For the following exercises, find the linear approximation L(x) to y = f (x) near x = a for the function. 50. [T] f (x) = x + x4, a = 0 51. [T] f (x) =1x , a = 2 52. [T] f (x) = tanx, a = π 4 53. [T] f (x) = sin x, a = π 2 54. [T] f (x) = xsin x, a = 2π 55. [T] f (x) = sin2 x, a = 0

Come up with a new linear function that has a slope that falls in the range 10 m − < < . choose two different initial values. for this new linear function, what happens to the function’s values after many iterations? are the function’s values getting close to a particular number in each case?

The given dot plot represents the average daily temperatures, in degrees fahrenheit, recorded in a town during the first 15 days of september. if the dot plot is converted to a box plot, the first quartile would be drawn at __ , and the third quartile would be drawn at __ link to graph: .

What power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent and then find the volume of the cube