A bead P of mass m slides down a smooth wire fixed in a vertical plane, which is bent into the form of the catenary S= c tanψ, with its axis is vertical and its vertex at its lowest point. The bead is given a velocity along the tangent when at its highest point. Prove that the velocity of the bead is given by and the bead will leaves the wire when cos ψ = 2/3

Frank owns a $141,000 home, for which he has a 30-year mortgage in the amount of $700 a month. once he has paid off mortgage, how much will he have paid in investment? a. $111,000 b. $109,000 c. $120,000 d. $141,000

How many grams the dog will eat in 3 days?

The numbers on a football field indicate 10 yard increments. you walk around the perimeter of a football field between the pylons. you walk a distance of 30623 yards. find the area and perimeter of the indicated regions. write your answers as mixed numbers, if necessary. a. one end zone: perimeter: yd area: yd2 b. the playing field (not including end zones): perimeter: yd area: yd2 c. the playing field (including end zones): perimeter: yd area: yd2