Assume a function f is dependent on measurable quantities x

Assume a function f is dependent on measurable quantities x. y. and z. Show a walid uncertainty expression for f using propagation of errors with standard deviations for the function if f = x^2-y^2/z A single deadly virus multiplies exponentially. From the plot below find a valid expression for the population N(t) of the virus If the virus is lethal when the population reaches 50.000, how long do you have to live?

Solution

a.the curve is, y=5x

and y=Ln(N)

Ln(N)=5x

so. N=Exp[5x]

N(t)=Exp[5x(t)]

N(t)=Exp[5t] as x=t

b. Now N(t)=50,000

So, 50,000=Exp[5t]

5t=Ln(50,000)

t=Ln(50,000)/5 hour=10.82 hour