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Write down the integral for the mass at the thin triangluar plate with density ?(x,y) = 2x+4y which is bounded by the lines x=0, y=0 and x+5y=20. And then write down the integral Mx,
Suggest the set of continuous functions on the interval [a, b], V=C[a,b]. If W is the subset of V such that W={f E V: Integral from a to b f(x) dx=0}, is W closed under addition? Verify or explain.
Determine the complementary solution of y'' - y' - 12y = 4x^2 - 2x and describe the functions of the complementary solution form a fundamental set of solutions on (-infinity, infinity). Then find t
Suggest any set of 4 vectors {v1, v2, v3, v4} where each vi is in R^3. Discuss why this set can't be linearly independent in R^3
The product of the ages of a group of teenagers is 10,584,000. Compute the number of teenagers in the group and the sum of their ages.
Using variation of parameters, find the general solution of the differential equation y'' - y' - 2y = e^(3x)
Do you think the assumption that the two servers fail independently is realistic? What would make it more realistic? What would make it less realistic?
An ant starts at the point (6,0) on the circle of radius 6 meters and walks counterclockwise a distance of 5 meters around the circle.
A pharmaceutical company is considering new HIV test. It finds out that the test has a false positive rate of 5% (the probability that someone tests positive for HIV even though he or she doesn't ha
At a station situated at 43 °N, the surface wind speed is 10 m s-1 and is directed across the isobars from high toward low pressure at the angle Y = 20°. Compute the magnitude o
Chebyshev's Theorem states that for any set of nubmers the fraction which will lie in K standard deviations of the means is at least 1-1/2. Use this theorem to find the fraction of all the mumbers o
Determine the charge of the capacitor and the current in the given LRC series circuit. Compute the maximum charge on the capacitor.
Compute the work done when 1 lb mol of water in an open vessel evaporates completely at 212 degrees F. Result should be in BTU.
A Co.purchased pottery in 120 unit batches form B Co and B Co will only ship that exact amount. Transportation and handling cost of a shipment is $7,600.(excluding the unit cost.) A.Co estimates its
Please solve the following IBVP for the heat equation with nonzero boundary conditions:
A 32 lb weight is attacked to the end of a spring with spring constant k=24 lb/ft/ If the resistive force is 10 dx/dt, find out the displacement of the mass if it is released with no intial velocit
A spiring is stretched 1.5 in by a 4 lb. weight. Let the weight be pulled down 3 in. below the equilibrium level and then released. find the equation of the motion if there is an outside force F(t)
At the petrochemical facility, 1 m3 of the liquid mixture of 40% benzene and 60% toluene was pumped in a cone-roof tank at 25oC. The vapor space above the liquid is saturated with mixture vapor of b
Find out the number of ways to distribute 10 orange drinks, 2 lemon drinks to four thirsty students such so that each student gets at least one drink, and the lemon drinks go to different students.
Determine the vapor pressure of propane at 30 Celcius by using Clausius-Clapyron equation. Given vapor pressure of propane as function of temperature as follows:
According to the wildlife experts, the rate at which crickets chirp is function of temperature; specifically, C= T-40 where C is the number of chirps every 15 sec and T is the temperature in degrees
Suggest the system of equations represented by the augmented matrix . For which values of r, s is there (a) no solution? (b) exactly one solution? (c) infinitely many solutions? Justify your answers
Doni bought $91 dollars worth of sheets at the weekend sale when a $1.60 was marked off every article. She returned the sheets on thrusday when everything was regular price. Since Doni is a good cus
Blackbeard, bluebeard, and redbeard were feeling pleased with themselves. They had just plundered another ship as well as taken the stash of gold and bared the in blackbeards back yard. They decided
Let X = {a,b,c,d}. List the open sets for a nontrivial topology on X such that the resulting space is not Hausdorff.