Solve the following equation: r + log; (r + 4) = 3 log; Write your answers as decimals rounded to four decimal places, separated by a comma. If there is no solution, type NS. Preview
Please write out and show steps Problem 9. Find z a) logs b) log, log, 4- log, 8+2 log, 2 c) log, d) log, (r+2)+log, x = log, 24 log,8log, 9-log, 6 T = 3 log, 2+log, 25-log, 20 HEWLETT PAC 144 9% 7 T G H
What is the slope of log Im vs log R plot? 4. What is the slope of log Im vs log R plot? 4.
2. Study convergence of the integral + log r 00-1-sinr π (π-x) log z o log(1-sina) 2. Study convergence of the integral + log r 00-1-sinr π (π-x) log z o log(1-sina)
5. (a) Show that if the functions f and g are log-convex, f+g is also log-convex. Give a counter example to show that this is not true for log-concave functions (Hint: log(f +g)log(elogf +elogs). Show that this is convex by the second-order test for convexity.) (Hint: Use the definition of log-convex functions.) (Note: Harmonic mean of a,b is defined as T^T.) b) Suppose f is convex, g is non-decreasing and log-convex. Show that h(x) g(f(x)) is log-convex. (c) Show that...
Use log-log, linear or semi-log graphing paper to find constants and to show that hypothesized relationship between parameters is reasonably well satisfied. A bactericide was added to a solution containing a population of 10' bacteria. At various times after this, the number of bacteria was measured and the following results were obtained. Establish an equation relating Y to T and determine all constants. How many bacteria will remain after 100 min? 3. Y(number10 of bacteria) 10% | 32-10° | 10°...
c) log,6-log, (2x + 3)-log, (x + 1) d) 2log, x - 3 + log, (x-2) 2.
Is log((n^2)!) , ?(?log?)? Please show steps of proof. (use limits if possible)
Problem 5: Evaluate log(x) Jo 4+2 0 3. Show that 2x cos(e) Jo 1-cos(0) Problem 5: Evaluate log(x) Jo 4+2 0 3. Show that 2x cos(e) Jo 1-cos(0)