Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) g(X) = X2 + 5x + 2 concave upward concave downward Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) f ( X ) = _ X X + 3 relative maximum ( x, y) = relative minimum (x, y) =servicesis the fastest growmg part of Web hosting. Managed services sales are expected to grow in accordance by the function rm = 0.469t2 + 0.758t + 0.44 (o s t s 10) where far) is measured in billions of dollars and t is measured in years, with t = 0 corresponding to 19991 (a) Find the interval where fis increasing. (Enter your answer using interval notation.) (b) What does your result tell you about sales in managed services from 1999 through 2009? \" Managed service sales were increasing during this period. A Managed service sales remained the same during this period. A In 1999 managed service sales were much bigger than in 2009. A First managed service sales were increasing and then became a constant. A Managed service sales were decreasing during this period. Find the interest rate needed for an investment of $9,000 to grow to an amount of $13,500 in 9 years if interest is compounded annually. (Round your answer to the nearest hundredth of a percentage point.) , "/0 Find the absolute extrema of the function. h(x) = e"2 _ 9 on [3, 3] Absolute maximum value: Absolute minimum value: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) h(x) = x3 + 3x2 + 1 on [-3, 2] maximum minimum Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If an answer cannot be expressed as an interval, enter EMPTY or .) f(x) = x2 - 5x increasing decreasingU.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the years 2000 and 2010 is approximated by the function 385.474 N(t) = (o 5 ts 10) 1 + 2.521e'0-214t where Mr) is measured in millions and t is measured in years, with t = 0 corresponding to the year 2000.'r How many cell phone subscribers were there in the United States in 2000? (Round your answer to one decimal place.) x million subscribers If the trend continued, how many subscribers were there in 2011? (Round your answer to one decimal place.) x million subscribers Find the dimensions of a rectangle with a perimeter of 180 ft that has the largest possible area. shorter side ft longer side ft Minimizing Packaging Costs If an open box has a square base and a volume of 103 in.3 and is constructed from a tin sheet, nd the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.) height x in length X 0 in width X in