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Question: Galileo was the first person to show that the distance traveled by a body falling from rest is proportional to the square of the time it has traveled, and independent of the mass of the body. Derive this result from the fact that the acceleration due to gravity is a constant.
An element e of a monoid M is called an idempotent if e^2 = e. If M is finite, show that some positive power of every element is an idempotent.
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
Fly-by-Night Airlines has a peculiar rule about luggage. What are the dimensions of the bag with the largest volume that Fly-by-Night will accept?
In no less than 100 words please answer the following short answer discussion question: Why are the concepts of ratio and proportion not introduced in the lower elementary grades?
A car starts at a high speed, and its speed then decreases slowly. Sketch a graph of the distance the car has traveled as a function of time.
The location (as a function of time) of a car, moving in a straight line, is given by the expression x(t)= 2t + sin(2pi t)for [0,1]. What are the highest and lowest values of its acceleration in that time interval?
Describe a personal experience of culture shock. In your opinion, was it a positive or negative experience? Why? Research coping mechanisms that you could use to deal with the culture shock you described.
The graph of the tilted ellipse x2 - xy + y2=3 is shown to the right. What are the dimensions and the location of the box containing the ellipse?
For the curve r(t), find an equation for the indicated plane at the given value of t. r(t) = (t2 - 10)i + (2t - 3)j + 9k; osculating plane at t = 0
A SWOT analysis is used to assist those involved in the strategic planning process in compiling information pertinent to formulating the rest of a strategic plan. Although the information garnered from such an analysis can help to formulate strate..
Describe an algorithm to find the longest word in an English sentence (where a sentence is a sequence of symbols, either a letter or a blank).
Compare the major strengths and weaknesses of the forecasting models and outline the primary conditions in which regression is a useful and applicable forecasting tool.
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