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1. Suppose you have inherited a piece of property about two hours from where you live and work, an undeveloped lot on a lake. It is a beautiful spot, and you intend to build a small summer house on it, so you and your family can vacation there. You've been saving up to do this, but after five years has passed, environmentalists discover that your property is part of "critical habitat" for the spotted green-toed guttersnipe, a species of lizard protected under the federal Endangered Species Act. This means you will never be able to build on that land. What is your reaction?
2. In deciding this ExxonMobil case, Judge Armstrong made use of the factual difference between these two scenarios: (1) several companies contribute to the pollution of a stream; (2) several companies contribute greenhouse gases to the atmosphere. Do you agree that the distinction between them is significant? Or is this a "distinction without a difference"? In dismissing this case, the court notes the complexities of global warming-its lengthy timeline, its interacting chemical inputs, and its "multitude of alternative culprits," including millions of ordinary consumers. If the U.S. federal court system is not the best place to address this profoundly complicated phenomenon, what is? Why?
Explain the four steps for solving quadratic equations. Can any of these steps be eliminated?
Prove the deg_2(f) is well defined by direct application of the Boundary Theorem. Note f is a smooth map of a compact manifold X into a connected manifold Y and dim X = dim Y. (Hint: if y_0, and y_1 in Y, alter f homotopically to get f travers..
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities
Using MatLab, compute H^-1H for various n between 5 and 15. Describe the results and comment on the difference between the MatLab output and what is expected the answer to be
two fire towers are 30 kilometers apart, tower A is due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14'N and W 34'N. Find the distance d of the fire.
Find all points on the ellipsoid 2x^2 + 3y^2 +4z^2 = 9 at which the plane tangent to the ellipsoid is parallel to the plane x - 2y+ 3z = 5
Find a recurrence relation for the number of ways to climb n stairs if the person climbing the stairs can take one, two, or three stairs at a time.
Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
find the cubed roots of 27i. so n3 answer should be in standard form. use 27 cis 90 degress which is the trigonometric
Estimate the slope of the curve y = f(t) at t = 0 .2 . In principle, what is the relationship between this slope and the instantaneous speed?
the daytime maximum temp of a city is 33 degrees C. At night the temp became 26 degrees c. what is the rise in temperature from daytime to night time?
There are three types of bread, three types of meat, three types of cheese and four types of topping. How many different sandwiches can the restaurant make?
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