Without using software, please complete the following question by hand:
Without using software, please complete the following question by hand: (3) Sketch the solid over which...
Q3. Sketch the region of integration for the integral [5(8,19,2) dr dz dy. (2, y, z) do dzdy. Write the five other iterated integrals that are equal to the given iterated integral. Q4. Use cylindrical coordinates and integration (where appropriate) to complete the following prob- lems. You must show the work needed to set up the integral: sketch the regions, give projections, etc. Simply writing out the iterated integrals will result in no credit. frs:52 (a) Sketch the solid given...
please show all work in clean and legible handwriting with all labels and steps that is properly explained for PROBLEMS #1, 2, 3, AND 4. Any incorrect answers and not solving all 4 problems will get an immediate thumbs down because they did not follow directions, thank you 1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
6. (4 pts) Consider the double integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a) Sketch the region of integrationRin Figure 3.(b) By completing the limits and integrand, set up (without evaluating) the integral in polar coordinates. -1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral V2 /2-y² + = (x2 + y) dx dy + + y) do dy. 2-y2 (a) Sketch the region of integration R in Figure 3. (b) By completing the limits and integrand, set up (without evaluating)...
6. (4 pts) Consider the double integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a) Sketch the region of integration R in Figure 3.(b) By completing the limits and integrand, set up (without evaluating) the integral in polar coordinates.∫R(x2+y)dA=∫∫drdθ.7. (5 pts) By completing the limits and integrand, set up (without evaluating) an iterated inte-gral which represents the volume of the ice cream cone bounded by the cone z=√x2+y2andthe hemisphere z=√8−x2−y2using(a) Cartesian coordinates.volume =∫∫∫dz dxdy.(b) polar coordinates.volume =∫∫drdθ. -1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts)...
Write the triple integral over the solid of Q33 in three different ways, using the following orders of integration: dx dz dy, dy dz dx, and dz dx dy, and evaluate them. **Please provide complete solution with detailed explanation and step by step solution. Please don't skip any steps and also provide the figure so that its clear how to use the limits. 33. S: The solid bounded by zy and the planes z 9-x and x -0 33. S:...
Please include steps. 3) Consider the definite integral J rtane)de. Note that this integral cannot be evaluated with integration by substitution or by parts. a) Using appropriate subintervals, compute L4R4, M. and T. Clearly show your work by hand. b) Which of the approximations in a) are underestimates of the true value of the integral and which are overestimates? How do you know? c) Compute S, by hand, showing your work. 3) Consider the definite integral J rtane)de. Note that...
please solve by hand without using any software The quality engineer of a multinational company involved in manufacturing synthetic rubber wants to examine the hardness of the rubber. In the rubber industry, hardness is measured in degrees Shore. A random sample of 50 pieces of rubber was evaluated, with the following results 62.4 66.0 67.6 63.2 663 61.8 618 67.5 61.3 65.0 64.6 613 64.7 63.5 66.4 60.0 658 64.3 62.3 61.4 63.6 69.5 64.9 62.2 67.7 67.7 66.6 64.5...
Find the volume of the given solid region in the first octant bounded by the plane 2x + 2y + 4z4 and the coordinate planes, using triple integrals 0.0(020 Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx. dz dy dx Use a triple integral to find the volume of the solid bounded by the surfaces z-2e and z 2 over the rectangle (x.y): 0 sxs1,...
please answer 5 and 6 5.) (8 pts.) Sketch the solid R in 3D-Space whose volume is given by the following double integral. (8 - 41 -2y) dy dz Jo Jo 6.) (10 pts.) Consider region R in 2D-Space, which is bounded by the y-axis and the right half of the circle given in polar coordinates by s = 4 sin 8. Find the I-coordinate of the Centroid of R (SET UP ONLY) using Rectangular Coordinates.
can you please solve all the questions 4 a) Find fx) dx using the Left-hand Sum. ONote ar is not 2 1 consta) fx) 5.75 9.5 12 14 b) Sketch the rectangles used to evaluste the definite integral in a) 10 Evaluate the definite integral using the Right-hand Sum e) fn The regions A. B, and C in the figure above are bounded by the graph of the function fand the a-axis If the area of each 5. region is...