1. You are an engineer and you know that the time (T) it takes to build a bridge varies directly as the length (L)of the bridge and inversely to the number of workers (W). And it takes 120 days to build a 20 m bridge with10 workers. Given the following conditions, solve the following problems:A. Representation1. Using symbols2. Using equationB. What is the constant of variation?c. How long will it take to build the bridge if 2 workers will be out?

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Answered: 1. You are an engineer and you know…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant rate of 60 kilometres per hour. How long will it take him to cover the same distance if he were to drive at a constant rate of 80 kilometres per hour, assuming the same road conditions?
76. Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new cable from the plant to a loca- tion in the city 2 mi downstream on the opposite side costs $180 per foot across the river and $100 per foot along the land. -2 mi- City 800 ft Power plant NOT TO SCALE a. Suppose that the cable goes from the plant to a point Q on the opposite side that is x ft from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x. b. Generate a table of values to determine if the least expensive location for point Q is less than 2000 ft or greater than 2000 ft from point P.
8. A computer company has a monthly advertising budget of €60 000. Each month, this amount is spent completely. The marketing department estimates that if Ex is spent each month on advertising in newspapers and Ey is spent on television advertising, then the monthly sales will be given by the fuction S = 90x¹/4y³/4, expressed in euro. a. Determine an equation for the sales S in terms of . b. Determine how much should be spent on advertising in newspapers each month in order to max- imize the monthly sales. c. Determine how much should be spent on television advertising each month in order to maximize the monthly sales. d. Determine the maximum sales.
22. The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 6-kg object stretches a spring 24 cm, which equation will represent the given situation? O D=144W O D=4/W O D=144/W O D=4W
4. The height h of a geometric solid varies directly as the volume V and inversely as the square of the radius r. Find the equation of variation if h = 22.6 cm when r = 54.3 cm and V = 209,300 cm³. Extension: What is the solid?
5. A city is planning to build a circular water pond for the new park. The depth of the pond will be 2 ft. and because of water resources the maximum volume will be 12 000ft. Find the radius of the pond. Use the equation V = Tr2h where V is the volume, r is the radius and h is the depth.
III. Answer the following questions. 1. A window in the shape of a rectangle surmounted by a right triangle can be seen in the image below. The ratio of the height of the right triangle to the width of the rectangle is 5:12. If the area of the window is 6 square meters, find the dimensions of the window so that the least amount of window frame material can be used.
(1) 29.46 Km/n 63. The length of a rectangular field is twice its breadth. If the rent of the field at 73,500 per hectare i 200 find the cost of surroundings it with fence 5 per metre. (3) 76,500 (1) 76,000 (2) 7,000 (4) 78,000 nd ansuer the following questions.
2. The sales tax rate in New Mexico is 5.125%. Select all the equations that represent the sales tax, t, you would pay in New Mexico for an item of cost c? a. t= 5.125c b. t= 0,5125c C. t = 0.05125c d. t= c + 0.05125 5.125 е. t = C 100
If x = 9 , y = -9 and z = -1 , what is the value of yz + sqrt x + yz - sqrt x
B. Solve the following problem using S.O.L.V.E. process. 1) A jeepney regularly travels the distance of 2x? + 13x + 18 km, but during rainy days it is only 2x2 + 9x + 7 km. Find the rate (kph) and time (hour) of its travel during regular and rainy days.
3. The diagram below shows a company's current packaging of its plant food. 7 cm 10 cm The company will double the radius but keep the height the same. What effect will this change have on the volume of the container? O (a) The new volume will be one and a half times the original volume. O (b) The new volume will be twice the original volume. O (c) The new volume will be three times the original volume. O (d) The new volume will be four times the original volume. P Type here to search 近

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