1. Suppose the second derivative of fis given by f"(x) = 1 + 182. Determine the intervals of concavity of f. (49 - x )5 7. The following graph corresponds to f"(x), the second derivative of f(x). If the graph does not appear, please reload the page. Enter your answer using interval notation. If an answer does not exist, enter DNE. f is concave up on fis concave down on 2. Suppose the second derivative of f is given by f"(x) = 30x"(x + 8) (x7+ 81). Determine the intervals of concavity of f. Enter your answer using interval notation. If an answer does not exist, enter DNE. f is concave up on f is concave down on 3. Suppose the second derivative of f is given by f"(x) = -25x7(x - 4)"(x2 + 64). Determine the intervals of concavity of f. Based on the above graph of the second derivative of A(x), determine the number inflection points of f(x). You may assume that f"(x) is continuous, f"(x) is defined for all x, and f"(x) = 0 only when x = -4, x = 0, and x = 5. Enter your answer using interval notation. If an answer does not exist, enter DNE. Enter the number of inflection points of f(x): f is concave up on Determine the x-coordinates of the inflection points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if A(x) does not have any inflection points. f is concave down on 4.Suppose the second derivative of fis given by f"(x) = 25(x - 2)*(x2 - 81). Determine the intervals of concavity of f. Enter your answer using interval notation. If an answer does not exist, enter DNE. f is concave up on fis concave down on 5. The total monthly revenue R(x) generated from sales of Calculus videos is related to the amount x spent on advertising by R(x)= -2x3 + 30x2+ 70x + 80 where x is in thousands of dollars. Calculate the point of diminishing returns for advertising costs. The point of diminishing returns occurs at x = . This means that if more than dollars is spent on advertising, then each additional dollar spent produces a -Select-.. V ireturn on investment than the previous dollar. -Select- smaller 6. The total monthly revenue R(x) generated from sales of Calculus videos is related to the amount x spent on advertising by larger R(x)= 2x3 - 24x2 - 120x + 1660 where x is in thousands of dollars and Os x s 10. Which one of the following statements is true? O $4000 is a point of diminishing returns. O $3000 is a point of diminishing returns. $3000 is a point of increasing returns. There are no points of increasing or diminishing returns. O $4000 is a point of increasing returns