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

Explanation

قرآن مجید میں صحابہ کرام رضی اللہ عنہم کی ایثار کی صفت کو سراہا گیا ہے، خاص طور پر سورہ الحشر (59:9) میں۔

ایثار کا مطلب ہے دوسروں کو اپنی ذات پر ترجیح دینا، حتیٰ کہ خود ضرورت میں ہونے کے باوجود۔

Explanation

In computer systems, especially Windows, a drive is represented by a letter followed by a colon, like C:, D:.

This notation is used to identify different storage locations or partitions.

Explanation

An if statement executes a single block of code only if the given condition is true.

It is a conditional control structure.

Explanation

• Prophet Musa (AS) is mentioned the most in the Quran.
• The name of Musa is mentioned 136 times in the Quran.

Explanation

Photosynthesis requires carbon dioxide, water, and sunlight, not oxygen.

Respiration, rusting, and combustion all need oxygen to occur.

Explanation

Water (H₂O) is a pure compound, not a mixture.

Tea, air, and alloys are mixtures of different substances.

Explanation

Play fast and loose means to behave irresponsibly or unreliably.

Fits the context of someone whose help cannot be trusted.

Explanation

The insoluble parts of cytoplasm are mainly the organelles, which include structures like the nucleus, mitochondria, ER, etc.

Mitochondria is a type of organelle, so the broader correct term is organelles.

Explanation

Micro molecules (or small molecules) have low molecular weight, like glucose or amino acids.

Macromolecules are large molecules like proteins, carbohydrates, and nucleic acids.