Use the divergence theorem to calculate the flux of −→f (x, y, z) = hx 3 , y3 , −3z 2 i through the boundary of the solid t given by x 2 + y 2 ≤ 4, 0 ≤ z ≤ 2. assuming −→f is the velocity field of a fluid, is the net flow into the solid t, or out of t?

For a school newspaper article, cienna conducted a survey to find out students’ favorite subjects. she polled all the students in mrs. lopez’s advanced dance class. why is her data likely to be skewed? honors dance students are more likely to enjoy dance than students in the general population, so dance may be overrepresented. cienna should have interviewed all the students in the school to get more accurate data. honors dance students are more likely to enjoy dance than students in the general population, so dance will be underrepresented. cienna should have interviewed only every other student in the class to avoid having too many people.

You have $600,000 saved for retirement. your account earns 5.5% interest. how much, to the nearest dollar, will you be able to pull out each month, if you want to be able to take withdrawals for 20 years?

Find the area of the triangle shown 3 by 6