I do NOT need part a. I really need help on b,c,d,and e though! Thank you
I do NOT need part a. I really need help on b,c,d,and e though! Thank you
please be clear as possible. thanks 2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) e dr where C is the are of the curve r y' from (-1,-1) to (1, 1): (b) dr dy where C conusists of the arc of the circle 2+ 4 from (2.0) to (0.2) followed by the line segment from (0.2) to (4,3) (c) y': ds where C is the line segment from (3,...
please respond with explanations for each step. thank you Problem 4 Evaluate the line integrals (a) (10 points) y da 2ax dy, where C is the curve r(t) (2t + 1) i+ 3t2 j, 0t 1. (b) (10 points) (ryz) ds, where C is the line segment from the point (2, 1,0) to the point (4,3,6) (c) (10 points) F.dr,where F is the vector field F(x, y) = yi - rj and C is the curve given by r(t) t2i+...
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).
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (1, 0, 0) to (1,0, 0), then to (-1,3, 0). Curve C1 is only half of the circle2 Curve C2 is a straight-line segment. The parametric equation for G is G: r! (t)-cos t î + sin t k, 0 π Find the line integral: Jcf(x. y,z)ds - (25 points) C2 (-1,3,0) Question 2 (30 points) Integrate...
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...
Question 2 0.3 pts If the curve C is the top semicircle x2 + y2 = 4 from (2,0) to (-2,0), evaluate the line integral / (x + y) ds. (enter an integer or a fraction) Question 3 0.3 pts Calculate the work done by the force field F = (x, -y, z) along the path r(t) = (cost, sint, 2t), osts T TT 4 2 1 0 0 0 0 2 72 1 4 O 72 4
please help me answer all 4, I need help. thank you Athin wire represented by the smooth curve C with a density (units of mass per longth) has a mass M ds. Find the mass of the wire c {xyxy=4x?, Os 55) with density px.y)-6+3xy. The mass of the wro is about (Round to one decimal place as needed.) Given the force field F, find the work required to move an object on the given oriented curve. F = (y....
I need help with this. Thank you for your time. MTH705 Problems 4.... 4.3 Evaluate the line integral, ds where C is given by: x = t3, y = t4, 13ts 2 4.4 Evaluate the line integral, x?dx+y?dy where C is the line segment from (0,1) to (5,4) ype here to search O
5. Compute the line integral ſc fds, where a) C is the line segment from (3,4,0) to (1,4, 2) and f(x, y, z) = x + y2. b) C is the curve y = x2 from (0,0) to (3,9) and f(x,y) = 3x. c) C is the upper half of the circle of radius 2 from (2,0) to (-2,0) and f(x,y) = y.
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...