Consider the Taylor polynomial T n ( x ) centered at x = 24 for all n for the function f ( x ) = 1 x − 1 , where i is the index of summation. Find the i th term of T n ( x ) . (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form ( − 1 ) n in your answer.

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

Determine the intercepts of the line that passes through the following points. (15,-3)(15,−3) (20,-5)(20,−5) (25,-7)(25,−7)

Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. his brother has a different rectangular piece of land, the area of which is represented by a2 = l(14 − l). let a represent the area in square meters and l represent the length in meters of the pieces of land. the two equations plotted on a graph meet at a point as shown in the image