The two equations represent the proportional relationship.
y=3x and y=12x are proportional relation ship equations
proportion equations can be defined as
If we change x the y will change in the same proportion.
<h3>What is the proportional relationship?</h3>
Proportional relationships are relationships between two variables where their ratios are equivalent.
Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
That constant is known as the constant of proportionality.
proportional relationship equation contain (0,0) points
If we put x=0
This will give us,y=0
If we put x=0, in y=12x
It will give y=0
put if we put x=0 in
y=3x it will give us y=0
hence these two equations represent the proportional relationship.
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7ft if 3+1/3 hopefully this helps i did hwat i can
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:
x=1
Step-by-step explanation:
3x=8x-5
-8x -8x
-5x=-5
divide by -5 on each side
x=1
Answer:
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