y? = 2y ?1, y (0) = 3, ?x = 0.2

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) 72.81366
(b) 136.9118

Mathematics

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Simplify.18(20 - 5 ? 3)2 ÷ (2 ? 9)

A. 5 B. 2025 C. 25 D. 45

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Completely factor the polynomial or state that the polynomial is prime.(x - 9)2 - 64

A. (x + 1)(x + 17) B. (x - 1)(x - 17) C. (x + 55)(x - 73) D. (x - 17)2

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Express the number in decimal notation.4.14 × 10-4

A. 0.0000414 B. -414,000 C. 0.000414 D. 0.00414

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Perform the operation and simplify. ?   ?

A.
B. ?
C. ?
D. ?

Mathematics