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please answer questions 1,2,3 and 4d. Gen Ed Assessment for MATH 2414 Calculus IlI: Let R be the region in the first...
Gen Ed Assessment for MATH 2414 Calculus II
Gen Ed Assessment for MATH 2414 Calculus II Important Submission Instructions to the Student:1. All explanations must be typed. The supporting math work must be neat and suitable for copying or scanning. The final document should be saved and submitted as a single.pdf file.2. Give the assignment the heading GEN ED ASSESSMENT: MATH 2414.3. Do not include your name in the assignment or in the file name.4. Submit your assignment to your instructor via Blackboard by the deadline established by your...
2/6 2" (10%) (a) Sketch the graphs of the two functions y=z(4-z) and y=z and mark the finite region (R) enclosed between them. (Identify (R) carefully!) (b) Let W be the volume of the solid o...
2/6 2" (10%) (a) Sketch the graphs of the two functions y=z(4-z) and y=z and mark the finite region (R) enclosed between them. (Identify (R) carefully!) (b) Let W be the volume of the solid of revolution obtained by revolving the above region (R) around the y-axis. (i) Use the shell method to write down the integral for W. (No need to evaluate the integral.) (ii) Repeat part(i) by using the disk method.
2/6 2" (10%) (a) Sketch the graphs...
need it asap please 18) 8. The region is bounded by y = 2 - r-...
need it asap please
18) 8. The region is bounded by y = 2 - r- and y = r. (a) (2 marks) Sketch the region. (b) (6 marks) Find the area of the region. (c) (5 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line r = -3. (d) (5 marks) Use the disk or washer method to...
Please solve all of these questions and do not skip any one of them. Also label...
Please solve all of these questions and do not skip any one of
them. Also label them by 2, 3, 4a and 4b in this order.
Sketch the region and find the area of the triangle with the given vertices. . (0,0), (1,8), (4,3) Let R be the region in the first quadrant bounded by the graphs of x=y and x = 4y. Which is greater, the volume of the solid generated when Ris revolved about the x-axis or the...
3. Consider the region R, bounded by the function f(x) and the x and y values...
3. Consider the region R, bounded by the function f(x) and the x and y values shown. Write down an integral for the volume of the solid obtained by revolving R about the given line. Indicate what method you use in each case. 3 f(x) 2 R (Disk, Washer, or Shell) 1 You do not need to simplify but be sure to include the proper bounds on your integrals. a) The y-axis. Method: b) The line y =1. Method: c)...
Problem 3 6 pts] The region R bounded by y V, y 0, and 4 is revolved about the line y3 Calculate the volume of the...
Problem 3 6 pts] The region R bounded by y V, y 0, and 4 is revolved about the line y3 Calculate the volume of the solid using the washer method and simplify your final answer. -3 Problem 4: 8 pts] The region R is boud by y2 and y 8- 2 I. Set up, but do not evaluate, an integral or sum of integrals that would give the volume of the solid of revolution formed when R is revolved...
Problem 1 part II and Problem 2 part I and II Problem 1: (Short Answer) 6 pts] The region R is bounded by y 0, 0,...
Problem 1 part II and Problem 2 part I and II
Problem 1: (Short Answer) 6 pts] The region R is bounded by y 0, 0, 2, and y- 2 4 1, 3 pts] If R is revolved about the line x = 5. If an integral or sunn of integrals with respect to z is used to calculate the volume, explain whether the washer or shell method should be used II. 3 pts) Suppose that R is the base...
1 Let R be a region bounded between two curves on the r, y-plane. Suppose that you are asked to find the volume of the...
1 Let R be a region bounded between two curves on the r, y-plane. Suppose that you are asked to find the volume of the solid obtained by revolving the region R about the r-axis If you slice the region R into thin horizontal slices, i.e., parallel to the r-axis, in setting up the Riemann sum, then which method will come into play? A. Disc method B. Washer method C. Either disc or a washer method depending on the shape...
