6 4. An open box is to be made from a square piece of cardboard, 18 inches by 18inches, by cutting out equal squares from each corner and folding up the flaps to formthe sides. Find the dimensions of the largest box that can be constructed in this way?5. A truck is 300 kilometers due east of a car and is traveling west at a constant speedof 30km/hr. Meanwhile, the car is going north at a constant speed of 60 km/hr. (a) Atwhat rate are they separating or approaching after 2 hours? (b) At what time are theyclosest to each other6. A window is in the form of an equilateral triangle surmounted on a rectangle. Therectangle is of clear glass and transmit twice as much light as does the triangle whichis made of stained glass. If the entire window has a perimeter of 20 feet, find thedimensions of the window that will admit the most light.7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12feet above ground. At what rate is the length of his shadow changing when he is 20feet away from the base of the light? At what rate is the tip of his shadow moving?8. Water is running out of a conical funnel at the rate of 2 cubic inches per second. Thradius at the top of the funnel is 6 inches and the height of the funnel is 12 inches.How fast is the water level dropping when the water is 4 inches deep?

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4. An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out equal squares from each corner and folding up the flaps to form the sides. Find the dimensions of the largest box that can be constructed in this way?

4. An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out equal squares from each corner and folding up the flaps to form the sides. Find the dimensions of the largest box that can be constructed in this way?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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