Mathematics Questions and Answers July 03, 2020

Show all work in detail. Ans: a) r=ln2 b)R(t)=0.5e^(-t ln2) c)0.723rad (a) Recall from last term that radioactive material decays according to a negative exponen- tial: m(t) = mo . earl, where m(t) is the mass of the radioactive material at time t, mo = m(0) is the initial mass at time { = 0, and r is the rate of decay. The half-life is the time

4. The Extreme Value Theorem states that if f : D C R -> R is continuous on a set K, where @ # K C D and K is compact, then the restriction fly (i.e., the function with domain K agreeing with f on K ) attains both a global minimum at some point p e K and also a global maximum at some point q e K. Nothing prevents the global minimum value from

Time lei If yixi = 15 and _ x2 = 65. The standard deviation is Select one: O a. 1.71 O b. 0.61 O c. 2.92 O d. 3.91

Time X Speed (y) 151 47 81 75 107 62 31 122 53 100 125 53

Time x 151 81 107 31 53 125 Speed 47 75 62 122 100 53