One angle of a triangle is 30 degrees more than the smallest angle. The largest angle is the sum of the other angles. Find the m
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3.5 belongs to Rational number sets mainly and also belongs to Real Numbers.
<u>Step-by-step explanation:</u>
Number Sets are nothing but group of number classified into groups.
They are Natural, Whole, Integers, Rational, Irrational and Real numbers.
Natural number set = {1,2,3...},
Whole number set= {0,1,2,3...},
Integers = { ....-2, -1, 0, 1, 2, ....},
Rational numbers = { Integers, Decimals, Fractions},
Irrational numbers = { non fractional numbers eg: π, etc.}
Real = { Natural, Whole, Integers, Rational, Irrational }.
Any number which is a fraction resulting in a decimal value is Rational Number sets.
3.5 is a decimal number so it can be Rational Number sets also Real Number sets.
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 :)