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:
4
Step-by-step explanation:
Answer:
what is the question
Step-by-step explanation:
Questions for answers
Answer:
He has 3,65 cups of yogurt left.
Step-by-step explanation:
7 - 3,35 = 3,65
Answer:
20%
Step-by-step explanation:
1/5 as a percent is 20%
The 1 in 1/5 is equal to 10.
The 5 in 1/5 is equal to 50.
Therefore you would multiply 50 x 2 to get 100.
Then, you would multiply 10 x 2 to get 20/100 or 20%