Home › TS EAMCET › Mathematics › Application of Derivatives › Two positive numbers add up to 16. The least pos…
Two positive numbers add up to 16. The least possible value of the sum of their squares is
A256
B128
C100
D64
Answer & Solution
Correct answer: B. 128
With x and 16 - x, x^2 + (16 - x)^2 is smallest at x = 8, giving 64 + 64 = 128.
Related questions
How fast does the area of a square change per unit change in its side when the side is 4?A differentiable function is increasing on an interval if which condition holds there?If f' changes from positive to negative as x increases through c, what does f have at c?Water enters a cylindrical tank of radius 2 m at 8 pi m^3/min. How fast does the level risA ripple's radius grows at 2 cm/s. How fast does its circumference grow?A spherical balloon gains volume at 8 pi cm^3/s. How fast does r grow when r = 2 cm?A sphere's radius is measured with a 3 percent error. What is the approximate percent erroIf y = x^2, what is dy when x = 3 and dx = 0.02?