1. Find two numbers such that their difference is 16and their product is minimal.Write down your complete solution,including all steps as well as a clear statement of your final answer.You may use the math editor, or, if you prefer, plain text, for example using x^2 (for the square of x), x(x+5)=0 (for a sample equation), and x/(x-3) (for division). Show all your work.

2.A particle moves along a straightline according to the law of motions(t)1/6t^3 -5t^2+9t-2=. Find the acceleration at the moment t=4. (Enter your answer as an integer, using digits, not words. Like 78 or -5, not seventyeight or negative five.)

3A particle moves along a straightline according to the law of motions(t)1/6t^3-4t^2+3t-4=. Find the velocity at the moment t=2. (Enter your answer as an integer, using digits, not words. Like 78 or -5, not seventyeight or negative five.)

4 Find the absolute extreme values of the function on the interval. g(x) = 10 - 6x ², -2 x 4

5