Use the method of washers to find the volume generated by rotating the region founded by y=2x, y=0, and x=1 about the line y=-2. (A) Sketch the region and a typical washer and (B) find the volume.

Arestaurant chef made 1 1/2 jars of pasta sauce. each serving of pasta requires 1/2 of a jar of sauce. how many servings of pasta will the chef be able to prepare using the sauce?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Solve the following pair of equations for x and y: ax/b_ by /a= a +b; ax - by = 2ab