Answer:
- a
- d
- a
- c
- a
- b
- a
- b
- c
- a
Step-by-step explanation:
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:
0
Step-by-step explanation:
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20ad-bc)
0(4)-4(0) = 0
Answer:
-12 +26i
Step-by-step explanation:
Multiple using the FOIL Method, then combine the real and imaginary parts of the expression.
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Answer:
32
Step-by-step explanation:
The facts we have are the height of the small lighthouse is 8, and the base is 2.5. The base of the big lighthouse is 10.
The factor between the base of the big lighthouse and small lighthouse is 4 (10/2.5).
If we apply this to the height, 8x4 = 32
