Question 1)

Consider the function f(x) = -6 + 4x - 7. Find the critical point, A, of the function. A At c = A, does f(a) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER . Answer:Consider the function f( ) = ce This function has an absolute minimum value equal to: which is attained at a and an absolute maximum value equal to: which is attained ate =A rectangular storage container with an open top is to have a volume of lms. The length of it's base is twice the width. Material [or the base costs $ 10 per square meter. Material for the sides costs $ 6 per square meter. Find the dimentions and the cost of materials for the cheapest such container Width: | 1.55 Length: | 3.30 ' Ilm Height |134 iii '17: Cost $| 153.54 Suppose that on the interval I, x] is positive and concave up. Furthermore, assume that f"(z) exists and let 9(2) = {f(z))2_ Use this information to answer the following questions. To answer the questions, choose your answers from the following list: GU (concave up), CD (concave down), for) , x) , it"(x) , G , or 1 . 3-} f"($) > 555 on I. II.) 9'12) = 2(A2 + B f"(z)), where A = 555 and B = c.} 9'12) '> 555 on 1'. 649(3) i5 555 on