Hello, this is for my calc3 exam review, i don't know how to do this. can someone me out plz?

a lamina occupies the region inside the cardioid r = 1 + cos θ and outside the circle x 2 + y 2 = 9/4. the density at each point is inversely proportional to the distance to the y-axis. find the center of mass of the lamina. you may use symmetry where appropriate.

What is the solution to the equation? k/6.4=8.7 2.3 5.568 15.1 55.68

The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212

Which of the following is closest to 32.9 x 7.5? a: 232 b: 259 c: 220 d: 265