L = 3 PROBLEM 1, Chapter 5 For the current density JEL z sind a, A/m2,...
(1 point) Fill in the blanks: 1. If tan r 3.5 then tan(-z) - I 2. If sin a 0.7 then sin(=x) = 3. If cos r 0.2 then cos(-r)=| 4. If tan r 1.5 then tan(T+ x)=| (1 point) Fill in the blanks: 1. If tan r 3.5 then tan(-z) - I 2. If sin a 0.7 then sin(=x) = 3. If cos r 0.2 then cos(-r)=| 4. If tan r 1.5 then tan(T+ x)=|
This Test: 18 pts possible 5 of 18 (1 comnplete) the foillowing vector field and region. Check for agreement Evaluate both integrals of the Divergence Theorem D= (xy.z): x2 + y2 + 22 s9) F (4x,3y,32); the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice. Set up the volume integral OA !!! dp do d8, where the integrand does not simplity to a constant 0 0 O B. The integral simplifies to...
Hw32-16.7-Surface-Integrals: Problem 1 Problem Value: 1 point(s). Problem Score: 67%. Attempts Remaining: 22 attempts. Help Entering Answers (1 point) Evaluate the surface integral 4xyz ds. Where S is the cone with parametric equations x = u cos(u), y = u sin(u), z = u and 0 <u< 4,0 4xyz ds = [” [“ aunscos()+sin(Sqrt2un2cos^2 I du du Jui Jui where 4 мммм = 3pi/2 Evaluate 4xyz ds = JJ s If you don't get this in 3 tries, you can...
5. Using a surface integral calculation, find the current (in Amps) in a circular wire given a current density of)s 15(1-e-1000r)ez Amps/㎡ . That is, J has a magnitude of 15(1-e-1000r)as it is a function of distance r from the center to the outer surface. J points in the z direction. Draw the wire in a diagram with the cylindrical coordinate system and solve for I using a double integral. Hint- what is the surface area of the end of...
4. Consider using the Simpson's 1/3 rule to estimate the following integral I[cos(x 3)l dx (a) Find the approximate values of 1 when the step size h-: 2 and h 1 , respectively. (b) Find an upper bound of the step size h in order to guarantee that the absolute error (in absolute value) of the estimate is less than 0.001. Hint: 2 sin x cos x = sin (2x). I cos x I " The arguments of all trigonometric...
about the olgin that has Tadius < InetelS. 3.2 The surface charge density throughout the z = 0 plane is ps-1/plc/m2], where p is specified in meters. Find the total charge Q that is contained in a circulai disk of radius 1.0 [m] that is centered about the origin in the same plane. 3.3 The current density in a region is J = xy [A/m2], where x and y are specified in meters. Find the current I flowing towards increasing...
Tutorial Exercise Use the Divergence Theorem to calculate the surface integral ss F. ds; that is, calculate the flux of F across F(x,y,z) 3xy2 i xe7j + z3 k S is the surface of the solid bounded by the cylinder y2 + z2-4 and the planes x4 and x -4. Part 1 of 3 If the surface S has positive orientation and bounds the simple solid E, then the Divergence Theorem tells us that div F dV. For F(x, y,...
331 Assignment 9: Problem 3 Previous Problem Problem List Next Problem (1 point) Evaluate the surface integral y ds where S JJS is the surface defined parametrically by: r(u, v) = 2u cos(v)i + 2uj + 2u sin(v)k and 0 <u<1,0 <0 < 27. | | 24ds = Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 0%. You have 1 attempt remaining.
21 Problem 20. Let S be the surface bounded by the graph of f(x,y)-2+y2 . the plane z 5; Os1; and .0sys1. In addition, let F be the vector field defined by F(x, y,z):i+ k. (1) By converting the resulting triple integral into cylindrical coordinates, find the exact value of the flux integral F.n do, assuming that S is oriented in the positive z-direction. (Recall that since the surface is oriented upwardly, you should use the vector -fx, -fy, 1)...
please fill in all the blanks пл. P (1 point) Note: The formulas for the Fourier transform are often given in the form = L f(z)cos ( dz, with the outside the integral. Computing these integrals will often involve u- substitutions, integration by parts, and other integration techniques that will produce all kinds of constants. With the way these problems are asked in WeWork, it would be hard to keep track of when constants should be factored out or not,...