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:
Last point is at (7,-3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
is given as the nth term of a sequence.
We want to find 
, which means we find the 7th term of the sequence.
Here, we simply substitute "7" into "n" of the formula given for to find the value of the 7th term of the sequence.
We show this below:
So the 7th term is "-15"
