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:
B. (x, y) --> (x, y + 5)
Step-by-step explanation:
Y is up and down
X is left and right
So assuming that Y is north she needs to go 5 units up Y
(x, y + 5) = (x, 5y)
Answer:
(8,150)
Step-by-step explanation:
Polar form is in,
(r,theta).
To find r, apply pythagorean theorem using both coordinates to find r.
To find theta, since we know the opposite and adjacent side, apply the tangent function.
Apply inverse tan function
Since the degrees have to be in between 0 and 360. Add 180 to -30.
So the answer is
(8,150).
Answer:A
Step-by-step explanation:
There is a pattern where every two days the previous log is multiplied by three. If you divide 3 by 2 you get 1.5 this is the increase per one day so just multiply day 6 by 1.5 to get the answer for day 7.
