(a) Show that the matrix differential equation dX/dt = AX + XB has the solution X(t) = e

Chemistry: A Molecular Approach 3
Calculating the Theoretical Yield and the Percent Yield for a Reaction Adipic acid, \(\mathrm{H}_{2} \mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{4}\), is used to produce nylon, The acid is made commercially by a controlled reaction between cyclohexane \(\left(\mathrm{C}_{6} \mathrm{H}_{12}\right)\) an

Introductory Chemistry 5
What are the basic unitssingle atoms, molecules, or formula unitsthat compose each substance? (a) \(\mathrm{Rb}_{2} \mathrm{O}\) (b) \(\mathrm{N}_{2}\) (c) \(\mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{2}\) (d) \(\mathrm{~N}_{2} \mathrm{~F}_{4}\)

Chemistry 11
The unit "troy ounce" is often used for precious metals such as gold (Au) and platinum (Pt). (1 troy ounce = 31.103 g.) (a) A gold coin weighs 2.41 troy ounces. Calculate its mass in grams. (b) Is a troy ounce heavier or lighter than an ounce? (1 lb = 16 oz; 1 lb = 453.6 g.)

Biology 8
In eukaryotic cells, transcription cannot begin until a. the two DNA strands have completely separated and exposed the promoter. b. several transcription factors have bound to the promoter. c. the 5' caps are removed from the mRNA. d. the DNA introns are removed from the template. e. DNA nucleases ha

Principles of Economics 1
What is the double-coincidence of wants?

Urban Economics 8
Performance City Consider a region where households produce and consume musical performances, either live performances or free recorded performances transmitted over the Internet into homes. After accounting for price, the utility from a live performance is three times the utility from recorded music

Fundamentals of Organic Chemistry 7
How many electrons does each of the following elements have in its outermost electron shell? (a) Potassium (b) Calcium (c) Aluminum