Explanation

The equations x = 3cos(t) and y = 3sin(t) are parametric equations of a circle with center at the origin (0, 0) and radius 3.

Explanation

MySQL, Microsoft Access, IBM DB2 are database management systems while Google is a search engine.

Explanation

The error is in the phrase "Rest since one week."

Corrected phrase: It should be "rest for the past week" or "rest for a week."

The phrase "since one week" is incorrect in English.

"Since" is used to refer to a specific point in time (e.g., "since Monday"), while "for" is used to refer to a duration (e.g., "for a week").

So the correct sentence should be: "Because of the cricket tournament and organizational work, I have hardly had any rest for the past week."

Explanation

• Nights are cooler in the deserts than in the plains because Sand radiates heat more quickly than the earth.
• Because deserts have such little water vapor in the air, it makes it harder to trap heat or cold in a desert.
• At night, the sun no longer heats the desert and the heat from the day doesn't stay trapped.
• Because of this, some deserts can get cold at night, dropping to below 40F, which is definitely coat weather.

Explanation

• Radioactivity was discovered by Henri Becquerel, a French physicist, in 1896.
• He discovered this when he was studying uranium and noticed that it emitted radiation without an external source of energy.
  
• The term radioactivity was coined by Marie Curie, who, along with her husband, investigated this phenomenon.
• Rutherford, a British physicist, studied the properties of radioactive decay and named the particles alpha, beta and gamma.

Explanation

sin^2 θ/2 = 1 - cos ^2 θ

Explanation

The pH of a buffer solution depends on the concentration of both the acid (H+) and its conjugate base (-OH-). A buffer solution is a mixture of a weak acid and its conjugate base, or a weak base and its conjugate acid. The pH of the solution is determined by the ratio of the concentrations of the acid and its conjugate base, as described by the Henderson-Hasselbalch equation: pH = pKa + log([base]/[acid])

Where:

• pH is the negative logarithm of the hydrogen ion concentration
• pKa is the acid dissociation constant
• [base] is the concentration of the conjugate base
• [acid] is the concentration of the acid

Therefore, the pH of a buffer solution depends on the concentration of both the acid (H+) and its conjugate base (-OH-).

Explanation

Explanation

• In atomic physics, the energy of an electron in an atom is quantized, meaning it can only take on specific discrete values.
• This is a fundamental principle of quantum mechanics, which states that energy is not continuous, but rather comes in small, discrete packets (quanta).
• The energy levels of electrons in an atom are determined by the solutions to the Schrödinger equation, and they are characterized by specific energy values, known as energy eigenvalues.
• These energy levels are quantized, meaning they can only take on specific values, and not any arbitrary value.

Explanation

• Testosterone is a steroid hormone that can cross the cell membrane and bind to intracellular receptors, specifically androgen receptors.
• This binding triggers gene transcription and protein synthesis, leading to various physiological responses.