You need to construct a rectangular box with a volume of 380 cm3 whose base length is three times the base width. The material used to build the top and bottom costs $0.84 per square cm and the material used to build the sides costs $0.87 per square cm. The cost of the least expensive box is: _ (Your written work should include the dimensions of the box and must show you using calculus to solve the problem.) The graph of: 3x3 + 6x2 + 7x (5ac2 + 1) (3x + 7) has one vertical asympote and one horizontal asymptote. An equation for the vertical asymptote is: An equation for the horizontal asymptote is: Your written work should include limit computations to support the answers you provide above.Compute the limit: . 5s: + 8 8cos(a:) $>0 32$ ]_ Your written work should include calculus computations to arrive at an exact