Chapter 4.1, Problem 75E

Graph the curve with parametric equations x = sin(t), y = 2 sin(2t), z = sin(3t). And Find the total length of this curve correct to four decimal places.   Calculus 3

Use the parameter t to write parametric equations representing the given curve.  Line passing through (0, 2) and (3, 1)

The figure shows the parametric equations and the path for a ball thrown from a height of 5 ft, with an initial speed of 100 ft/s and at an angle of 45° with the horizontal. y (feet) x= (50/2)t y= 5+(50/2)t– 16?? 80 60 40 20 - x (feet) 100 200 300 (a) Compute the x- and y-coordinates of the ball when t = 2, 3, and 4 seconds. (Round the answers to one decimal place.) t = 2 (х, у) (x, y) = ( t = 3 t = 4 (х, у) = (b) How long is the ball in flight? (Round the answer to two decimal places.) sec What is the total horizontal distance traveled by the ball before it lands? (Round to the nearest foot.) ft