I will rate your answer so please make sure the answer is accurate. The following question is a Calculus 3 problem, please answer 2) in the picture shown below, please show all the steps (step by step) and write out nicely and clearly:
I will rate your answer so please make sure the answer is accurate. The following question is a Calculus 3 problem, please answer 2) in the picture shown below, please show all the steps (step by step...
Answer all 3 and I will positively rate your answer 1. F(x, y, z) = (x,y2, z3), S is a surface bounded by the cylinder x2 + y2 = 4,2 = 0 and z = 1. Evaluate the outward flux Sf. Nds using the Divergence Theorem. S 2. F(x, y, z) = (2x3, 2y3, 3z2), S is a surface bounded by the cylinder x2 + y2 = 4, z = 0 and z = 1. Evaluate the outward flux Sf....
Please show all steps, even the steps that seem like common sense. 0/3 POINTS PREVIOUS ANSWERS SCALCET8 16.7.031. 7/20 Submissions Used Evaluate the surface integral // F.ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. Is F(x, y, z) = x2 i + y2 j + z2k S is the boundary of the solid half-cylinder o SzSV 9-y2,0 SX...
calculus 3. Answer all of the following, I will rate your work if you do so. Evaluate the double integral || xy2da, where Ris the region in the first quadrant enclosed by the circle x2 + y2 = 4 and the lines x = 0 and y = x. Evaluate the iterated integral. 1 ya x-y xy dz dx dy xy dz dx dy 0 V The figure below shows the solid region Ein the first octant bounded by the...
Questions. Please show all work. 1. Consider the vector field F(x, y, z) (-y, x-z, 3x + z)and the surface S, which is the part of the sphere x2 + y2 + z2 = 25 above the plane z = 3. Let C be the boundary of S with counterclockwise orientation when looking down from the z-axis. Verify Stokes' Theorem as follows. (a) (i) Sketch the surface S and the curve C. Indicate the orientation of C (ii) Use the...
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...