What is 2x+2x+2= 4x+2
2 answers:
You might be interested in
For some value of z, the value of the cumulative standardized normal distribution is 0.8340. the value of z is
Answer: We are required to find the value of z corresponding to probability 0.8340.
i.e.,
We can find the value of z using the standard normal table.
Using the standard normal table, we have:
Therefore, for the value of z = 0.97, cumulative standardized normal distribution is 0.8340
Attached here standard normal table for your reference.
The limit of a(x)/b(x) as x approaches 0 is gotten as;
lim a(x)/b(x); x→0 = 0
- The image showing the semi circle and isosceles triangle is missing and so i have attached it.
- Formula for <em>area</em> of a semi circle is;
a(x) = A = ¹/₂πr²
- <em>Area</em> of triangle is;
b(x) = A = ¹/₂ × base × height
- From the image, ∠PQR = θ
Thus; a(x) = ¹/₂π(10 sin (θ/2))²
a(x) = ¹/₂π(100 sin² (θ/2))
Similarly;
b(x) = ¹/₂(20 sin (θ/2)) × (10 cos (θ/2))
b(x) = 100 sin (θ/2) cos (θ/2)
- Thus;
a(x)/b(x) = ¹/₂π(100 sin² (θ/2)) ÷ 100 sin (θ/2) cos (θ/2)
100 will cancel out and the sin (θ/2) at the denominator will be eradicated
upon further simplification to give;
a(x)/b(x) = ¹/₂π(sin (θ/2)) ÷ cos (θ/2)
In trigonometry, we know that; tan θ = sin θ/cos θ
Thus;
a(x)/b(x) = ¹/₂π(sin (θ/2)) ÷ cos (θ/2) = ¹/₂π(tan (θ/2))
We want to find the limit as θ approaches <em>zero.</em>
Thus;
lim θ → 0 = ¹/₂π(tan (0/2))
⇒ ¹/₂π tan 0
⇒ 0
Read more at; https://brainly.in/question/9387458
