mat 115 chapter 8

The product of a + b and a 2 - ab + b 2 is a 3 + b 3 . Hence when a 3 + b 3 is factorised, we get: a 3 + b 3 = (a + b) (a 2 - ab + b 2 ) Similarly, a 3 - b 3 = (a - b) (a 2 + ab + b 2 ) Factorise: x 3 + 8 x 3 + 8 = (x) 3 + (2) 3 = (x + 2) (x 2 - 2x + 4) Fact..

Question: Solve the following equation: Answer: 2x-(1-2x) = 5-3(1+x) 2x-1+2x = 5-3-3x 4x+3x = 5-3+1 7x=3 ..

Question: Solve the following equation: Answer: 2x-(1-2x) = 5-3(1+x) 2x-1+2x = 5-3-3x 4x+3x = 5-3+1 7x=3 ..

The first-order first-degree differential equation is said to be homogeneous, if f is a homogeneous function of degree zero, , In other words, f instead of depending on x and y separately, depends on . Thus..

Solve for x : ( 1 x + a ) 2 + 8 x + a - 33 = 0 => a 1 1 , - a 1 1 or - 1 11 - a , 1 3 - a or a - 1 11 , 1 3 + a or 1 11 + a , 1 3 - a..

The table shows the producer price indices of seafood for the years 1980 to 1994. Estimate the price index for the year 1996 and 2005 using a quadratic model for the data. Year ( x ) 1980 1985 1990 1991 1992 1993 1994 Producer price index ( y ) 88.1 115.3 147.5 149.2 155.8 156.6..

Which of the following represents the expression, d - 1 1 6 d 3 ÷ 8 d - 8 8 d 2 , in its simplest form? => 1 d 2 or 1 8 or 1 d or 1 1 6 d..

The rate of fuel consumption (in miles per gallon) of 30 selected sports utility vehicles are shown in the frequency distribution table. Fuel consumption Frequency 11.5 - 12.5 6 12.5 - 13.5 1 13.5 - 14.5 3 14.5 - 15.5 6 15.5 - 16.5 8 16.5 - 17.5 2 17.5 - 18.5 3 18.5 - 19.5 1 Fin..

A pizza outlet owner wants to know the relationship between the student population and the sales in his outlet using the previous years data. Determine the equation of the regression line and predict the value for y ′ when x = 50. Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Students..