Acar of mass m accelerates from speed v1 to speed v2 while going up a slope that makes an angle θ with the horizontal. the coefficient of static friction is μs, and the acceleration due to gravity is g. find the total work w done on the car by the external forces. express your answer in terms of the given quantities. you may or may not use all of them.

The answer is

Explanation:

Here you have to take into account the theorem of work and energy.  This theorem says that the total work done by external forces on a body is used to modify the kinetic energy. So the only thing you have to do is determine the kinetic energy in the initial and final moment , then the diference between them is the amount of net work that act over the body.

i believe the answer is a

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 .