To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry d
1 answer:
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Answer:
The new width is 5.6 in
Step-by-step explanation:
Given
New
Old
Required
The new width
This is calculated using the following equivalent ratio
Express as fraction
Multiply both sides by 22.4
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