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Find the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.
Suppose a particle is moving along a three dimentional path and that its coordinates after t seconds are given by the parametric equations:
X = et y = 2√2et/2 z = t
a) At t = 1, the particle is located at (e,2√2e,1). Find the velocity vector at this point.
b) Find the vector projection of the acceleration vector in the direction of the velocity vector at t = 1
c) Find the length of the curve between t = 0 and t = 1.
Probability and Expected Cash Flow in Marketing Management. Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10..
Find the second derivative
A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch.
A rectangular trench is to be dug which is to be 210 ft long, 90 ft wide and 12 ft deep. A large dump truck can carry 20 cubic yards in a load. How many truck loads will be required to remove the dirt from this trench?
Sewing machines use similar devices, called feed dogs, to move the cloth beneath the presser foot. The motion of the feed dogs can be simulated using fuctions of the type abs(sinkt)/ sinkt in place of sines and cosines.
Why does raising something to the 1/n power help identify that we are dealing something that can be undone by the nth power? Which exponent rule would tell us this is true?
The difference is accumulated every 1/10th of a second for one day. What is the magnitude of the accumulated difference
Determine the exact probability of creating a mini license plate with a 5. Give solution exactly in reduced fraction form.
Fibonacci proved that if the sum of two consecutive integers is a square (that is, if n + (n - 1) = u^2 for some u), then the square of the larger integer will equal the sum of two nonzero squares
The personal savings of the Young Saver Club were normally distributed with a mean of $775 and a standard deviation of $88
An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.08 foot thick, and when the radius is 750 feet, the radius of the slick if increasing at the rate of 0.5 foot per minute. At what rate (in cubic feet per minut..
If Line segment B H || Line segment E G , find the m Angle E D F .
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