The limit of the function tan 6x/sin 2x as x approaches zero is determined by first substituting x by zero. This is equal to zero over zero which is indeterminate. Using L'hopital's rule, we derive each term in the numerator and denominator separately. This is equal to 6 sec^2 x / 2 cos 2x. when substituted with zero again, the limit is 1/2.
Answer:
2.4 * 7/13 = 1.292 m (if Bill get a piece of ribbon)
2.4 * 7/12 = 1.4 m (if Bill do not get a piece of ribbon)
Answer:
π/36 sec-1
Step-by-step explanation:
From the question we are given the formula below
s = rwt ..........eqn(1)
Where s= π/3m, r=3 m, t= 4 sec
We were not given value of " w" which implies we are required to find out values of" w"
We can make " w " the subject of the formula from eqn(1)
s = rwt
w= s/(rt)........eqn(2)
Then substitute for the values in eqn(2)
w= (π/3m ) / ( 3m × 4 sec)
= π/36 sec-1
Hence, the value of the
missing variable is π/36 sec-1
Answer:

Step-by-step explanation:
We have:

We can use <em>common denominator</em>.
Observation:
If you have, 
Then,

Using <em>distributive property</em>:
Observation:
c(a+b)=ca+cb

Finally,

The answer then is:
