A hot-air balloon contains air at a temperature of 180 oF. The surrounding air has a temperature of 60 oF. The radius of the spherical balloon is 30.6 ft. The weight of the empty balloon is 200lb. Determine the maximum load (in lbf) that the balloon can lift. Use thermodynamic tables to obtain the density of the hot-air and surrounding air.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

the force represented by vector a is normal force. if the hockey puck is moving to the right, when it is hit with a significant force by the hockey stick the puck will move off in a different direction. correct on edge.