A sled plus passenger (total mass m = 54.6 kg) is pushed a distance d = 19.8 m across a horizontal, snow-packed surface for which the coefficient of kinetic friction with the sled is μk = 0.15. The pushing force is constant and makes an angle of φ = 32.7 degrees below horizontal. The sled moves with constant velocity. a. Write an expression for the work done by the pushing force in terms of m, g (acceleration due to gravity), φ, μk, and d.

b. What is the work done by the pushing force, in joules?

c. Write an expression for the work done on the sled by friction in terms of m, g (acceleration due to gravity), φ, μk, and d.

d. What is the work done on the sled by friction, in joules?

e. What is the net work, in joules, done on the sled?

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 following is queen elizabeth’s purposes:

- to encourage the parliament that the technique of picking successors to the seat based merely on birthright needs to be reviewed.

- (not) to convince the parliament that her kid should not be measured as a likely choice for heir to the english power.

- to persuade the parliament that merely since she has a child does not assure that the kid will be a capable leader.

- to sway the parliament how shattering it could be if they proceeded discourteously concerning her or her child.