Decide if each of the following is true or false: 22 (2") (200n) (2) Justify your answers and sho...
6. (15) Determine whether each statement is true or false. Justify your answers. (a) if f(n) = O(g(n)), then g(n) = O(f(n)). (b) if f(n) = O(g(n)), then g(n) = Ω(f(n)). (c) if f(n) = Θ(g(n)), then g(n) = Θ(f(n)).
1. (15 points - 3 each) True or false? Justify your answers. (a) The value of a function near x = a can be well approximated using the tangent line at a (if the function is differentiable at a). (b) The only way for a value x = b to be a critical point is if f'(6) = 0 (c) It is possible for a graph to be both increasing and concave up at the same time. (d) If F(x)...
Mark each of the following as true or false and justify your response. True or False & explain reason for true or false: 1. Sample statistics for variables in a data set should only be calculated for a case-control study. 2. Results from studies should always be generalized to the entire population regardless of the sample. 3. Stratified analyses may reveal differences between groups. 4. Relative Risk (RR) may be calculated for retrospective and prospective studies. 5. If a variable...
2. Determine each of the following statement is true or false and justify your answer: (a) S has a subgroup of order 15. (b) S5 has a subgroup of order 40
2. Determine each of the following statement is true or false and justify your answer: (a) S has a subgroup of order 15. (b) S5 has a subgroup of order 40
Part A. (True/False Questions) (15 pts). Decide if the given statement is true or false. (Justify briefly your answer) 1. The eigenvalues of the matrix A = -5 6 are: 5 and -4. O True False 2. Let A= 2 -4 be a square matrix. The vector v= [ is an eigenvector of the matrix A. 2 True False 3. If I = -4 is an eigenvalue of a 5 x 5 matrix A, then Av = -4v for any...
Part II: Infrared Spectrophotometry 1. Comment on the following statements (true/false) and justify your answers. (a) IR radiation can induce electronic, vibrational and rotational transitions of molecules. (b) Homonuclear diatomic molecules (such as H2, O2 and N2) are infrared inactive. 2 marks each
2. Decide whether each of the following statements is true or false. If false, rewrite it to make it true. a. Entropy of the universe increases in all spontaneous reactions. wo False If entropy is bw enough it con be spontaneous, b. Reactions with a negative free energy change (A-Gº <0) are product-favored and occur with rapid transformation of reactants to products. True c. An exothermic reaction will always be spontaneous. I NO when AH is negative the reaction can...
6) True or False? (justify your answers a) I f ft) is piece wise Continuous on [goo) and of exponential order and L [f(t)] = FC), then L [ S t f (G) I TE F(S) ? S 6) The Function F(s) = 1 is the Laplace transform of a function that is a piecewise continuous on [o,oo) and of exponential order?
1. Decide whether each of the following is an inner product space. Justify your answers. (i) V = Mnxn(R) with (A, B) = tr(AB). (ii) V = M2x2(C) with (A, B) = tr (iii) V = P(R) with (f,g) = f(1)g(1). (iv) V = P(R) with :((1 ;-) B-4). (v) V is the collection of continuous functions from (0, 1) to C, and (5.9) = 'rg() dt. 4.s)-(sat).
Part I: True/False and Justify: For each of the following statements, choose whether it is true or false and justify your choice with a short sentence. 1. One challenge associated with poor households' investment in health is that many health investments have important externalities. 2. If a good or service is not traded on markets, there is no way to value it. 3. In Cost-Benefit Analysis, quantifying benefits is more difficult than quantifying costs.