Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
Answer:
42y-48
Step-by-step explanation:
6 x 7
6 x 8
Perpendicular from the center to the chord, bisects it!
DE = DF/2 = 12
To find R, use Pyth Th in triangle AOB. ( AB = 10)
10^2 + 14^2 = R^2
100+ 196 = 296 = R^2
In triangle DOE
x^2 + 12^2 = 296
x^2 = 296-144 = 152
x = √152
x = 12.3
