
Assuming the lecture hall is:
60 feet width
20 feet heigh
30 feet length
volume of a cuboid with lengthh,breth, height is
V= l*b*h
=30*60*20=36000 ft^3 of air
Assuming the lecture hall is: 60 feet width 20 feet heigh 30 feet length 1. Estimate...
1) An airline requires that the total outside dimensions (length + width + height) of a checked bag not exceed 56 inches, Suppose you want to check a bag whose height equals its width. What is the largest volume bag of this shape that you can check on a flight? a) Length (in)? b) Width(in)? c) Height (in)? 2) Assume that It costs Apple approximately C(x) = 16,900 + 100x + 0.01x^2? dollars to manufacture x 32G8 iPods in a...
The data in the accompanying table give the prices (in dollars) for gold link chains at the Web site of a discount jeweler. The data include the length of the chain (in inches) and its width (in millimeters). All of the chains are 14-carat gold in a similar link style. Use the price as the response. For one explanatory variable, use the width of the chain. For the second, calculate the "volume" of the chain as π times its length...
1) A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 180 feet and a maximum height of 30 feet. Find the height of the arch at 20 feet from its center. 2) A searchlight is shaped like a paraboloid of revolution. If the light source is located 3 feet from the base along the axis of symmetry and the opening is 8 feet across, how deep should the searchlight be?
v: velocity (mph) 20 30 40 50 60 70 80 d: stopping distance (feet) 39 75 118 172 230 305 395 The table above gives the stopping distance d of a car driven at velocity v by an unimpaired person on a paved road in good weather. The function d(v), measured in feet, is twice differentiable with d'(v)>0 and d"(v)>0. 1) Find the average rate of change of the stopping distance of the car between 50 and 60 mph. Specify...
(1) A box has a height of 6 inches, a width of 4 inches, and a length of 10 inches (and therefore a volume of 240 cubic inches). The height is decreasing at a rate of 0.5 inches per minute, the width is increasing at a rate of 2 inches per minute, and the length is increasing at a rate of 1 inch per minute. At what rate is the volume changing? Car A travels East towards the intersection of...
Homework 7 heat transfer 2018-20 1) A horizontal tube of 12.5-mm dimeter with an outer srface temperature of 240°C is placed in a room with an air temperature of 20°C. Estimate the heat transfer rate per unit length of the tube due to free convection. 2) Air at -10°C flows at 10 m/s over the roof plate of two 5m length rooms whose air is at Too-200C. The roof plate is 0.20-m thick concrete (k = 0.6 w/ m. K)....
EXAMPLE 4 Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30 second time interval. We take the speedometer readings every five seconds and record them in the following table. Time (s) 0 5 10 15 20 25 30 Velocity (mi/h) 18 20 22 29 31 31 26 5280 In order to have the time and the velocity in consistent units, let's convert the velocity readings to feet per second (1...
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Question 3 [30 Marks In architectural drawings, the distances are measured in feet and inches according to the English system of measurement. There are 12 inches in a foot. The length of a living room, for example, might be given as 15–8", meaning 15 feet plus 8 inches. The hyphen isn't a negative sign; it merely separates the feet from the inches. Figure 1 shows typical length measurements in the English system. Suppose you want to create...
Problem 2 (20 points) You are hired to design a rectangular sedimentation tank (length to width ratio = 3:1 and detention time 2 h) for a new water treatment plant (flow rate: 0.04 m/s; temperature: 20 °C). Suspended particles can be removed when the overflow rate is higher than the settling velocities of particles. You have finished characterizing the influent particles (assuming all of them are spherical) and obtained the following results: Percentile Particle diameter (um) > 50 > 60...
Jacob wants to estimate the mean length of time (in minutes) all College students spend reading online journal articles. To determine this estimate, he took a random sample of 15 people and obtained the following results: 40, 110, 56, 20, 15, 10, 82, 60, 90, 118, 35, 25, 5, 65, 30. The population of times is normally distributed. Find a point estimate for the population mean. Round off your answer to the nearest whole number.