geometrical representation minimum value function

Geometrical representation of a Complex number, Argand diagram - Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axis and the imaginary part along..

Let f (x) be a real valued function with its domain D. (i) f(x) is said to have absolute maximum value at x = a if f(a) f(x) for all x D. (ii) f(x) is said to have absolute minimum value at x = a if f(a) f(x) for all x D. The followin..

A function is said to be monotonic if it is either increasing or decreasing but not both in a given interval. Consider the function The given function is increasing function on R. Therefore it is a monotonic function in [0,1]. It has its min..

Find the minimum value of the function y = ( x - 7) 2 . => -7 or 7 or 0 or 1..

Check if the function y = 9 x 2 + 72 x has a maximum or minimum value and find that value. => Minimum; 144 or Minimum; - 144 or Maximum; 144 or Maximum; - 144..

Find the absolute maximum and absolute minimum values for the function f ( x ) = e x (1 + x 2 ) on [- 2, 2]. => 5 e 2 , 1 0 e 3 or 5 e 2 , 5 e 2 or 5 e 2 , 2 e or 5 e 2 , 0 or 0, 5 e 2..

What are the minimum and maximum values of the objective function P = 2 x + 3 y subject to the constraints x ≥ 2, x ≤ 4, y ≥ 1, y ≤ 3? => 7, 17 or 7, 13 or 6, 16 or 6, 18..

Which of the following statements are correct for the function f ( x ) = ln ( x 2 + 3) on the interval [- 10, 10]? I. f ( x ) has minimum value at x = 0 II. f ( x ) has maximum value at x = 10 III. f ( x ) has maximum value..

Which of the following statements are correct for the function f ( x ) = x 2 + 2 x + 5 on the interval [- 1, 3]? I. f ( x ) has maximum value at x = 3 II. f ( x ) has minimum value at x = - 1 III. f ( x ) has maximum value..

Which of the following statements are correct for the function f ( x ) = e 2 x + 5 on the interval [- 4, 3]? I. f ( x ) has maximum value at x = 3 II. f ( x ) has minimum value at x = - 4 III. f ( x ) has maximum value..