Find a power series representation for f(x) = ln (5-x) and the radius of converg

Question

Find a power series representation for f(x) = ln (5-x) and the radius of convergence Find a power series representation for f(x) = ln (5-x) and the radius of convergence WebAssign Elizabeth Halchak Katz, section 001, Spring 2018 Instructor: Elizabeth Halchak HW 1 (Homework) Current Score:-13 Due : Friday, February 9 2018 11:26 AM EST 1. -/1 pointsKatzPSEf1 2.P.069. A trooper is moving due south along the freeway at a speed of 29 m/s. At time t-0, a red car passes the trooper. The red car moves with constant velocity of 40 m/s southward. At the instant the trooper's car is passed, the trooper begins to speed up at a constant rate of 1.5 m/s2. What is the maximum distance ahead of the trooper that is reached by the red car? Need Help? I need" 2. -/2 pointsKatzPSEf1 2.P.079. A hydrogen ion moves along the z axis of a bubble chamber according to the equation z-5.25t2+1.50t where z is in meters and t is in seconds. (Express your answers in vector form. (a) What is its average velocity during the time interval t-1.00 to 4.00s m/s (b) What is its average velocity during the time interval t-4.00 to 6.50 s? m/s Need Help? Read

Explanation / Answer

1)

The trooper is at constant speed so

x = vt = 40 x t

The red car is accelerating, so

x = ut + 0.5at^2 = 29t + 0.5 x 1.5 x t^2

equating the two and solving for t gives

t = 14.67 sec

so, distance x = 40t = 40 x 14.67 = 586.8m

2)

a)

Vavg = Z4-Z1/4-1 = 83.25 / 3 = 27.75 m/s

b)

Vavg = Z6.5 - Z4 / 6.5-4 = 56.625m/s

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