The answer to these equations is (4.25, -5.667).
Here is
the solution for this specific problem:
<span>Based from the graph,
the curve will intersect itself at the y-axis, i.e. x = 0. </span><span>
</span><span>t^3 - 6t = 0 </span><span>
<span>t(t^2 -
6) = 0 </span>
<span>t = 0 or
t = ± √6 </span>
<span>dx/dt =
3t^2 - 6 </span>
<span>dy/dt =
2t </span>
<span>dy/dx =
2t/(3t^2 - 6) </span>
<span>@ t = 0,
dy/dx = 0. </span>
<span>x = 0, y
= 0 </span>
<span>y = 0 </span>
<span>@ t = √6,
dy/dx = 2√6/12 = √6/6 </span>
<span>x = 0, y
= 6 </span>
<span>y - 6 =
(√6/6) x </span>
<span>y =
(√6/6)x + 6 </span>
<span>@ t =
-√6, dy/dx = -2√6/12 = -√6/6 </span>
<span>x = 0, y
= 6 </span>
<span>y - 6 =
(-√6/6) x </span>
y = (-√6/6)x
+ 6</span>
So the equations of the tangent
line at the point where the curve crosses itself are: <span>y = (√6/6)x + 6 and
</span>y = (-√6/6)x + 6. I am hoping that these answers have
satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
Answer:
b. Normal data is never one of the inference assumptions.
Step-by-step explanation:
A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.
So, there are two propositions in statistical inference for categorical data
1. That each data in a cell is independent of the others.
2. That samples are randomly drawn.
Thus, there is no room for normality.
Answer:
54
Step-by-step explanation:
234-126 = 108
108/2 = 54
Answer:
Looks like an obtuse scalene triangle
Step-by-step explanation:
The angle of the top vertex looks to be obtuse. It if was acute isosceles it would have 2 equal sides. If it was a right triangle it would have a right angle (which it doesn't). It was obtuse isosceles it would have equal sides. So it should be A: Obtuse Scalene Triangle
