'5' 100% E} a webwork.elearning.ubc.ca Homework 7: Problem 17 (1 point) Find the exact coordinates of the centroid for the region bounded by the following curves: 4 y=4w, y=, y=0, 1:24. 3: Answers: w: m y: 5!! Note: You can earn partial credit on this problem. Preview My Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email WeBWorK TA '5' 100% E} a webwurk.elearning.ubc.ca Sketch the plane region below and find its centroid: 09335, 0y39sin(%). Answers: :10 = E5! y = 5!! Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email WeBWorK TA UI i webwork.elearning.ubc.ca Homework 7: Problem 14 (1 point) A certain integrable function f defined on the interval [0, 10] has the following properties: 0 the average value off on the interval [0, 7] is 5/7, c the average value of f on the interval [5, 10] is 6 / 5, o the average value of f on the interval [5, 7] is 1. Find the average value of f on the interval [0, 10]. Answer: } = 5: Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email WeBWorK TA e'z- o '9 1 100% C} i webworkeleamingubuca Homework Sets Homework 7 Homework 7: Problem 16 (1 point) User Settings Grades Let D denote the plane region where 2:2 + y2 g 25. Find the centroid of the portion of D lying in the second quadrant. Prob em 1 / Prob em 2 / Prob em 3 / Prob em 4 / Prob em 5 / Prob em 6 / PI'Ob em 7 / Preview My Answers Submit Answers Prob em 8 prob em 9 / You have attempted this problem 0 times. Prob em 10 J You have unlimited attempts remaining. Si M ii! \\ Eli cei || Note: You can earn partial credit on this problem. Prob em 11 Prob em 12 Email WeBWorK TA Prob em 13 Prob em 14 Prob em 15 Problem 16 Prob em 17 Prob em 18 Prob em 19 Prob em 20 Page generated at 03/07/2022 at 11:05am PST WeBWorK 1996-2021i theme: math4 | wwiversion: 2.16 | pgiversion 2.16! The WeBWorK Project l0/ 6 webwork.elearning.ubc.ca Homework 7: Problem 20 (1 point) Sketch and label these three points: 0(0, 0), A(2, 1), and B(2, 0). (3) Find the centroid of the line segment OA. Answers: al N tel II (b) Imagine a thin uniform wire is bent into the shape of a triangle with vertices 0, A, and B. Find the centre of mass of the wire. Answers: al N rel II (c) A metal plate of constant density is cut into the shape of a triangle, with vertices 0, A, and B. Find the centre of mass of the plate. Answers: al N rel H (d) A solid cone is formed by spinning the segment OA around the x-axis. (The cone extends from a: = 0 to a: = 2.) Find the cone's centroid. Answers: 5: Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. l q) woo/0:} 100% 11:05 AM Mon Mar 7 webwork.elearning.ubc.ca owork / 2021w2_math_101_all_2021w2 / homework_7 / 15 NU Previous Problem Problem List Next Problem Sets ork 7 Homework 7: Problem 15 lem 15 (1 point) ngs A rod with linear density p(x) = 3 + sin(a ) (in kg/m) lies on the x-axis between x = 0 and ax = 37 / 4. Find the center of mass of the rod (in m). roblems Answer: x = 1 0 2 0 Preview My Answers Submit Answers 3 0 4 / You have attempted this problem 0 times. 5 / You have unlimited attempts remaining. 6 0 7 5 Email WeBWork TA 8 ... 10 11 12 13 ... 14 15 16 18 19 20100% webwork.elearning.ubc.ca Homework 7: Problem 19 (1 point) Let R denote the solid object generated by revolving the plane region below around the x-axis: OKas5, 0 sys 321/3. Find the x-coordinate of the centroid for R. Answer: Hint: Cross-sections of R are circular disks. Concentrating the mass of each disk at its centre reduces this problem to one of finding the centre of mass for a 1D mass distribution on [0, 5]. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email WeBWork TA Page generated at 03/07/2022 at 11:06am PST WeBWork @ 1996-2021| theme: math4 |ww version: 2.16 |pg_version 2.16| The WeBWork Project