3. Consider the function f(x, y) = 4x2 + 4y2 - 4x + 4 (i) Let D = {(x, y) E R2 | 22 + 4y? < 4} and assume f(x, y) is defined on D. Com-
pute the global maxima and global minima and discuss their existence (use the Lagrange Multipliers Principle).

The perimeter of a movie screen is 54 meters. the screen is 18 meters wide. how tall is it?

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

1. which of the following algebraic equations is equivalent to ? x^n = a a^n = x a^x = n x^a = n 2. 16^1/4= 1/2 2 4 3. (-36)^1/2= -6 1/6 no real number 4. 8^2/3= 4 8 16√2 )^5/2= 7,776 1/7,776 no real number 6. m ^ the square root of a^2m simplified is: 7. the square root of 3^3 times the square root of 2 simplified and in radical form is: