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Suggests that some of the data should be removed before analyzing the drag data set. Redo Exercise 6.27 after removing this data.
Construct a plot that reveals a likely systematic problem with the drag (see Exercise 6.27) data set. Speculate about a potential cause for this.
In the absence of air resistance, a dropped object will continue to accelerate as it falls. But if there is air resistance, the situation is different. The drag force due to air resistance depends on the velocity of an object and operates in the opposite direction of motion. Thus as the object's velocity increases, so does the drag force until it eventually equals the force due to gravity. At this point the net force is 0 and the object ceases to accelerate, remaining at a constant velocity called the terminal velocity. Now consider the following experiment to determine how terminal velocity depends on the mass (and therefore on the downward force of gravity) of the falling object. A helium balloon is rigged with a small basket and just the right ballast to make it neutrally buoyant. Mass is then added and the terminal velocity is calculated by measuring the time it takes to fall between two sensors once terminal velocity has been reached. The drag data set contains the results of such an experiment conducted by some undergraduate physics students. Mass is measured in grams and velocity in meters per second. (The distance between the two sensors used for determining terminal velocity is given in the height variable.) Determine which of the following "drag laws" matches the data best:
Look up the definition of a transcendental number. Explain how to show that such numbers exist and how such numbers can be constructed.
an investor has two investments a and b. the investor believes that investment a is equally likely to increase by 1000
Solve these initial value problems to derive explicit formulas for cosh t, and sinh t. Also show that d cosh t /dt = sinh t and d sinh t / dt = cosh t.
Under what conditions are two fractions equal? Give an example to illustrate your answer.
Some of the arguments are valid, whereas others exhibit the converse or the inverse error. Use symbols to write the logical form of each argument.
The executives at CBC want to see how they are doing in ratings against the other networks and how the ratings will continue to change in the upcoming months. What is the average rating for all CBC movies? How about ABN movies and BBS movies
EXPECTED PROFIT Max built a spec house at a cost of $450,000. He estimates that he can sell the house for $580,000, $570,000, or $560,000, with probabilities.
Fijisawa, Inc., is considering a major expansion of its product line and has estimated the following free cash flows associated with such an expansion. The initial outlay associated with the expansion would be $1,950,000
Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
A homogenous solid with density K is bounded by the cone z = √(x2 + y2), the cylinder 4 = x2 + y2, and the plane z=0. Use spherical coordinates to find the volume of the solid.
How does forecasting effect just-in-time or lean production systems used in most automobile manufacturing plants?
A fabric wall hanging is to fill a space that measures 12 ft by 10 ft. Allowing for 3 in. of the fabric to be folded back along each edge, how much fabric must be purchased for the wall hanging? Round to the nearest whole number.
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