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Consider the following ordinary differential equation with the boundary conditions provided (i.e. a boundary value problem: BVP)
y'' - y = ex, 0 < x < 2 y(0)=1, y(2)=1.
Find a quadratic polynomial approximate solution to the BVP using the collocation method with the collocation point at the centre of the domain x1 = 1.
in 2002 approximately 5 exabytes of information were generated by the worldwide population of 6.3 billion people. given that 1 exabyte is 10^12 megabytes find the average number of megabytes of information generated per persona in 2002.
Similarly, one additional unit will be occupied for each 4 dollar decrease in rent. What rent should the manager charge to maximize revenue.
A dock is 15 feet above the water. Suppose you stand on the edge of the dock and pull a rope attached to a boat at the constant rate of 3 ft/sec. Assuming that the boat remains at water level, at what speed is the boat approaching the dock when it..
in design of experiments which of the following steps should you complete before you select your variables?a analyze
Which one of the variables is the independent variable (x) and which one is the dependent variable (y)? Why?
When a ball is thrown, its height in meters after seconds is given by the equation, where is the initial upwards velocity in meters per second
Find a polynomial function that has the given zeros.
The perimeter of a rectangle is twice the length plus twice the width. The area of a rectangle is the product of its length and width. Suppose we let l represent the length and w represent the width of a rectangle.
A poster is to have an area of 230 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
Find the number of combinations that can be made from 9 objects taken 3 at a time.
Every time the jewelry club sells 4 items from the case, the club replaces them with 6 new items. Write a number pattern to show the number of items changes if the jewelry club starts out with 56 items in the case and ends with 64 items in the ..
The dimensions of a closed rectangular box are measured as 80 centimeters, 90 centimeters, and 70 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating ..
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