Answer:
The answer is D $3.35
Step-by-step explanation:


The length of the parametric curve (call it <em>C </em>) is given by

We have


Now,

so that the arc length integral reduces to

which has an approximate value of 53.4596.
We know that:
limx→0
sin(x)/x
= 1.
and
cscx = 1/sinx
so,
<span>limx→0 x/sinx = 1</span>
Answer:
f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
= 3(x² - 5x + 4) ← distribute
= 3x² - 15x + 12