Having limits
Your never too old
The edges, the circumference, the border, the limits, the frame, the margins, the fringes, the extremities, the periphery, the perimeter...
Finite
The act of restricting, or state of being restricted; confinement within limits or bounds., That which restricts; limitation; restraint; as, restrictions on trade.
To find new bounds for a definite integral, you can use a substitution method. If you have a substitution ( u = g(x) ), then the bounds of the integral will change according to the values of ( g(a) ) and ( g(b) ), where ( a ) and ( b ) are the original bounds. Specifically, compute the new bounds as ( u(a) ) and ( u(b) ) to replace the original limits of integration. Always ensure to adjust the integral accordingly by also changing the differential ( dx ) to ( du ) using ( du = g'(x) , dx ).
It depends on where you are located.
There are generally no limits to having a best guy friend. If he is truly your friend it will be just like having a best girl friend. He might not want to get a makeover with you though.
bounds
The volleyball is in bounds.
Limits give upper and lower bounds for integration. One simple example is in finding an enclosed area. The upper and lower limits form vertical lines which enclose an area between the function and the x-axis and then integration from the lower limit (smaller x boundary) to the upper limit (larger x boundary).
Phyllis Bounds Detiege's birth name is Phyllis Bounds.
When a kickoff goes out of bounds in football, the receiving team gets the ball at a better starting position on the field. This penalty can result in the kicking team being penalized and the receiving team having a better chance to score.