WMST 111 Lecture 20: sexuality characterization

Question 4: Set up the lineai system that you will need to solve to determine if the vector 3 u-| 4 | is a linear combination of the veetors ti-l 2 | , ž-14. 3-1? I , ti-l , -23 23 65 25 Write the linear system in the form and express the augmented matrix.

ID#: Some useful formulas: L(I) 1/s Lit)-n! 'sL1/(6-a): 1.(40 points) Find the Laplace transform of f0. ie, Ltto): 3t -3t (2) fit)- 12t-2 .133 [You must use the definition for this problem.] (4) ft) = cos(2t) U(t-7 )

Outline all steps in a possible laboratory synthesis of each of the following compounds from benzene, toluene, and alcohols of four carbons or fewer. (a) 2, 3-dimethyl-2-butanol (b) 2-phenyl-2-propanol (c) 2-phenylpropene (d) 2-methyl-l-butene (e) isopentane (f) 1, 2-dibromo-2¯methylbutane (g) 3-hexanol (h) 3-hexanone (I) (i) 4-ethyl-4-heptanol (j) 2-bromo-2-methylhexane (k) methylacetylene (l) trans-1, 2-dimethylcyclopropane (m) 1-chloro-l-phenylcthane (alpha-phenylethyl chloride) (n) sec-butylbenzene (o) methyl isopropyl ketone (II) (p) 2-methylhexane (q) benzyl methyl ketone (III) (r) 2, 2-dimethylhexane (s) 2-bromo-1-phenylpropane (t) 3-heptyne (u) ethyl propionate (IV)