linear approximations

Find the linear approximation to the function f ( x ) = 5 x 2 - 6 x + 7 near the point a = - 3. => 178 + 36 x or 7 - 63 x or -38 + 36 x or -38 - 36 x or - 700 - 210 x..

Find the linear approximation to the function f ( x ) = ln (9 + x ) near the point a = 2. => 1 11 (1.08 - x ) or 1 11 (26.4 + x ) or 1 11 (1.08 + x ) or 0 or 1 11 ( x - 26.4)..

Find the linear approximation to the function f ( x ) = 5 x 8 x + 9 near the point a = 0. => - 5 8 x or 0 or - 5 9 x or 5 9 x or 5 8..

Approximate the solution of the linear equation 2.3(6 - 2 x ) = 1.8 x - 14.5 by using a graphing calculator. => - 4.4 or - 7.4 or 4.4 or 0.3..

Approximate the solution of the linear equation 3 x - 8.2 = 2(1.3 x - 5.6) by using a graphing calculator. => 1.5 or 6.8 or 48.5 or - 7.5..

The table shows the population (in millions) of a state from the year 1983 to 1990. Find a linear model for the data and then predict the population in the year 92. Year (83 = 1983): x 83 84 85 86 87 88 89 90 Approximate population (in millions): y 24.2 24.9 25.8 26.7 27.8 28.5 ..

Molecular orbital theory was proposed by F. Hund and R.S. Mulliken in 1932. The basic idea of molecular orbital theory is that atomic orbitals of individual atoms combine to form molecular orbitals. The electrons in molecules are present in the molecular orbitals, which are associated with several ..

We know that the moon revolves around the Earth in a circular orbit and the Earth revolves around the sun in an elliptical orbi..

. When sound becomes so intense that it is painful to the ear, the amplitude is of the order of 1-2mm. The loudness of sound is defined as the degree of sensation of sound produced in the ear. The loudness of sound depends on its intensity but the relationship is not linear. It obeys an h..

Structure of Functional Groups - In alcohol, the oxygen of the -OH group is attached to sp 3 hybridized carbon by a sigma ( s ) bond formed by the overlap of sp 3 hybrid orbital of carbon with an sp 3 hybrid orbital of oxygen. in alcohols is slightly less than the tetrahedral angle (109 o 28') In p..