Answer:
Step-by-step explanation:
you have that the average sped is given by the following formula:
The uncertainty formula for a division is given by:
(1)
Δv: uncertainty in speed
Δx: uncertainty in the distance = 0.9m
Δt: uncertainty in time = 0.7s
x: distance = 8.1m
t: time = 1.7s
You replace the values of all parameters in the equation (1):
Hence, the relation between the uncertainty in the average velocity is 0.426
Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
.
Step-by-step explanation:
The inverse is basically you just swapping x and y. People want to solve it for y to make it a function of x.
Swap x and y:
Now solve for y by dividing y on both sides:
.