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:
i think 4 th option
if u want to verify just substitute (4,-2)
Answer:
F statistic = 11.3 ;
-1.02
Step-by-step explanation:
____Location1(%C) ____ Location2(%C)
1 ______ 10.40 _________ 10.10
2 _____ 10.20 _________ 10.90
3 ______10.30 _________ 10.20
4 ______10.40 _________ 10.70
5 ______10.20 _________ 10.40
F = larger sample variance / smaller sample variance
Using calculator :
Sample standard deviation (s)
s1² = 0.01
s2² = 0.113
F = s2² / s1²
F = 0.113 / 0.01
F = 11.3
Yes, the two standard deviations for the locations are significantly different at the 95% confidence level.
B.)
Tvalue
x1 = 10.3 ; x2 = 10.46
μ1 = 10.30 ; μ2 = 10.46
(10.30 - 10.46) / sqrt[(0.01/5) + (0.113/5)]
-0.16 / 0.1568438
-1.02
Answer:
provides a procedure to hand-draw a square and a circle of equal area
Step-by-step explanation:
According to Vitruvian Man, an arm span and height have a nearly perfect correspondence in the human body. As a result, the body is placed perfectly inside a square. Buildings and other works of man should also occur depending on these proportions. All of this ties in with the problem of finding a procedure to hand-draw a square and a circle of equal area.
Answer:
About 5 hr 10 min
Step-by-step explanation:
rate 1 = 1 pool / 9 hrs rate 2 = 1 pool / 12 hours
now find the time with both rates combined
1 pool / ( 1/9 + 1/12) = 1/ (7/36) = 36/7 hr = 5 1/7 hr = 5 hr 8.6 min