Can you take the picture closer?
we are given
Calculation of (f/g)(x):
now, we can plug values
now, we can simplify it
Domain:
we know that domain is all possible values of x for which any function is defined
function will be undefined when denominator =0
we are given sqrt function
and we know that value inside sqrt will always be greater than 0
so, domain will be
..............Answer
I think the final angle is 5 sorry if that's not what you were looking for
Answer:
Cartesian
z₁= 3 +4*j
z₂= 2 +3*j
Polar
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Step-by-step explanation:
for the complex numbers z the cartesian form of is
z= x + y*j
then
1) z₁= 3 +4*j (cartesian form)
2) z₂= 2 +3*j (cartesian form)
the polar form is
z= r* e^jθ
where
r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13
and
θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad
then
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Answer: Please expand the question
Step-by-step explanation:
