Divide [-2,2] into (a) 10 subintervals (b) 1000 subintervals of the same length. Then use this division to find an aproximation of the length of the upper portion of the ellipse x^2+2 y^2 = 4. Share your spreadsheet, or any other code that allowed you to get an approximation.

Solve the system. -a+4b+2c=-8 3a+b-4c=9 b=-1 a.(0,11) ,-1,2) c.(1,1,-2) d.(2,-1,-1)

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Acertain population of bacteria demonstrates exponential growth doubles in size every 4 days. how long will it take the population to triple in size?