APPM 2360 Final: appm2360fall2016examfinal_sol
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Answer true if the statement is always true, otherwise answer false. box your answer. Solution: (a) true (b) true (c) false (d) false, since this is underdamping (e) true; the coe cient matrix is invertible (i. e. , nonzero determinant) (f) true, since there is no resonance. , ~vn form a basis for a vector space v, what is the dimension of v? (d) recall that m22 is the vector space comprised of all of 2 2 matrices. Suppose that w is de ned as the set of all 2 2 matrices whose rst element a11 > 0. Demonstrate that w does not form a vector subspace of m22. (e) suppose y = 2t3 + f (t)y2. For what functions f (t), if any, is this de separable? (f) consider the set of all solutions to the logistic equation. For example, if y is a nonzero solution, then 2y is not a solution. Then v (t) = 6t v(t) = 3t2.
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False |
False |
False |
False |
False |
False |
False |