y? = x sin (2y), y (0) = 2, ?x = 0.1

For the initial-value problem, use
(a) Euler’s method and
(b) the Runge-Kutta method with the given step size ?x to approximate y (2).


(a) 1.57638
(b) 1.579182

Mathematics

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Solve the problem.One end of a pool is a vertical wall 16.0 ft wide. What is the force exerted on this wall by the water if it is 7.00 ft deep? The density of water is 62.4 lb/ft3.

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Answer appropriately.A microcomputer company analyzed its sales and profits and discovered a linear relationship between how many units were sold each week and the profits for that week. No matter how many microcomputers were sold, a fixed expense of $19,000 was incurred. The profit associated with each unit sold was $280. The total profit was the per-machine profits less the fixed expense. Express the weekly total profit as a function t(x) where x is the number of units sold each week.

A. t(x) = x + 19,000
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Mathematics

Simplify the radical.-

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Mathematics