Use the improved Euler's method to calculate the first three approximations to the given initial value problem. Compare the approximations with the values of the exact solution.y' = x + y, y(1) = 1, h = 0.2

A.

B.

C.

D.


Answer: B

Mathematics

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Solve the problem.A rectangular box is to be inscribed inside the ellipsoid    Find the largest possible volume for the box.

A. 18
B. 16
C. 12
D. 15

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Solve the problem.An artifact is discovered at a certain site. If it has 56% of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.012% annually.)

A. 3667 yr B. 4667 yr C. 2098 yr D. 4832 yr

Mathematics

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.a = 2; r = 4?

A. a5 = 2 + 16?, an = 2 + 4?(n-1) B. a5 = 512?, an = 2 ? 4n-1? C. a5 = 2,048?5, an = 2 ? 4n?n  D. a5 = 512?4, an = 2 ? 4n-1?n-1 

Mathematics

Add the integers.-18 + (-12)

A. -6 B. 6 C. 30 D. -30

Mathematics