Homework Statement
A 740g quantity of an ideal gas undergoes a reversible isothermal compression at a temperature of 330 K. The compression reduces the volume of the gas from 0.40 m3 initially, to 0.32 m3 finally. The entropy change of the gas is equal to:
A) -43 J/K B) -150 J/K...
a) this is actually both chain and product rule. tan^{2}x is the same as (tanx)^{2}.
So now you use power rule on the entire function, multiplied by the derivative of the function, i.e. 2tanxsec^{2}x
b) Again, chain rule and power rule. cos^{3}(x^{2}) can be rewritten as (cos(x^{2}))^{3}...
Integration is certainly 1 way to approach this, but since you're given such exact dimensions, why not just take a geometric approach?
For any triangle with a constant, continuous mass distribution, the center of mass is the centroid. The centroid is found by drawing 3 lines, each from one...
The way I see it, this is a conditional probability problem that involves the binomial distribution. That is, "what is the probability of getting exactly 2 heads given that at least 1 head occurs".
The formula for the probabilty of event A given B, written as P(A|B), is:
P(A|B) =...