y? = cos (x y), 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) 3.890958
(b) 3.88427
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For the given functions f(x) and g(x), find (f ? g)(x) or 
(x) as indicated.f(x) = x2 + 14x + 45, g(x) = x + 9Find 
(x).
A. x - 36 B. x3 - 36 C. x2 + 5 D. x + 5
Factor completely, or state that the polynomial is prime.x4 + 16x2 - 225
A. (x + 3)(x - 3)(x2 + 25) B. (x2 - 9)(x2 + 25) C. (x + 3)(x - 3)(x + 5)(x - 5) D. (x - 3)2(x2 + 25)
The graph of a one-to-one function f is given. Draw the graph of the inverse function f-1 as a dashed line or curve.f(x) = 
A. Function is its own inverse
B. 
Find the relative maximum and minimum values and the saddle points if they exist.f(x, y) = x2 + y2 - 8x - 7y
A. No relative extrema or saddle points
B. Relative minimum = -28.25
C. Saddle point = 
D. Relative maximum = 113, relative minimum = 15, saddle point = 