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The vector r(t) = ln (t2 + 1)i + t j + tan-1 t k, -∞ < t < ∞. is the position vector of a particle moving in space.
(a) Find the particle's speed at time t=1.
(b) Find the angle between the velocity and acceleration vectors at time t=1.
(c) At what time(s), if any, are the particle's velocity and acceleration orthogonal?
Plot the log of diameter against the log of the speed. Find the best-fitting line using least squares regression on the log-transformed data.
Highway engineers design a parabolic curve for an entrance ramp from a straight street to an interstate highway . The vertex of the curve passes through (0, 0) and the parabola passes through (1000, + 800). Find an equation for the parabola.
A task force to encourage car pooling did a study of one-way commuting distances of workers in the downtown Dallas area. A random sample of 60 of these workers was taken. The commuting distances of the workers in the sample are given in Table 2-1. Ma..
John is intending to put $10,000 into investment. He picked a fund that grows at 5% per annum. Assuming his profit is compounded annually, how much money would he have from this investment after 5 years and how long would it take for his money to ..
Let (P) denote the LP problem in SEF, let x be an optimal solution for (P) and y be an optimal solution for its dual (D). Let (P') denote the problem obtained from (P) by adding 5 times its first constraint to its second constraint, and let (D') be t..
The angle of elevation to the top of a building from a point on the ground is 39 degrees. From a point 50 feet closer to the building, the angle of elevation is 45 degrees. What is the height of the building?
What is the next value?
Each tire on an automobile has a radius of 1.25 feet. How many revolutions per minute does a tire make when the automobile is traveling at a speed of 88 feet per second?
The distance from New York City to Mumbai is about how many times the length of a New York City north to south block
1 determine if there is a linear relation among air temperature x1 wind speed x2 and wind child y. the following data
Angular speed and linear speed - A bicycle wheel with a 26 inch radius is spinning at a rate of 4 revolutions per second.
World oil consumption can be estimated to be approximately 75.747 million barrels per day in 2002 and to be increasing at approximately 0.29 percent per year. Let Cn be the daily world oil consumption n years after 2002.
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