Suppose you would like to estimate the elliptical orbit of a certain object around the origin. observations are made of both an angle and a distance. you collect five observations as follows where the first value is degrees (counterclockwise from the positive x-axis) and the second is in millions of miles: (23◦ , ◦ , ◦ , ◦ , ◦ , 137) the equation of an ellipse in polar coordinates can be given by the following for some a and b where θ is the angle (counterclockwise from the positive x-axis) and r is distance from the origin: ar2 cos2 θ + br2 sin2 θ = 1 (a) find the least-squares best-fit ellipse. (b) use this to predict the distance of the object when θ = 225◦ . (c) what is the furthest that the object ever gets from the origin? hint: use sin2 θ + cos2 θ = 1

What elements are found in the inner and out core of the earth? the correct layers of earth's interior from the top to the center? what is the unwanted material that is removed from a mine called? how much stronger is an earthquake that registers 5 on the richter as opposed to 2? what occurs at a convergence plate boundary? the majority of the the earth's rock what is the most common element found in the earth's crust? what element is found in pyrite that contributes to acid mine drainage? why must mining companies post bond prior to permitting? how are bacteria being used in treating effluent from mines? what is a problem of acid mine drainage in rivers and soils? what do tectonic plates move on? why is gold smelting so damaging? how are artesian wells formed? where is dammed water colder than the river it flows into? what is one of the problems of uncontained aqueducts? what is the largest use of industrial water? underground sand and gravel formations that can store water? what type of water test measure acidity? which type of water test for cloudiness from suspended solids? what water test measures the amount of calcium and magnesium? these are all problems of coal power plants all of the following are advantages of riparian lands along rivers what type of water would be the warmest and have the least amount of dissolved oxygen? the zone of aeration is

When an object is heated it contracts. a. true b. false

Utah's great salt lake has an average salinity seven times higher than that of the oceans. very few multicellular organisms live in this harsh environment. an example is the brine shrimp, which must devote a large portion of its metabolic energy to osmoregulation. these brine shrimp must available hint(s)utah's great salt lake has an average salinity seven times higher than that of the oceans. very few multicellular organisms live in this harsh environment. an example is the brine shrimp, which must devote a large portion of its metabolic energy to osmoregulation. these brine shrimp must pump water back into their cells to counter its loss due to osmosisactively pump water back out of their cells to counter its inflow due to osmosissynthesize membranes that are impermeable to substances that upset osmotic balanceactively pump salt back out of their cells to counter its inflow due to osmosis