An open box is made from a metal sheet with dimensions 12 cm by 28 cm...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
An open box is made from a metal sheet with dimensions 12 cm by 28 cm as illustrated below in A up to open Let x be the length of the corner that is cut out. This will be the height of the box. [0] 28 cm (c) 12 cm 28 - 2x (a) Show that the volume of the box is given by v = 4x³ 80x² + 336x 12 - 2x (4 marks) dV (b) Find and hence find the dimensions that give the maximum volume. What is the dx maximum volume? (8 marks) Consider a box having a volume of 250 cm³ that was made from the above metal sheet with dimensions 12 cm by 28 cm. To two decimal places estimate the length, x, of the square corner that was cut away. Hint the answer is between x = 0.9cm and x = 1cm. An open box is made from a metal sheet with dimensions 12 cm by 28 cm as illustrated below in A up to open Let x be the length of the corner that is cut out. This will be the height of the box. [0] 28 cm (c) 12 cm 28 - 2x (a) Show that the volume of the box is given by v = 4x³ 80x² + 336x 12 - 2x (4 marks) dV (b) Find and hence find the dimensions that give the maximum volume. What is the dx maximum volume? (8 marks) Consider a box having a volume of 250 cm³ that was made from the above metal sheet with dimensions 12 cm by 28 cm. To two decimal places estimate the length, x, of the square corner that was cut away. Hint the answer is between x = 0.9cm and x = 1cm.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
The cost of debt capital is lower after taxes than before taxes. The cost of equity capital is more difficult to estimate using the dividend method or the CAPM model, for example, yet the after-tax...
-
The cost of retained earnings is less than the cost of new outside equity capital. Consequently, it is totally irrational for a firm to sell a new issue of stock and to pay dividends during the same...
-
The cost of financing investment is related only to interest rates; therefore, the only way that monetary policy can affect investment spending is through its effects on interest rates." Is this...
-
Hughes Company has a credit balance of $5,000 in its Allowance for Doubtful Accounts before any adjustments are made at the end of the year. Based on review and aging of its accounts receivable at...
-
Assume that Iris Inc. has the following accounts at the end of the current year: 1. Common Shares 2. Raw Materials 3. FV-OCI Investments 4. Unearned Rent Revenue 5. Work-in-Process Inventory 6....
-
A normal discharge of fire extinguishing agent will cause a __________________ disk to be ejected from the skin of the aircraft fuselage.
-
When consolidation and separation of trials may occur?
-
Capacity costs Kens Cornerspot, a popular university eatery in a competitive market, has seating and staff capacity to serve about 600 lunch customers every day. For the past two months, demand has...
-
What strategies can leaders employ to foster a culture of innovation and experimentation while maintaining operational efficiency and mitigating risks in high-stakes industries ?
-
Holmes Corporation is a leading designer and manufacturer of material handling and processing equipment for heavy industry in the United States and abroad. Its sales have more than doubled, and its...
-
What qualities do you have that you think will make being a social worker challenging?
-
Julio Ramirez sat forward at his desk and pondered the lat- est contract he taken in his human resource management consultancy. He been contracted by the Metro School District to provide some outside...
-
Joe Houlihan has borrowed $12,000 from the Friendly Finance Company. He will repay the loan by making 10 annual payments of $1869.83. Determine the interest rate that Friendly is charging Joe.
-
Find the absolute maxima for the function: f (x) = 7 x + sin (7x) on the interval [0,2]. Enter the exact answers. absolute maximum = absolute minimum A
-
The length 3 . 7 6 mm is divided by 0 . 0 2 3 2 mm . The appropriately rounded ratio is
-
Two waves whose frequencies are 5 0 0 and 5 1 1 per second travel out from a common point. Find their difference in phase after 1 . 4 0 s Answer : 1 4 4 degrees Provide derived equation how this...
-
John withdrew $16,000 from a 529 plan for his 12-year-old son, John Jr. John Jr. is in 6th grade and attends a private middle school. Assuming that the $16,000 is all earnings in the 529 plan, how...
-
Decades after the event, Johnson & Johnson (J&J), the 130-year-old American multinational, is still praised for swiftly The company indicated that its response was based on the expectations set forth...
-
Multiple Choice Questions 1. A project that has a condition associated with its acceptance or rejection is known as: (a) A mutually exclusive alternative (b) A contingent project (c) A dependent...
-
List three assumptions that are inherent in the annual worth method of comparing alternatives.
-
A contractor purchased equipment costing $40,000 in 2010 when the M&S equipment cost index was at 1461.3. He remembers purchasing the same equipment for $21,771 many years ago, but he does not...
-
What is the effect of pressure on equilibrium conversion of a gas-phase chemical reaction?
-
The diathermal wall (a) Is incapable of exchanging heat with the surroundings (b) Permits the full flow of heat from the system to the surroundings and vice versa (c) Both (a) and (b) (d) None of...
-
The total energy of a system comprises (a) Kinetic energy, potential energy and vibrational energy (b) Kinetic energy, potential energy and rotational energy (c) Kinetic energy, potential energy and...
Study smarter with the SolutionInn App