Answer:
The parametric equations for the tangent line are
:
x = Cos(10) - t×Sin(10)
y = Sin(10) + t×Cos(10)
z = 20 + 2t
Step-by-step explanation:
When Z=20:
Z=2t=20 ⇒ t=10
The point of tangency is:
r(10)= Cos(10) i + Sin(10) j + 20 k
We have to find the derivative of r(t) to get the tangent line:
r'(t)= -Sin(t) i + Cos(t) j + 2 k
The direction vector at t=10 is:
r'(10)= -Sin(10) i + Cos(10) j + 2 k
So, the equation of the tangent line is given by:
x = cos 10 -t×Sin(10)
y = sin 10 + t×Cos(10)
z = 20 + 2t
Answer: 15
Step-by-step explanation:
Let x = the number of players the team can bring to the tournament.
Given: Soccer team raised $2158 for tournament.
Bus rent = $1130.50 and budget per player for meals = $68.50
Total cost of tournament = Bus rent + (budget per player for meals) ( number of players the team)

Hence, the number of players the team can bring to the tournament = 15
Answer:
Go up 2, then over negative 6
Step-by-step explanation: