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

Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2

The evening newspaper is delivered at a random time between 5: 30 and 6: 30 pm. dinner is at a random time between 6: 00 and 7: 00 pm. each spinner is spun 30 times and the newspaper arrived 19 times before dinner. determine the experimental probability of the newspaper arriving before dinner.