Using calculus, the area of the region under y=1/(1+x^2), above the x-axis and between x=a and x=b is tan^(-1)b - tan^(-1)a. Use this result, shown in the figure, to find the area of the region under y=1/(1+x^2), above the x-axis, and between a=-1 and b=1

How many ordered pairs of positive integers satisfy xy=32?

Solve the problem by making up an equation. a man could arrive on time for an appointment if he drove the car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrive 3 minutes early for the appointment. how far from his house was his appointment?

Bonnie and bobby are saving money for a vacation. each friend starts with an amount and also saves a specific amount each week. bonnie created a table to show the total she has saved at the end of each week.. weeks 0 1 2 3 4 5 6 7 8 amount saved 12 16 20 24 28 32 36 40 44 bobby came up with the following equation to show the total, y, he has saved at the end of each week, x. y = 12x + 4 compare the rate at which each friend saves money. select the correct answer from the drop-down menu to complete the statement. the rate at which bobby is adding to his savings each week is $ more than the rate at which bonnie is adding to her savings each week.