Answer:
Step-by-step explanation:
We are given the equation of the curve:
(1)
And the equation of the line that is normal (perpendicular to that curve) in the point :
(2)
Note this equation has the form , where is the slope of the line that es normal to the curve and the intersection of that line with the y-axis.
Well, let’s begin by finding the slope of the line that is tangent to the curve by differentiating the equation (1):
(3)
Then, we have to evaluate that when (remember we are given the point ):
(4) This is the slope of the line that is tangent to the curve
And the slope of the line that is perpendicular to that tangent line is its negative reciprocal. Hence:
(5) This is the slope of the line normal to the curve
Then:
(6)
Rewritting (2):
(7)
Evaluating in the point :
(8)
Finding :
(9) This is the value of
Substituting (9) in (6):
(10)
(11) This is the value of
There was one red marble because it said that the probability of choosing a red marble is 1/5 so the other marbles are blue.
<span>Hope this helps. </span>
Answer:
Yes the linear transformation is one to one and it maps a set of real numbers R cubed onto set of real numbers R cubed
Step-by-step explanation:
To show that the linear transformation is one to one, we must show that the columns are linearly independent columns (i.e it must have the trivial solution)
For the Augumented matrix A and applying Row Reduction Formula we have that
=
we can deductively see that
Since the columns are linearly independent, Hence it is a one-to-one transformation and it maps a set of real numbers R cubed onto set of real numbers R cubed
I found the image that corresponds to the above question. I also placed my answer on beside the image.
Pls. see attachment.
Answer:
x=4 I dont know if you are trying to find the value is x
Step-by-step explanation: