y? = 2y ?3, y (0) = 2, ?x = 0.02
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) 15.96273
(b) 28.78236
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Find the limit L for the given function f, the point x0, and the positive number ?. Then find a number ? > 0 such that, for all x, 
f(x) = 
, x0 = 7, ? = 0.4
A. L = 4; ? = 1.56 B. L = 4; ? = 0.78 C. L = 4; ? = 7.78 D. L = 4; ? = 0.64
Use De Morgan's laws to write the negation of the statement.Denim is out and linen is in.
A. Denim and linen are in. B. Denim is not out or linen is not in. C. Denim is in and linen is out. D. Denim is not out and linen is out.
Provide an appropriate response.Consider an equation of direct variation y = kx. When x increases, does y increase or decrease?
Fill in the blank(s) with the appropriate word(s).
Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent. x + 2y + 2z = -4 4y + 4z = 0 z = 3
A. Dependent B. Independent C. Inconsistent