Answer:
Equation of tangent plane to given parametric equation is:

Step-by-step explanation:
Given equation
---(1)
Normal vector tangent to plane is:


Normal vector tangent to plane is given by:
![r_{u} \times r_{v} =det\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\cos(v)&sin(v)&0\\-usin(v)&ucos(v)&1\end{array}\right]](https://tex.z-dn.net/?f=r_%7Bu%7D%20%5Ctimes%20r_%7Bv%7D%20%3Ddet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Chat%7Bi%7D%26%5Chat%7Bj%7D%26%5Chat%7Bk%7D%5C%5Ccos%28v%29%26sin%28v%29%260%5C%5C-usin%28v%29%26ucos%28v%29%261%5Cend%7Barray%7D%5Cright%5D)
Expanding with first row

at u=5, v =π/3
---(2)
at u=5, v =π/3 (1) becomes,



From above eq coordinates of r₀ can be found as:

From (2) coordinates of normal vector can be found as
Equation of tangent line can be found as:

Answer:
$3.75
Step-by-step explanation:
Candles = C
36C = $27.00
Divide both sides of the equation by 36
C = 0.75
The cost per candle is $0.75
Multiply by 5 to get the cost of 5 candles
$3.75
Hope this was useful to you!
Answer:
x = 9.4
Step-by-step explanation:
(see attached for reference on cosine rule)
by cosine rule
x² = 8² + 15² - 2(8)(15) cos 33°
x² = 64 + 225 - 201.281
x² = 87.719
x = √87.719
x = 9.366
x = 9.4 (nearest tenth)
Answer:
Put the dot on the 5 on the Y-axis
Step-by-step explanation:
Put the initial dot on the 5 on the y-axis (vertical), then it's rise over run if plotting a line. Since it's 3/4 you would go up 3 and over to the right four. You can get the rest of the line by going down 3 from the initial point on five, down left 3.