Let ∆(x) = |1+ sin²x cos²x 4sin2x |
|sin²x 1+co²x 4sin2x |
|sin²x cos²x 1+4sin2x|

The value of x (0 ≤ x ≤ π/x) for which ∆(x) is maximum, is equal to
(a) π/2
(b) π/6
(c) π/3
(d) π/4

Step-by-step explanation:

The the value of x for which above determinant is maximum, is equals to

Given determinant is

We get,

We get,

We know,

So,

So, option (d) is correct.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

1. The determinant value remains unaltered if rows and columns are interchanged.

2. The determinant value is 0, if two rows or columns are identical.

3. The determinant value is multiplied by - 1, if successive rows or columns are interchanged.

4. The determinant value remains unaltered if rows or columns are added or subtracted.

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %