Let f(x) = sqrt(x). Use linear approximation about x = 25, since 24 is close to 25, and since it is easy to take the square root of 25.
Note that f ' (x) = 1/[2sqrt(x)] from the power rule.
About x = 25, f(x) is approximately f(25) + f ' (25)(x - 25).
So sqrt(24) = f(24) is approximately
f(25) + f ' (25)(24 - 25) = sqrt(25) + {1/[2sqrt(25)]}(-1) = 5 - 1/10 = 4.9 .
First, we are going to add
from both sides of the equation:
Next, we are going to use the trig identity:
to rewrite our expression:
Finally, using our unitary circle, we can infer that
from 0 to
when
and
We can conclude that the solutions of the equation <span>cos (x) tan (x) -1/2=0 over the interval [0,2π] are: </span>
Answer:
the 1 tsp spoon 15 times
Step-by-step explanation:
None of these are correct, if it is asking for a number (x) divided by 45 the correct answer would be x/45
Carla watches a total of 120 minutes of comedy shows (40*3=120)
She laughs 5 times per minute. 120*5 = 600
Carla laughs 600 times every day due to comedy shows.
Let me know if you have any questions about this! :)