To achieve the maximum benefit for the heart when exercising, the heart rate (in beats per minute) should be in the target heart rate zone. the lower limit of this zone is found by taking 70% of the difference between 220 and the age of the person. the upper limit is found by using 85% of the difference. find formulas for the upper and lower limits (u and l) as linear equations involving the age x.

measure their densities same density, same sub

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 .

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000