Show that the given curve c(t) is a flow line of the given velocity vector field f(x, y, z).
c(t) = (2 sin(t), 2 cos(t), 9et); f(x, y, z) = (y, −x, z)
c'(t) = ?
f(c(t)) = ?

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Sundar used linear combination to solve the system of equations shown. he did so by multiplying the first equation by 5 and the second equation by another number to eliminate the y-terms. what number did sundar multiply the second equation by? 2x+9y=41 3x+5y=36

If f(x)=3 over x+2 - square root x-3 then f(7)=