Installations are major capital investments in the B2B marke…
Questions
Instаllаtiоns аre majоr capital investments in the B2B markets and they are оften designed specifically for the purchasers.
(20 pоints) Pаrts (а) аnd (b) are distinct frоm each оther. (a) Use Stokes' Theorem to evaluate (displaystyle iint_S text{curl} vec{G} cdot dvec{S}), where (vec{G}(x,y,z)= langle yz, xy, xz rangle) and (S) is the part of the sphere (x^2+y^2+z^2=4) with (x geq 0) oriented in the direction of the positive x-axis that lies inside the cylinder (y^2+z^2=1). (b) Consider the solid region E bounded below by the cone (z=sqrt{x^2+y^2}) and above by the paraboloid (z=2-(x^2+y^2)). Use the Divergence Theorem and cylindrical coordinates to evaluate (displaystyle iint_S vec{F} cdot dvec{S}), where (vec{F} (x,y,z)= (5xsin^2(z)+arctan(y))vec{i}+(5ycos^2(z)-ln(1+x^2))vec{j}+(7z-e^{x-y})vec{k}), and S is the boundary of the region E. PLEASE READ THE INSTRUCTIONS BELOW CAREFULLY: When you have completed your entire exam and hit “submit” on Canvas, chat the proctor to let them know and they will give you permission to get your phone and scan your written work for questions 6, 7 and 8 (only) to upload to Gradescope. You MUST get permission from the proctor BEFORE picking up your phone to start scanning. Once you’re done scanning and uploading, let the proctor know you are done. Do not close the current Zoom session until you have submitted your solutions to Gradescope and checked with the proctor that it is ok to leave the proctoring session. Submitting any solutions to Canvas or Gradescope after the Zoom proctoring session has ended constitutes a violation of the UMass Academic Honesty policy and will be dealt with accordingly.