0. Using Let R be a region bounded by y = x?, y = 16 and...
0. Using Let R be a region bounded by y = x?, y = 16 and x = SHELL METHOD, set up an integral to find the volume of the solid generated by revolving R around the line x 8. YOU DON'T NEED TO SOLVE THE INTEGRAL.
Please Explain Step by step... Let R be the region bounded by the following curves. Use...
Please Explain Step by step...
Let R be the region bounded by the following curves. Use the disk method to find the volume of the solid generated when R is revolved about the x-axis. O y=cos 13x, y=0, x=0 Jy = cos 13x o Recall that cos?x= 3^1 + cos 2x). aglia Set up the integral that gives the volume of the solid using the disk method. Use increasing limits of integration. Select the correct choice below and fill in...
2/6 2" (10%) (a) Sketch the graphs of the two functions y=z(4-z) and y=z and mark the finite region (R) enclosed between them. (Identify (R) carefully!) (b) Let W be the volume of the solid of revolution obtained by revolving the above region (R) around the y-axis. (i) Use the shell method to write down the integral for W. (No need to evaluate the integral.) (ii) Repeat part(i) by using the disk method.
2/6 2" (10%) (a) Sketch the graphs...
need it asap please
18) 8. The region is bounded by y = 2 - r- and y = r. (a) (2 marks) Sketch the region. (b) (6 marks) Find the area of the region. (c) (5 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line r = -3. (d) (5 marks) Use the disk or washer method to...
Please solve all of these questions and do not skip any one of
them. Also label them by 2, 3, 4a and 4b in this order.
Sketch the region and find the area of the triangle with the given vertices. . (0,0), (1,8), (4,3) Let R be the region in the first quadrant bounded by the graphs of x=y and x = 4y. Which is greater, the volume of the solid generated when Ris revolved about the x-axis or the...
3. Consider the region R, bounded by the function f(x) and the x and y values shown. Write down an integral for the volume of the solid obtained by revolving R about the given line. Indicate what method you use in each case. 3 f(x) 2 R (Disk, Washer, or Shell) 1 You do not need to simplify but be sure to include the proper bounds on your integrals. a) The y-axis. Method: b) The line y =1. Method: c)...
Problem 3 6 pts] The region R bounded by y V, y 0, and 4 is revolved about the line y3 Calculate the volume of the solid using the washer method and simplify your final answer. -3 Problem 4: 8 pts] The region R is boud by y2 and y 8- 2 I. Set up, but do not evaluate, an integral or sum of integrals that would give the volume of the solid of revolution formed when R is revolved...
Problem 1 part II and Problem 2 part I and II
Problem 1: (Short Answer) 6 pts] The region R is bounded by y 0, 0, 2, and y- 2 4 1, 3 pts] If R is revolved about the line x = 5. If an integral or sunn of integrals with respect to z is used to calculate the volume, explain whether the washer or shell method should be used II. 3 pts) Suppose that R is the base...
1 Let R be a region bounded between two curves on the r, y-plane. Suppose that you are asked to find the volume of the solid obtained by revolving the region R about the r-axis If you slice the region R into thin horizontal slices, i.e., parallel to the r-axis, in setting up the Riemann sum, then which method will come into play? A. Disc method B. Washer method C. Either disc or a washer method depending on the shape...
0. Using Let R be a region bounded by y = x?, y = 16 and x = SHELL METHOD, set up an integral to find the volume of the solid generated by revolving R around the line x 8. YOU DON'T NEED TO SOLVE THE INTEGRAL.
Please Explain Step by step...
Let R be the region bounded by the following curves. Use the disk method to find the volume of the solid generated when R is revolved about the x-axis. O y=cos 13x, y=0, x=0 Jy = cos 13x o Recall that cos?x= 3^1 + cos 2x). aglia Set up the integral that gives the volume of the solid using the disk method. Use increasing limits of integration. Select the correct choice below and fill in...
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