20 POINTS Kathy and Quinn decide to go for a two day hike. They leave their base camp and hike 38.0 km at 35 degrees south of east. On the second day they walk 46.0 km in a direction of 65 degrees north of east and find a forest ranger´s tower. Determine the magnitude and direction of their resultant displacement between the base camp and the ranger´s tower.

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j