The slope of the tangent line to
at
is given by the derivative of
at that point:

Factorize the numerator:

We have
approaching -1; in particular, this means
, so that

Then

and the tangent line's equation is

The answer is 1/2 in fraction form because 0.5 is half of 1
Answer:
The answer is (d) ⇒ e = 1/7 , k = 12 , conic ellipse
Step-by-step explanation:
∵ r = ek/(1 ± ecosФ)
∵ r = 12/(7 - cosФ) ⇒ ÷ 7 up and down
∴ r = 12/7 ÷ 1 - 1/7 (cosФ)
∴ e = 1/7
∵ 12/7 = ke ⇒ 12/7 = k(1/7)
∴ k = 12
∵ 0 < e < 1
∴ The conic is ellipse
208 + 10x = 36x
208 = 36x - 10x
208 = 26x
208/26 = x
8 = x......so she must sell 8 purses to break even
Answer:
No , It has two endpoints.
Explanation: A line segment has two end points with a definite length.
A straight line has neither starting nor end point and is of infinite length.