We made the following three measurements. a = 5 1 , b = 18 2 , c = 12 1 Assuming that these measurements are independent, estimate the following quantities (I, J, K, L) and their standard deviations. Note that a star (*) indicates a multiplication, and loge is the natural logarithm.

(1) I=a+b*c

(2) J=b*c/a

(3) K=a*log_e(b) + c

(4) L=a*sin(b+c)