Suppose F→(x, y)=⟨x2+4y,3x−7y2⟩. Use Green's Theorem to calculate the circulation of F⃗ F→ around the perimeter of the triangle CC oriented counter-clockwise with vertices (8,0)(8,0), (0,4)(0,4), and (−8,0)(−8,0). ∫CF⃗ ⋅dr⃗  =​

Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original cost of $190. he also wants to make sure he has enough money to pay the 5% sales tax. part one joel uses the incorect expression 0.95(190)(0.8) to calculate that the tablet will cost him a total of $144.40. describe his error and write the correct expression part two how much will joel pay for the tablet show your work if you answer this question correctly you will receive a prize of 99 points good luck

‼️‼️‼️‼️‼️the pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. if the pressure is 6 pounds per square inch when the temperature is 440 f, find the pressure exerted when the temperature of the gas is 380°f. (show work)

Find the vertex for the parabola given by the function ƒ(x) = −3x2 − 6x.