maximum value

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

Which of the following statements are correct for the function f ( x ) = x 3 - 1 x ( x + 2 ) on the interval [- 10, - 3]? I. f ( x ) has maximum value at x = - 10 II. f ( x ) has minimum value at x = - 1.2 III. f..

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

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..

Gravitational Constant (G) = 6.6734x10 - 1 1 Nm 2 /kg 2 Mass of the Earth (M e ) = 6x10 2 4 kg Radius of the Earth (R e ) = 6.4x10 6 m The value of acceleration due to gravity on Earth is 9.8m/s 2 . This means that when a body falls freely towards the Earth its velocity incre..

Choose the points on the graph of r = 4 cos 2θ for 0 ≤ θ ≤ π that give maximum r -values. => (4, 0), (4, π / 4 ) or (4, 0), (4, π) or (4, π), (4, π / 8 ) or (- 4, - π / 2 ), (0, π / 2 )..

The percent concentration of a certain drug in the bloodstream, x hours after the drug is administered is given by f ( x ) = x x 2 + 4 . For what value of x , the concentration is the maximum? => 4 hours or 2 hours or 2 hours or 2 hours..

For what value of x , f ( x ) = x 2 + 2 x + 1 x 2 + 1 has local maximum. => f ( x ) has local maximum at x = 1 or f ( x ) has local maximum..

The profit P( x ) of a company is given by P( x ) = - x 3 3 + 484 x - 590 , 0 ≤ x ≤ 25, where x is the volume of production. Find the value of x for which the profit is maximum. => 24 or 23 or 22 or 27..

The rate y of a chemical reaction is given by, y = kx ( a - x ), where x is the quantity of the product, a is the quantity of the material used for the reaction and k > 0. For what value of x is the rate of reaction maximum? => a or a 3 or 0 or a 2..