y? = sin (x y), y (0) = 1, ?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) 2.117293
(b) 2.1432

Mathematics

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Find the volume of the indicated region by an iterated integration.The tetrahedron bounded by the coordinate planes and the plane  

A. 30 B. 45 C. 90 D. 60

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Use reference angles to find the exact value of the expression. Do not use a calculator.tan 

A. 0 B. 1 C. -1 D. undefined

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Represent the vector in the form v = ai + bj whose magnitude and direction angle are given. = 14; ? = 270°

A. v = -14i - 14j
B. v = -14j
C. v = -14i
D. v = 14

Mathematics

Solve the problem.The table shows the average temperature in degrees Fahrenheit from February through December in a certain city. In this table  corresponds to February,  corresponds to April, etc. Determine whether a linear, quadratic, cubic, or quartic polynomial best fits this data.

A. Linear B. Quadratic C. Cubic D. Quartic

Mathematics