Given that

, then

The slope of a tangent line in the polar coordinate is given by:

Thus, we have:

Part A:
For horizontal tangent lines, m = 0.
Thus, we have:

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:
</span><span>θ = 0
</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488
Part B:
For vertical tangent lines,

Thus, we have:

</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:
</span>θ = <span>4.91718592528713</span>
Answer:
5^-4
1 / 5^4
Step-by-step explanation:
5^3 / 5^7
We know a^b / a^c = a^(b-c)
5^(3-7)
5^-4
If you are not allowed to have negative exponents
We know a^-b = 1/a^b
1 / 5^4
Answer:
Step-by-step explanation:
I don’t know if this will help but I hope it does let me know if you get it or not
You subtract 5 to the other side so it'll read -6n=-4 then divide -6 to the other side and it'll be 2/3