Y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
Using the given percentages, it is found that the probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.
<h3>Percentages:</h3>
The percentages associated with an incorrect detection are:
- 2% of 3.5%(have the protein).
- 3% of 96.5%(do not have the protein).
Hence:

The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.
You can learn more about percentages and probabilities at brainly.com/question/25960993
Answer:
x=1.65
Step-by-step explanation:
First switch sides
4x-8=3.6-2-3
Then subtract 3.6 - 2 - 3
4x-8=-1.4
Add 8 to both sides
4x-8+8=-1.4+8
simplify
4x=6.6
Divide both sides by 4
4x/4 - 6.6/4
The simplify again
x=1.65
3x + 5y
Equal it out to zero.
3x + 5y = 0
Lets solve for x first.
3x = -5y
Divide by 3 to get x by itself.
x = -5y/3
Now solve for y.
3x + 5y = 0
Add -3 to both sides.
5y = -3x
Divide both sides by 5.
y = -3/5x
I Sure Hope This Helps!