. A 500 kg roller coaster car is released from rest at A. (a) Find the minimum height, h, of Point A so that the car travels around inside loop at B without leaving the track. (b) find the velocity of the car at C for this height, h, of A. (c) if the roller coaster car weight changes to 1000 kg, how the minimum height h and velocity at C change?

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect