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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.
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.
Two trains running in opposite directions cross the man standing upon the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is
Albert invested the amount of Rs. 8000 in fixed deposit scheme for 2 years at the compound interest rate 5 p.c.p.a. How much amount will Albert get upon maturity of the fixed deposit?
When he reaches S, he stops. Let Sn be the number of distinct paths of exactly n jumps ending at S. What is the value of S2k, where k is an integer?
A salesman sells two types of trousers: cotton and woollen. A pair of cotton trousers is sold at 30% profit and pair of woollen trousers is sold at 50% profit. The salesman has computed that if he s
In travelling from city A to city B, John drove for 1 hour at 50 mph as well as for 3 hours at 60 mph. What was his average speed for the whole trip?
A and B together can do the piece of work in 30 days. A having worked for 16 days, B finishes remaining work alone in 44 days. In how many days shall B finish entire work alone?
A Techno company has 14 machines of equal efficiency in its factory. The annual manufacturing costs are Rs 42,000 as well as establishment charges are Rs 12,000. The annual output of company is Rs 7