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1. For f(x)= (1-x)/(1+x) and g(x)= x/(1+x) find the simplified form for g[g(x)] and state the domain
2. A particle moves on a line away from its initial position so that after t hours it is s = 2t2 +3t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.
Find the instantaneous rate of change of the centrifugal force with respect to the velocity as the velocity increases to 82l0m/ sec.
A particle has acceleration a(t) = 1 - e^(-t) m/s^2 (meters per second squared) at t seconds. Suppose that the initial velocity of the particle is v0 = 2 m/s and its initial position is x0 = 0 m. Find how far the particle has travelled after 2 s.
Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 150 square inches. Show your work, and justify your answer.
GLOBAL WARMING The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling.
Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel..
1. You invest $720 in an account that has an annual interest rate of 6.2%, compounded semiannually. How much money will be in the account after 5 years? Round your answer to the nearest whole number and include units. Show work.
Based on the three hedging choices available to Daikon Co and the initial assumptions given above, draft a response to the chief executive officer's (CEO) request made in the first paragraph of the question.
TG1401 Engineering Mathematics - Write the elements of matrix R in terms of real-numbers r1, r2, ..., r100. Clearly, show at least the top 4 x 4 part and all the elements on the four corners.
Let A, B, C be sets and let X be a set containing A, B, C as subsets. Prove that A intersects (B union C)= (A intersects B) union (A intersects C)
The buses carry, respectively, 35, 44, 34, and 49 students. One of the studetns is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student
The majority of members want to pass a resolution to change the constitution of IGA Ltd. This resolution would be harmful to minority of members as the majority members want to exploit the minority shares of the members. Advise whether such a reso..
For the United States, automobile fatality statistics for the most recent year of available data are 40,676 deaths from car crashes, out of a total population.
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