Find the maclaurin series for f(x) using the definition of a maclaurin series. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = ln(1 + 5x) f(x) = ∞ n = 1 find the associated radius of convergence r.

1. a right triangle is graphed on a coordinate plane. find the length of the hypotenuse. round your answer to the nearest tenth. 2. use the angle relationship in the figure below to solve for the value of x. assume that lines a and b are parallel and line c is a transversal.

The rectangle on the right is the image of the rectangle on the left. what transformation would result in this image? reflection rotation translation dilation

Awater tank holds 18000 gallons. how long will it take for the water level to reach 6000 gallons if the water is used at anaverage rate of 450 gallons per day