Answer:
1/27
Step-by-step explanation:
The chance of getting X is ⅓. The chance of getting X then Y is ⅓², or ⅑. Finally, the chance of getting X, then Y, then Z is ⅓³, or 1/27
Answer:
the equation is (1) (x-5)(x+4) = x^2 -x -20
Step-by-step explanation:
If the roots are 5 and -4, the factors are (x - the roots). So the factors are (x-5) and (x+4).
Answer:
rotation
Step-by-step explanation:
because the earth rotates
Answer:
3.5
Step-by-step explanation:
the original probability is 7/6 favoring odd
Answer: Hello mate!
Clairaut’s Theorem says that if you have a function f(x,y) that have defined and continuous second partial derivates in (ai, bj) ∈ A
for all the elements in A, the, for all the elements on A you get:
This says that is the same taking first a partial derivate with respect to x and then a partial derivate with respect to y, that taking first the partial derivate with respect to y and after that the one with respect to x.
Now our function is u(x,y) = tan (2x + 3y), and want to verify the theorem for this, so lets see the partial derivates of u. For the derivates you could use tables, for example, using that:
and now lets derivate this with respect to y.
using that
Now if we first derivate by y, we get:
and now we derivate by x:
the mixed partial derivates are equal :)