Explanation

Given the conditions:

1. √x requires x ≥ 1 (from x - 1 ≥ 0)

2. Denominator x² - 2x ≠ 0 implies x ≠ 0 and x ≠ 2

The domain is indeed x ≥ 1, excluding x = 2.

So, the domain is (1, 2) ∪ (2, ∞).

Explanation

Diagnostic Evaluation identifies the underlying causes of poor performance or learning difficulties.

It helps teachers understand students’ weaknesses to provide targeted support.

Explanation

The ratio of output voltage to input voltage in a transistor circuit is called the voltage gain.

It measures how much the amplifier increases the input signal voltage.

Explanation

Gamma rays consist of radiations similar to x-rays.

They are high-energy electromagnetic waves with no mass or charge.

Explanation

Given dt/dx = xy^(1/2)

Separate variables:

dt/y^(1/2) = x dx

Integrate both sides:

∫y^(-1/2) dy = ∫x dx

2y^(1/2) = (x²)/2 + C

y^(1/2) = x²/4 + C'

Square both sides:

y = (x²/4 + C')²

For simplicity, let's assume C' = 0:

y = (x²/4)² = x⁴/16