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Assume that the large mixing tank intially holds 300 gallons of water in which 50 pounds of salt has been dissolved. pure water is pumped into the tank at a rate of 3gal/min, and when the solution i
Given that Laplace Transform of xe^-kx is F(s) = 1/(s+k)^2, derive the Laplace transform of x^2e^3x without using the intergral definition.
Solve the differential equations by using separation of varables
Determine the wavelength of X-rays falling at glancing angle of 30 degreee on a crystal with atomic spacing 2x10^-10 m for the first order diffraction? Solve please.
Find out a region of the xy-plane for which the given differential equation would have unique solution whose graph passes through the point (x0,y0) in the region.
Human body, Why do both muscle contraction and muscle relaxation spend the energy during or when they taking place?
Mathematical methods in physics - i, A series circuit contains of a resistor with R = 20 ohm, an inductor with L = 1H, a capacitor with C = 0.002 F and a 12 V battery. If the initial charge and curren
Let S be the set of all pairs (i, j) where 1 ? i < j ? n , and n ? 4. Any two distinct members of S are called "friends" if they have one constituent of the pairs in common and "enemies" otherwis
Determine the many rearrangements of nonabsolutely convergent series which are do not alter the sum? Discuss .
Compute the differential equation by using systematic elimination:
Verify that indicated pair of functions is a solution of the given system of differential equations on the interval (-infinity, infinity)
Verify that indicated function is an explicit solution of the given differential equation.
Compute the initial-value problem that desscribes the amount of salt in the tank. Compute the amount of salt in the tank until the tank overflows.
A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes which can be carried in the wooden box, is :.
In the town of 10,000 families it was found that 40% family purchase newspaper A, 20% purchase newspaper B and 10% families purchase newspaper C, 5% families purchase A and B, 3% buy B and C and 4%
How does the reduction of Boolean expressions to simpler forms resemble the traversal of a tree, from the Week Four material? What sort of Boolean expression would you end up with at the root of th
There is the certain army composed of dukes, earls, and soldiers. Each duke has under him twice as many earls and there are dukes. Each earl has under him four times and many soldiers as tehere are
Assume f is any non-decreasing function on a bounded interval [a,b]. If Pn is the partition of [a,b] into n equal subintervals, show that U(f,Pn) - L(f,Pn) = [(f(b) - f(a))] / (b-a)/n What do you c
How many seconds will the 500 metre long train take to cross man walking with the speed of 3 krn/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Determine the capacity of the cylindrical tank? The area of the base is 61,600 sq. cm.
Three persons are walking from the place A to another place B. Their speeds are in ratio of 4 : 3 : 5. The time ratio to reach B by these persons will be
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When tank is empty, all the three (3) pipes are opened. A, B and C discharge chemica
The following table lists numbers of units of raw materials the manufacturer requires for each style. Assume wood costs $5 per unit, nylon costs $3 per unit, velvet costs $4 per unit, and springs co
Find out the singular points of the given differential equation. Classify each singular point as regular or irregular.