6. Do the following tasks using Mathematica. y²dA, where R is the region bounded by the curves xy = 1 , xy = 2 , R x * y ^ 2 = 1 and x * y ^ 2 = 2 Transform R into uv plane by making an appropriate change of variables in order to find the integral. (a) Plot R in both ry and uv planes. (b) Find the Jacobian of the transformation (c) Evaluate the integral using the transformation

Carrie and krystal are taking a road trip from greenville each person has her own map carry in north valley or each person has her own map in the scales on the maps are different and carries map read about in northville are 4.5inches apart the scale on a map is 1 inch equals 20 miles how far is greenville from north valley

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Find the value of ax 4 ; a = 2, x = 1. select one: a. 2 b. 4 c. 1 d. 8