80
10 x8 = 80
AMD THATS ALL YOU GOTTA DO!
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
5 - 17 = 12 so the answer is that it will be -12 degrees outside. Fahrenheit or Celsius??
Hope This Helps!
Answer: 200 messages
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Check out brainly.com/question/11754609 for a similar problem
Plan A's cost equation is y = 0.10x + 30
Plan B's cost equation is y = 50
Equate the two right hand sides, then solve for x
0.10x + 30 = 50
0.10x = 50-30
0.10x = 20
x = 20/0.10
x = 200
If you send/receive 200 messages, then the two plans will both cost the same ($50) per month.
Answer:
4032?
Step-by-step explanation:
The area of the shaded region should just be basic multiplication.