Consider that each tick mark represents 1 mile on the vector grid, use the Gizmo to simulate the following scenario: Imagine that a hiker walked 6 mi SE and then 4 mi N. Find the sum of the vectors. Which of the following best describes the general direction that the blue line points? a) south
b) west
c) east
d) cannot be determined from this information

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