Think of ratios as fractions.
5:8 is the same as 5/8
6:7 is the same as 6/7
Divide each fraction
5/8 = 0.625
6/7 = 0.857
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0.857 > 0.625 ∴ 6:7 is greater, and is your answer
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hope this helps
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:
Step-by-step explanation:
Ur answer sir :)
1) 6⁴
2) t²
3) b⁴
4) 5²× 7³
5) 2²× a²
6)a³× c⁴× d
<h2>I HOPE IT IS HELPFUL</h2>
Answer:
-20 + 15g
Step-by-step explanation:
5 multiplied by -4 is -20
5 multiplied by 3g is 15 g.
because these two variables do not both have a g with them, this is the most they can be simplified. hope this helps!
