Holiowiny urdoy 3.Uerify tue Stokes eorem fr the Kquee with vestices (0,0,4),13,0,4) and (5,2,4) and 6,24...
17.2 Stokes Theorem: Problem 2 Previous Problem Problem List Next Problem (1 point) Verify Stokes' Theorem for the given vector field and surface, oriented with an upward-pointing normal: F (ell,0,0), the square with vertices (8,0, 4), (8,8,4),(0,8,4), and (0,0,4). ScFids 8(e^(4) -en-4) SIs curl(F). ds 8(e^(4) -e^-4) 17.2 Stokes Theorem: Problem 1 Previous Problem Problem List Next Problem (1 point) Let F =< 2xy, x, y+z > Compute the flux of curl(F) through the surface z = 61 upward-pointing normal....
EX.3: Find a counterexample to the following statement: If {fr} converges uniformly to f on an interval I, f and fr are differentiable on I for all n, then for any x El, we have $'(x) = lim f(x). (Hint: consider fn(x) = sin(nºu).)
3 Problem 3 Use Stokes' Theorem to find the circulation of F(x, y, z) = 6yi + 4xj + z?k counter- clockwise around the ellipse 4.x2 + 25y2 = 1. Hint: I am allowing you to take for granted that the area inside this ellipse is to so put that to use in turning this problem into a double integral of the k-component of the curl over the region inside the ellipse.
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3 questions. Please Help!! I will rate!
2. (4 points) Verify Stokes Theorem for F =(-y.z,-2 ) and the surface S the cone 2 = r2 +with 0SS4 oriented downward (a) (3 points) fS curl F. dS 2.7 <Sinl), ,-2-cse),-le,0 dt (b) (3 points) fc F. dr
2. (4 points) Verify Stokes Theorem for F =(-y.z,-2 ) and the surface S the cone 2 = r2 +with 0SS4 oriented downward (a) (3 points) fS curl F. dS 2.7
4. Consider the vector field A - (x - 322)i [3 sin(xyz)]j - 3ry2 k. Use Stokes' theorem to calculate where S is the surface of the cone z 1-VT2 + y2 above the TU plane.
4. Consider the vector field A - (x - 322)i [3 sin(xyz)]j - 3ry2 k. Use Stokes' theorem to calculate where S is the surface of the cone z 1-VT2 + y2 above the TU plane.
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Question 3 (10 marks) Use Stokes' theorem to evaluate ff(VxG)•dS where G = 2x² yi + 3xy?j + xyzk and S is the hemisphere x2 + y2 + z2 = 4 with z 20.
3. Using Stokes theorem evaluate fa.dr. where A = (x² + y - 4)i + 3ryj + (2x2 + 2?)k and C is the curve bounding the surface S given by (a) the hemisphere IP + y2 + z2 = 16 above the ry plane (b) the paraboloid z = 4 - (z? + y²) above the ry plane.
:45 PM Tue Sep 3 Chapter 013_converted Question 3 Which anemia will cause the RBCs to be hypochromic and microcytic and can cause pica? Iron deficiency Pernicious Acute blood loss Polycythemia vera
2) A random variable X has the density function: fr(x) =[u(x-1)-u(x-3)]. Define event B (Xs 2.5) (a) Find the cumulative distribution function, Fy (x). (b) Find the conditional distribution Fx (x|B). the mean E[X], and variance of X Fx(xB)= E[X)= Variance (e) Sketch both Fy(x) and Fx (x|B) on the same plot. Show all important values. (d) Let the output of random variable X above be applied to a square-law device according to Y 5X2. Find the mean value of...