What do you mean, kind sir.
Answer:
The number of instruments assembled in 7.5 hours are 450 n/t.
Step-by-step explanation:
The number of instruments assembled in t minutes = n
the number of instruments assembled in 1 minute = n / t
Total time = 7.5 hours = 7.5 x 60 = 450 minutes
So, the number of instruments assembled in 450 minutes are
You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.
The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").
By definition of inverse functions, we have
f(finv(x)) = finv(f(x)) = x
Differentiating both sides of the second equality with respect to x using the chain rule gives
finv'(f(x)) * f'(x) = 1
When x = a, we get
finv'(b) * f'(a) = 1
or
finv'(b) = 1/f'(a)
Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).
So we take a = π/3 and b = √3/2. Then
arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2
Answer:
1327
Step-by-step explanation:
V=πr²h
π(6.5)²(10)
π(42.25)(10)
π(422.5)
1327.322896