Alamina occupies the part of the disk x2 + y2 ≤ 16 in the first quadrant. find the center of mass of the lamina if the density at any point is proportional to the square of its distance from the origin.

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

answer: -x+7

step-by-step explanation: