We are given the function
F(x) = 9 sinx + cot x
We need to take the first derivative of the given function so,
F' (x) = 9 cos x - csc² x
Next, we equate the first derivative of the function to 0 and solve for the values of x
0 = 9 cos x - csc² x
Solving for x
x = 2.04
Picking out an arbitrary value between 2.04 and π, say 3 and substituting in F(x)
F(3) = 9 sin 3 + cot 3 = 19.55
Therefore, the interval where the function is increasing is from 2.04 to π
Consequently, the interval where the function is decreasing is from -π to 2.04<span />
which of these story problems describes the sum 19 + (-12)? check all that apply. show your work to justify your answer.
1
2. is the right answer
3
Answer:
-1/3 sqrt(21)
Step-by-step explanation:
1/3 sqrt(21) - 2/3 sqrt(3) * sqrt(7)
We know sqrt(a) * sqrt(b) = sqrt(ab)
1/3 sqrt(21) - 2/3 sqrt(21)
Factor out sqrt(21)
sqrt(21) (1/3-2/3)
sqrt(21) (-1/3)
-1/3 sqrt(21)
