Use Lagrange multipliers to find the maximum and minimum values of
f(x, y) = x + 8y
subject to the constraint
x^2 + y^2 = 4
if such values exist.

Round your answers to three decimal places.
If there is no global maximum or global minimum, enter NA in the appropriate answer area.

What is the value of x? enter your answer in the box. (cm)

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

If 1/√5+1/√5+1=p+q√r , find the values of p, q and r