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:
31 is greater than 28
Step-by-step explanation:
That is how you read it: 31 is greater than 28
Answer:
Step-by-step explanation: a confidence interval is a range that shows how precise the measurement is. if a statistician decides to construct using 90 percent C I over a 95% C I, it tells you that you have 10% chance of being wrong rather than 5% chance of being wrong while using the 95%. Also a 90 percent confidence interval would be narrower than a 95 percent confidence interval
1/5 is an expression that represents 1÷5= .2
Since the return decimal equivalent doesn't go on forever and has a finite end, this is a member of the rational number set.
Answer:
B
Step-by-step explanation:
p(x) = r(x) * s(x)
= (x + 5) *(-7) {Use distributive property}
= x * -7 + 5 * -7
= - 7x - 35