Vector A has a magnitude of 44.0 and makes an angle of +28.0º with respect to the +x axis. Vector B has a magnitude of 26.5 and makes an angle of +124.0º with respect to the +x axis. Vector C has a magnitude of 31.0 and makes an angle of +270.0º with respect to the +x axis. Part AWhat is the x-component value of the vector sum vec{C}-vec{A}-vec{B}C−A−B? Do not include units in your answer. Part BWhat is the y-component value of the vector sum vec{C}-vec{A}-vec{B}C−A−B? Do not include units in your answer. Part CWhat is the magnitude of vec{C}-vec{A}-vec{B}(C−A−B)? Do not include units in your answer.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

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 .