Answer:
A) -2
Step-by-step explanation:
The form is indeterminate at x=0, so L'Hopital's rule applies. The resulting form is also indeterminate at x=0, so a second application is required.
Let f(x) = x·sin(x); g(x) = cos(x) -1
Then f'(x) = sin(x) +x·cos(x), and g'(x) = -sin(x).
We still have f'(0)/g'(0) = 0/0 . . . . . indeterminate.
__
Differentiating numerator and denominator a second time gives ...
f''(x) = 2cos(x) -sin(x)
g''(x) = -cos(x)
Then f''(0)/g''(0) = 2/-1 = -2
_____
I like to start by graphing the expression to see if that is informative as to what the limit should be. The graph suggests the limit is -2, as we found.
Answer:
6
Step-by-step explanation:
i have had this question before and got it right
A model can help<span> students organize their thinking about a given </span>problem<span>, and identify an ... Young students often </span>solve<span> beginning word </span>problems<span>, acting them out, and ..... </span>You<span> might introduce bar </span>model<span>drawings, or inverted-V diagrams</span>
1 km = 1000 m.....so 4 km = (4 * 1000) = 4000 m...so she runs 4000 meters per day.
each lap is 400 meters.....4000/400 = 10 laps per day
for 3 days.....(3 * 10) = 30 laps in 3 days
Answer:
y = 3x - 6
Step-by-step explanation:
Find the slope of the line:
3 - 6 / 3 - 4 -> -3/-1 so the slope is 3
Now use the point-slope form to find the slope-intercept form:
y - 3 = 3 (x - 3)
y - 3 = 3x - 9 add three to each side...
y = 3x - 6