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A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis. (b) Suppose that its acceleration at time t is a=100(1-t)e^(-1). Show that the particle never moves beyond a certain point to the right of its initial position and find that point. Explain why the particle "effectively" comes to a stop at that point.
Compare and contrast the value of three separate, grand strategies for your organization. What questions must each grand strategy answer? Who in the organization does the strategy affect and how?
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from 4 hidden windows
The marketing department at Bodnar Industries is developing a promotional campaign to introduce a new product. A listing of the various activities required, their immediate predecessors, and estimates of their times (in days) is given below.
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
Find the total distance from the given particle - Evaluate the total distance traveled by the particle from t = 0 and t = 4
To determine the dimensions of a rectangular container and evaluate the derivative of the given equation.
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
Summation and proof using mathematical Induction - Provide a careful and complete proof by induction.
Please explain how to find the equations of the tangent line and the normal line to the graph of the equation at the indicated point and achieve the specified answer.
A closed rectangular container with a square base is to have a surface area of 150inches squared. Find the maximum possible volume of such a box.
What is the purpose of a dashed line when graphing a non-linear inequality? Give examples of graphs with and without dashed lines.
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