I lost in this I need help please thank you
I lost in this I need help please thank you 1)[2] True/False: In order to use...
I lost in this I need help please thank you 2)[2] True/False: The work done by any vector field around a closed path is zero.
I lost in this I need help please thank you 6) [8] с Use Green's Theorem to rewrite the integral [F.dr for the given vector field over the path C. F(x,y)=(x? In y, log; y+x’ tan-' x) and C is the boundary of the region D, bounded by the parabola x = y² and the line y=x-2. Assume positive orientation. SET UP the integral using Green's Theorem and include all bounds and variables of integration but DO NOT evaluate the...
I lost in this I need help please thank you (NO NEED MORE INFORMATION BECAUSE IT IS A HW QUESTION This is how they ask) + 9) [26] Given F(x, y)= (4x’e' + 3x?y?)i + (x*e” + 2x’y+y’e”); , (state any theorems you use!) [4;8;6;4;4] (a) show that F is a conservative vector field. (b) find a potential function f for F. (c) evaluate ( F.di where C is the line segment from (3,1) to (4,2). (d) if the curve...
I lost in this I need help please thank you 10) [12;8] Let F =(x² - y, x) and C is the boundary of the closed region that is the bounded by the y-axis and the left half of the circle x² + y2 = 4. Assume counterclockwise orientation. (a) Find the work done by this force field on a particle that moves along C, without using Green's Theorem (that is, do it as line integrals: be careful with how...
I lost in this I need help please thank you + 14) [12] Find the flux of the vector field F across the enclosed surface S. Sketch the surface. F = yi +3x j +4zk, and S is the boundary of the solid region enclosed by z=9-x² - y2 and the plane z=2. (note that this includes two surfaces). Assume outward orientation. Do not use the Divergence Theorem. Evaluate completely. Bonus 4 points Use the Divergence Theorem to solve the...
I lost in this I need help please thank you 3)[4] Given f (x,y)= x’y–3x and C is the curve given by y = xº from x =1 to x = 3, then (enter a number). Do not actually do any integration. [vf.dr = с What theorem did you use?
I lost in this I need help please thank you 13) [6;10] Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z = 3x² +3y2 and z=3. Sketch a representative drawing. Assume C has counterclockwise orientation when viewed from above. (a) SET UP the line integral (F. dr as a line integral with a parameter t. Your final integral should be a с single integral in terms of t only, including the bounds of integration....
I need help with this please. Really lost. Thank you 2. Determine the Magnetic Field at point P in the figure below produced by a long wire carrying 5.00A. 30.0cm
Q4 please and thank you (3) You are given that the vector field f in Q2 is conservative. Find the corresponding potential function and use this to check the line integral evaluated in Q2. (4) Consider the vector field F(x, y) -ryi - 2j (-Fii F2j) and let C be the closed curve consisting of three segments: the straight line from (0, 0) to (1,0) followed by the circular arc from (1,0) to (0,1) followed by the straight line from...
please answer all 3 questions, I need help. thank you Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $(9x+ ex) dy- (4y + sinh x) dx, where C is the boundary of the square with vertices (2, 0), (5, 0), (5, 3), and (2, 3). $(9x+ ey?) ay- (4y+ + sinhx) dx = 0 (Type an exact answer.) Use Green's Theorem to evaluate the following line integral. i dy - g dx, where (19)...