Chapter 4 Solve the following application problems. 46. An open-top box is to be constructed 48. An open-top box is to be construcA from a 10 inch by 18 inch sheet of tin by cutting out squares from each corner as shown and then folding up the sides. Let V(x) denote the volume of the resulting box. from a 9 inch by 17 inch sheet of by cutting out squares from e corner and then folding up the Let V(x) denote the volume ds resulting box. a. Write V(x) as a product of linear a. Write V(x) as a product ofi factors. factors. b. For which values of x is V (x)= 0? || b. For which values of x is Vre c. Which answers from part b. are c. Which of your answers fromprt are physically possible? physically possible? 49. Assume f(x) is an nª-degreepu TOPIC 1 mial with real coefficients E х 10 in. why the following statement is If n is even, the number of tu points is odd and if n is odd the ber of turning points is even. х - 18 in. 47. An open-top box is to be constructed from a 10 inch by 15 inch sheet of tin by cutting out squares from each corner and then folding up the sides. Let V (x) denote the volume of the resulting box. Rational Functions a. Write V (x) as a product of linear factors. b. For which values of x is V (x)= 0? %3D c. Which of your answers from part b. are physically possible?