Ason lives near a state park, and he likes hiking through the grassy trails that lead to a nearby lake. He appreciates nature and the surrounding components making up the ecosystem. Jason knows humans rely on ecosystems and their cycling of matter and energy. Read each ecosystem service example below and identify the type of ecosystem service for each.


natural resources

___
plants and animals


water cycle and nutrients



recreational services

1.
cultural services

2.
regulating services

3.
provisioning services

4.
supporting services

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