points Use the flow charts for line integrals and surface integrals to help you decide the best way to find the answer to the following problem. Let S be the surface that is the boundary of the baxy2+z s 9 and let A be a twice continuously differentiable vector field. It is known that the flux of the vector field F V x A through the upper hemispherev9-x-y2 with upward orientation is equal to 3. Determine the...
5. 0/12 points I Previous Answers My Use F- 14r to answer the questions below. (a) S, is the part of the surface -8-) above the plane z5 oriented upward Because the surface is a function of x and y, express F in terms of x and y only. Find dA Set up the iterated integral for flux dr de Evaluate the integral Flux through S (b) S2 is the horizontal disk of radius V3 centered at (0, 0, 5)...
i need help with all parts. i will rate. thank you very much. Let C be the closed curve consisting of two pieces. One piece is the upper-half circle of radius 3, centered at the origin, oriented counter-clockwise. The other piece is the horizontal line segment from (-3,0) to (3,0). Evaluate the line integral $ (x2 + y2)dx + (6xy—y?)dy = с (-3,0) (3,0) O 36 O 72 O 31 91/2 The level set of f(x,y) = 12 is a...
Hi! I couldn't solve these questions. Thank you in advance for the help! 1) Let C be the square in the xy - plane bounded by the lines X= 71 g=0 and g=2 oriented counterclock wire when viewed from above, and suppose that Fligie). (x4 g) 1 - 2xy J. of Evaluate the line integral & F de directly, without using the States' Theoren b) Evaluate the line integral & F de using the Stoke' Theorem. 2) Let S be...
1. (2 points) Find F dF if curl(F) 3 in the region defined by the 4 curves and C4 Ci F . d7 where F(x,y,z)-Wi +pz? + Vi> and C consists of the arc of the 2. (2 points) Evaluate curve y = sin(x) from (0,0) to (π, 0) and the line segment from (π,0) to (0,0). 4 3 3. (2 points) Evaluate F di where F.y,(ry, 2:,3) and C is the curve of intersection of 5 and y29. going...
→ (1 point) Let Vf-6xe-r sin(5y) +1 5e* cos(Sy) j. Find the change inf between (0,0) and (1, n/2) in two ways. (a) First, find the change by computing the line integral c Vf di, where C is a curve connecting (0,0) and (1, π/2) The simplest curve is the line segment joining these points. Parameterize it: with 0 t 1, K) = dt Note that this isn't a very pleasant integral to evaluate by hand (though we could easily...