Answer: a=124 and b=62
Step-by-step explanation:
Answer:
Therefore r'(t) =-k sin t i + k cos t j and |r'(t)| = k so T(t) = r'(t)/|r'(t)| = -sin t i + cos t j and T'(t) = -cos t i- sin t j . This gives |T'(t)| = 1, so using this equation, we have κ(t) = |T'(t)|/|r'(t)| = 1/k.
Step-by-step explanation:
We are already given the definition of curvature and the parametrization needed to find the curvature of the circle. In genecral the curvature κ is equal to κ(t)=|T'(t)|/|r'(t)| where r(t) is a parametrization of the curve and T(t) is the normalized tangent vector respect to the parametrization, that is, T(t)=r'(t)/|r'(t)|.
Now, using the derivatives of sines and cosines, and the definition of norm, we obtain that:
r(t) = k cos t i + k sin t j ⇒ r'(t)=-k sin t i + k cos t j ⇒|r'(t)|²=sin²t+cos²t=1
T(t) = r'(t)/|r'(t)|=-sin t i +cos t j ⇒ T'(t)= -cos t i - sin t j ⇒|T'(t)|²=cos²t+sin²t=1
Answer:
RS = 15 and RT = 18, then ST = 3! :D
Step-by-step explanation:r = 1 --> s=15 & t=18 so st = 270
r = 3 --> s = 5 & t = 6 so st = 30
r = 5 --> s = 3 & t = 3.6 so st = 10.8
etc
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In literal terms:
s = 15/r
t = 18/r
Hope this helped, I'm just in middle school but I'm sure of this! :D
Answer:
n>-15/6
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Factor out 10^7: 10^7(10²+10+1)=111*10^7
write 10^7 into (2*5)^7: =111*5^7^2^7
=555*5^6*2^7
yes, <span>10^9+10^8+10^7 is divisible by 555</span>
