Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim n → [infinity] n i = 1 π 4n tan iπ 4n tan(x) on − π 4 , π 4 tan(x) on 0, π 4 x tan(x) on 0, π 4 x tan(x) on − π 4 , π 4 tan(x) on [0, 4π]

Does the point (1, sqrt 7) lie on circle shown.

One of the solutions to x2 - 2x – 15 = 0 is x = -3. what is the other solution? ox=-5 ox= -1 0 x=1 x = 5

Let us imagine that the number of automobile accidents in a certain region are related to the regional number of registered automobiles in tens of thousands (b1), alcoholic beverage sales in $10,000 (b2), and decrease in the price of gasoline in cents (b3). furthermore, imagine that the regression formula has been calculated as: y = a + b1x1 + b2x2 + b3x3 where y = the number of automobile accidents, a = 7.5, b1 = 3.5, b2 = 4.5, and b3 = 2.5 calculate the expected number of automobile accidents for a football weekend if the region has 25,000 registered vehicles, $75,000 worth of beer is sold, and a gas war causes a 10 cent drop in a gallon of gas.