Answer:
p and q are parallel to each other and l, m, and n are all parallel
Step-by-step explanation:
because it tells us they make right angles we know all the lines are going straight therefor they will not intersect with each other
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:
What do you know how to do that you can teach to others?
If you could be a sound, what would it be?
What is the funniest thing that ever happened to you?
What do you think your life will be like in the future?
What is the most wonderful thing that ever happened to you?
Answer:
1 mile =1609 km
Step-by-step explanation:
D = rt
/t /t
D/t = r
80/16 = r
5 = r
Therefore r = 5ft/second