Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (2, 9, 6) and use it to approximate the number 2.032 + 8.982 + 5.992 . (round your answer to five decimal places.)

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

X+y=-4 x-y=2 use elimination with adding and subtraction