Problem 2. (60 points) For the vectoi evaluate both sides of the divergence theorem for the region enclosed between...
Electromagnetics HW help!!
Quick Response please! (within 45 min)
For the vector field ? =
1
??2 , evaluate both sides of the divergence theorem
for the region enclosed between the spherical shells defined by R =
1 and R = 4.
(a) Setup equations (30 points)
(b) Show work (20 points)
(c) Final answer (10 points)
10. [8 points] Use Green's Theorem to evaluate the line integral Sexy dx + (x2 + y) dy, where the closed curve C determined by y=x2 and y - =2 between (-1,1) and (2, 4). Sketch the curve and the region enclosed by the curve.
Consider the following region R and vector field a. Evaluate both integrals in Green's Theorem - Circulation Form and check for consistency. b. Is the vector field conservative? 7) (16 points) F = 〈x4, xy〉, R is the triangular region with vertices (0,0), (1,0) and (0,1).
Consider the following region R and vector field a. Evaluate both integrals in Green's Theorem - Circulation Form and check for consistency. b. Is the vector field conservative? 7) (16 points) F = 〈x4,...
Problem 5 [10 points] Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R: A R region bounded by y 0, y x, x 4 R 1+x2 a) [2 points] First order b) [2 points] Second order c) [6 points] Evaluate the integral using the more convenient order
Problem 5 [10 points] Set up integrals for both orders of integration. Use the more convenient order to evaluate the...
eaBetweenCurves: Problem 2 evious Problem ListNext point) Find the area of the region enclosed between y 3 sin(r) and y 2 int: Notice that this region consists of two parts. cos Preview My Answers Submit Answers u have attempted this problem 4 times. our overall recorded score is 0%. ou have unlimited attempts remaining. Email instructor Page generated at 03/30/2019 at 09 57am EDr WeßWork O 1996-2016 / theme: hope / ww version: 2.12/pg version 2.121 The WeBWorK
eaBetweenCurves: Problem...
Problem 4 (20 points) Consider the flow net shown below: The sides of the region are groundwater divides; the top boundary is the water table; and the bottom is an impermeable boundary. A) Label the equipotential with the appropriate value of hydraulic head (m); B) Draw arrows on the streamlines indicating the direction of groundwater flow; C) Label all recharge and discharge areas; D) Indicate at least one area within the flow net where flow is relatively fast, and one...
Q5. (10+10+5=25 points) a) Use Green's Theorem to evaluate the line integral $. 3x2ydx - 3xy’dy along the negatively oriented curve C which is the boundary of the region enclosed by upper half of the circle x2 + y2 = 4 and x-axis. b) Evaluate Sc, 3x” ydx – 3xy?dy where C1 is only upper half of the circle x2 + y2 = 4. c) If P = 0, Q = x in part (a), find $ xdy without taking...
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch the region. 5x2-2. f(x)--3x2 + 30 and g(x) marks) c) Evaluate the following integrals. Give your answers to 2 decimal places. dac i) 2 (3+2 dx. (8 marks) [25 marks]
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch...
cannot figure out how to write the integrals for this
problem #2
1. If glx) -2x and fx) - , find the area of the region enclosed by the two graphs. Show a work for full credit. (4 pts) 2. A:12-80% 3 3 2 Let fix)-. Let R be the region in the first quadrant bounded by the gruph of y - f(x) and the vertical line x # l, as shown in the figure above. (a) Write but do...
2/6 2" (10%) (a) Sketch the graphs of the two functions y=z(4-z) and y=z and mark the finite region (R) enclosed between them. (Identify (R) carefully!) (b) Let W be the volume of the solid of revolution obtained by revolving the above region (R) around the y-axis. (i) Use the shell method to write down the integral for W. (No need to evaluate the integral.) (ii) Repeat part(i) by using the disk method.
2/6 2" (10%) (a) Sketch the graphs...