Let G be a graph with 10 vertices and 15 edges. a. How many induced subgraphs does G have? b. How many spanning subgraphs does G have?

Math 1432 Section 15738 MWF 10-11am SEC 100 Dr. Melahat Almus almus@math.uh.edu http://www.math.uh.edu/~almus COURSE WEBSITE: http://www.math.uh.edu/~almus/1432_fall16.html and www.casa.uh.edu Visit CASA regularly for announcements and course material! Read the syllabus posted on the course website. If you email me, please mention the course (1432) in the subject line. Respect your friends- do not distract anyone during lectures. 1 Review Continued: Example: Given that fx x 6f 4, f 5, 2, find f 2 2 2x Example: Given that t ftt sin , find the instantaneous rate of change 1 of f at x . 4 Exercise: Given that f s a differentiable function and x sfx6c , find f . 0 3 Section 7.2 – Average Value of a Function First Mean Value Theorem for Integrals: If f is continuous on [a, b], then there is at least one number c in (a, b) for which bf dx b a