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1. Determine whether the force F(x, y) = (2 cosx - sinx) exp (2x + 3y) i + 3 exp(2x + 3y) cos xj is conservative and, if so, find its potential.
2. Determine the work done by F on moving a particle from the point (0, 0) to the point (π/3, 1/3) along the straight line connecting these points. Find the exact expression and evaluate it then up to two decimal places.
a paper cup is to be constructed in the shape of a right circular cone. if the volume desired is 36pie in^3, find the dimensions that require the least amount of paper. (disregard any waste that may occur in construction).
Viscous fluid flows between two rigid boundaries at y=0, y=h, the lower boundary moving in the x direction with constant speed U. The upper boundary is at rest. The boundaries are porous and the vertical velocity is V (constant) at each one.
State and use the principle of superposition to find the general solution. What is the principle of superposition in linear algebra language?
Discuss the factors which might cause variation
Find the formulas for computing the check digits for the international standard book number(ISBN),for both ISBN-10 and ISBN-13.Hence find the check digit for the book with ISBN '0-8176-4227'
What are the formula in the operation of fraction and how will i apply the operation of fraction on word problems
The gambler decides to stop at time 4 or whenever two consecutive heads come up, if earlier. What is the expected surplus at the end of the game?
If the mountain is increasing in height at 2 feet per hour when it is 500 feet high, how fast is the lava flowing (how fast is the volume of the mountain increasing)? ( V = 1/3 πr2h)
The solution to Queuing Analysis. The Bay City Police Department has eight patrol cars that are on constant call 24 hours a day. A patrol car requires repairs every 20 days, on average, according to an exponential distribution
Last season, a pair of jeans cost $44.95. This season, the price of the jeans increased by 15 percent. Later in the season, the jeans were put on sale for 15 percent off.
If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
What is the probability that exactly three of the six people selected have a college degree. Show work. What is the probability that all six people selected have a college degree? Show some work/explanation.
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