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
Answer:
BXE equals 158 degrees
Step-by-step explanation:
the 90 degree angle is vertically opposite to angle 32 and a mysterious number.
90+28+40 = 158 = BXE
Answer:
Step-by-step explanation:
Distance Formula:
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>:
quoi
Step-by-step explanation:
je ne connais pas la réponse
Answer:a) Probability P(exactly 2 bulbs rated 13watts)= 0.22
b) Probability(each bulb different rating)
= 0.24
Step-by-step explanation:
There are 6 13watts bulbs
8 18watts bulbs
4 23watts bulbs
Total bulbs = 18
a) Probability that all 3 bulbs are 18watts
Number of ways of pulling 3 bulbs = 18!/(3!×15!) = (6.4×10^15)/7.846×10^12) = 815 ways
Different ways of pulling 13watts bulbs out of 6 = 6!/(2!×4!)= 720/48=15ways
Different ways of pulling non 13 watts bulbs= 12!/(1!×11!) = 479,001,600/ 39,916,800 = 12
Number of ways total= 15×12=180waya
Therefore P(exactly 2 bulbs rated 13watts)= 180/815 =0.22
b) Probability P( all 3 bulbs are 1 from each rating)
Ways of pulling 3bulbs bulb each from 3 ratings are 4× 5 × 8= 192ways
Probability = 192/815 =0.24