Explanation

The square root of any prime number is not a perfect square.

Therefore, √𝑝 is irrational, meaning it cannot be expressed as a fraction of two integers.

Explanation

The phrase “went on” followed by a gerund (-ing form) means to continue doing something.

So, the correct structure is: He went on explaining the benefits.

Explanation

The painting was stolen last month by them.

The sentence is in simple past tense (stole).

Passive voice of simple past is formed as:

was/were + past participle, hence:

was stolen.

Explanation

Conduct management refers specifically to the strategies teachers use to prevent and respond to misbehavior and discipline issues.

It is a subset of classroom management focused on student behavior.

Explanation

The Trapezoidal Rule is a numerical method to approximate the definite integral of a function.

It works by dividing the area under a curve into trapezoids instead of rectangles for better accuracy.

Explanation

- f tan xdx = ln[cos x] + C.

This is a standard result from integral calculus involving trigonometric functions.

Explanation

A function is concave down on an interval if its second derivative is negative over that interval.

Graphically, this means the curve bends downward like an upside-down bowl.

Explanation

Classroom management involves strategies and practices teachers use to maintain an organized, focused, and respectful learning environment.

It includes handling disruptions, organizing activities, and maintaining student engagement.

Explanation

The change in wavelength (Δλ) is given by the formula: Δλ = h/m0c (1 - cosθ), where θ is the scattering angle.

The maximum change in wavelength occurs when cosθ is -1, which happens when θ = 180°.

Explanation

The X-axis and Y-axis intersect at the point (0, 0), known as the origin.

It is the central reference point in the coordinate plane.