5. The rate of change in revenue for Under Armour 2004 to 2009 can he modeled by =13.897/ += 284.653 7. Evaluate the definite integral. - where R is the sale (in dt (@). [(3x+ 4 ) dx millions) and t is the time (in years), with / = 4 corresponding to 2004. In 2008, the revenue for Under Armour was $725.2 million. (a) Find a model for the revenue for Under Armour. X = dx (2x3 + 1 (b) Find the revenue for Under Armour in 2006. (@).dx 6. (a) Find the lengths of the sides of the triangle with the given vertices (-1, 0, -2), (-1, 5, 2), (-3, -1, 1). 8. Assume that x and y are positive, use Lagrange multipliers to find the (a). minimum of /(x, y) = x + y, subject to the constraint: x+ y -8=0. (b). maximum of / (x, y) = 2x + 2xy + y , subject to the constraint: 2x + y =100. (b) Determine whether the triangle is a right triangle, an isosceles triangle, or neither