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If p(x) is a degree four polynomial with real coefficients and p(x) increases on each of the intervals [0, 0.2], [0.4, 0.6], and [0.8, 1], prove that p(1)>p(0).
A sequence of n letters is generated by randomly choosing each term as either an X or an O. Determine the probability that the sequence contains no two adjacent Xs?
Please discuss that any convergent sequence in a metric space is bounded. Then find a bounded sedquence of real numbers that is not convergent.
The owner of football team claims the average attendance at games is over 843, and he is therefore justified in moving the team to a city with a larger stadium. Supposing the hypothesis test of the
Santos Company had following transactions pertaining to short-term investments in equity securities. Jan. 1 bought 1,500 shares of Quinn Company stock for $9,250 cash plus brokerage fees of $300
Breezes Curacao has 200 rooms. Each room rents at the $130 per night and variable costs total $42 per room for each night of occupancy. Fixed costs total $18,700 per month.
On a specific section of CPA exam for which the scores were normally distributed with mean of 600 points and standard deviation of 70 points.
Compute installed thrust and SFC at mach 0.8, 30000ft for high-bypass turbofan of appendix E.2 if the inlet pressure recovery is 99% and bleed airflow is increased to 5lb?
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)