Answer:
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Step-by-step explanation:
Arc length of a parametric curve is:
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
x = t + cos t, dx/dt = 1 − sin t
y = t − sin t, dy/dt = 1 − cos t
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Or, if you wish to simplify:
L = ∫₀²ᵖⁱ √(1 − 2 sin t + sin²t + 1 − 2 cos t + cos²t) dt
L = ∫₀²ᵖⁱ √(3 − 2 sin t − 2 cos t) dt
Divide numerator and denominator by the value which is equal to denominator...
Answer:28.5
Step-by-step explanation:
Answer: Jason's baseball card is going up in value
Step-by-step explanation:
25(1.02) = 25.5
when we add in the amount of year it will always increase
25(1.02) 2 = 51
So it has to increase in value, no matter what.
Answer:
25 pictures will take up 75 Megabytes of space.
Step-by-step explanation:
Given that:
Number of pictures downloaded = 64
Space taken by pictures = 192 MBs
Unit rate = 
Unit rate = 3 Megabytes per picture
Now,
The space 25 pictures would take,
25 pictures = 3*25
25 pictures = 75 Megabytes
Hence,
25 pictures will take up 75 Megabytes of space.
