1. [V] Let P be the plane through the point (2, 0, 3) that is perpendicular to the line with parameterization r(t) = (1 + 3t)i + (2 − t)i + 4tk. Find a level set equation and two different parameterizations for P. 3. [V] Find the three intercepts of the plane 3x +y + 2z = 12 and use them to sketch the plane. How would you work out the area of the triangle in the plane that is formed by these three intercepts? (Don’t do the calculation: Just explain.)

4. [V] Find a parametrization of the plane that contains both the point (2, 4, 6) and the line x = 7 − 3t, y = 3 + 4t, z = 5 + 2t.

After the seventh month of a 12-month loan: the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} = , and the denominator is: {(n) + (n + 1) + + (n + 11)} = . therefore, the fraction is numerator/denominator (to the nearest tenth) = %

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5)

Which scenarios are most effectively explored by conducting an experiment? there is more than one correct answer. select all that apply. researchers want to study the effectiveness of a particular drug for treating migraines. they want to know which dosage of the drug yields the best results with the least side effects. to ensure fair results, the researchers want to ensure that participants and dosage administrators do not know which dosage participants receive. a teacher wants to plan a class fieldtrip and quickly determine where students prefer to go for the class fieldtrip. a car mechanic wants to know which of two engine brands makes better-performing engines. he wants to test the engines in identical situations and rate their performance in a way that can be fairly measured. a chemist studies the properties of a metal compound. she wants to know how the sample size of the metal affects its ability to conduct electricity. she wants to conduct the research in a controlled environment to minimize bias. a realty company wants to know the average income of its clients. the company wants to gather data income from current clients.