a Let f y t y sin t and let D R Show that f is a Lipschitz function in y on D and state the Lipschitz constant b Let f y t 1 12 and let D y t MSys M teR for some M 0 Show that f is Lipschitz continuous in y on D and state the Lipschitz constant Hint it will be useful to remember the triangle inequality 121 221 121 22