Evaluate the integralF dr F(x, y)-(8x2 + y)i + (5x-cos nj where C is the boundary of the region R that is Inside the square with vertices (O. o), (5. 0), (S.5), (0, 5) but is outside the rectangle with vertices (1. 1), (4. 1), (4.2), (1.2).Assume that C is oriented so that the repion R is on the let when the boundary is traversed in the direction of its orientation. F dr- exact number, no tolerance Click if you would like to Show Work for this question:

40 points. given: two congruent angles ∠c and ∠r are supplementary. prove: ∠r and ∠c are both right angles. it doesn't have to be exactly 10 rows.statements reasons1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. 10. 10.

New york is the 27th largest state in the united states.what percent of the 50 states in the us are larger than new york

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 120 lb and 161 lb. the new population of pilots has normally distributed weights with a mean of 125 lb and a standard deviation of 28.1 lb. a)if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb.the probability is approximately? b. if 36 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 lb. the probability is approximately? c. when redesigning the ejection seat, which probability is more relevant? . part (b) because the seat performance for a single pilot is more important. b. part (b) because the seat performance for a sample of pilots is more important. c. part (a) because the seat performance for a sample of pilots is more important. d. part (a) because the seat performance for a single pilot is more important.