I think you meant
where
By the fundamental theorem of calculus, we have
as well as
The derivative of arcsine is
and so the overall derivative we want is
We can further simplify , as
Then the fully simplified derivative would be
Answer:
The answer is 15 ft.
Step-by-step explanation:
since the trapezoids are similar, they have a scale factor of 3 because 4.5 divided by 3 is 1.5, so 5 x 3 is 15 ft.
Area is 5 1/4 in ^2 or 5.25 in^2
Workup in picture below
Good luck
Answer:Except -1 for all real values of k given the equations has a unique solution.
Step-by-step explanation:
Except -1 for all real values of k given the equations has a unique solution.
Explanation:
Compare given linear pair of equations
(3k+1)x+3y-2 = 0 ----(1)
(k²+1)x+(k-2)y-5=0 ----(2)
with
----(2)
----(3)
we get ,
and
\* Given linear equations have unique solution *\
=> 3k(k-2)+1(k-2)≠3k²+3
=> 3k²-6k+k-2≠3k²+3
=> 3k²-5k-3k²≠3+2
=> -5k ≠ 5
Divide each term by (-5) , we get
=> k ≠-1
Therefore,
Except -1 for all real values of k given the equations has a unique solution.
(33510.328*3/4/pi)^(1/3) you do the math