Answer:
θ = 36.94°
Step-by-step explanation:
Brewster's law for polarization states that; tan(θ_p) = n2/n1
Where ;
θ_p is the polarizing angle
n1 is the index of refraction of first material
n2 is the index of refraction of second material
Now, our first material here is air while second material is water.
Index of refraction of water = 1.33 while index of refraction of air is 1
Thus,
tan(θ_p) = n2/n1 = 1.33/1
tan(θ_p) = 1.33
(θ_p) = tan^(-1)1.33
(θ_p) = 53.06°
Now, polarizing angle is the angle of incidence for which all the reflected light is polarized and it's above the vertical. Thus to get the angle to the horizontal, it will be;
θ = 90° - (θ_p) = 90° - 53.06° = 36.94°
The slope of the line is given by the derivative
m = dy/dx = 4x^3 + 2e^x
using the point slope form of a straight line
y - y1 = m(x - x1) where m is the above and (x1,y1) is the point of contact of the tangent we have
y - y1 = (4x^3 + 2e^x)(x - x1) which is equation of the tangent
Answer:
A = 2
Step-by-step explanation:
When there are no solutions for x, both sides x cancel leaving an equation with two distinct numbers equal to each other (e.g. 6 = 0). Therefore, we must find a number A for which that happens.
Lets first simplify the equation, 3Ax - 24 = 5x - 9 + x = 6x - 9.
We want to cancel out the 6x on both sides. This happens when the left side also has 6x, so 3Ax = 6x -> A = 2.
Testing out this works, we get:
6x - 24 = 6x - 9 -> -24 = -9 (which isn’t true)
We get no solutions, which is what we are looking for! Therefore, A = 2 must be our answer!
I hope this helps! :)
Answer:
3.5
Step-by-step explanation:
Answer: 30x-18
Explanation:
You are to multiply the 6 times 5x and -3
6*5x=30x
6*-3=-18
