A mechanic uses the spanner shown in the figure below to turn a bolt B into a threaded nut. The force Fused to do this is applied in a horizontal plane at right angles to the spanner. 15.0 cm threads a) Sketch a simple, labelled diagram showing the forces acting in the horizontal plane on the spanner as it begins to turn the bolt. b) If the effort, F, is 80.0 N and is applied 15.0 cm from the axis of the bolt, calculate the moment of the forces opposing F as the spanner just begins to turn. c) Name the principle used in obtaining your result in b) above. d) Explain why, if the mechanic uses a longer spanner, the effort needed will be smaller.

what is the question because that is not a question.

6 cos 34, 6 sin 34 trig

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 .