Explanation

In the expression ln (𝑎^𝑛), 𝑛 is called the exponent.

Here’s a breakdown:

• ln denotes the natural logarithm function, which uses the base e(where e≈2.718).
• 𝑎 is the base of the exponentiation. 
• n is the exponent, which tells you how many times a is multiplied by itself.

Explanation

To calculate the exercise duty at a rate of 150% on an amount of Rs 3,00,000, you need to follow these steps:

Understand the Rate: The rate of 150% means you need to calculate 150% of Rs 3,00,000.

Convert the Percentage to a Decimal: 150% can be written as 1.5 in decimal form.

Multiply the Amount by the Rate:

Exercise Duty=Amount×Rate

Exercise Duty=3,00,000×1.5

Exercise Duty=4,50,000

Explanation

1: Divide 1.14 by 1.90:

1.14/ 1.90  ≈0.600

2: Multiply the result by 100 to convert it to a percentage:

0.600×100=60%

Explanation

The median of a data set is the middle value when the values are written in numerical order.

Explanation

In Newton's divided difference interpolation method, the independent variables are at unequal intervals.

Thus, in this method, the variation in function f(x) and the variation in x are considered

Explanation

Explanation

Explanation

The equation of the type $y = x frac{dy}{dx} + f frac{dy}{dx}$  can be identified by comparing it to the differential equation form:

$y = x frac{d^2y}{dx^2} + f frac{dy}{dx}$

In this form, the equation involves both the second derivative $frac{d^2y}{dx^2}$ and the first derivative $frac{dy}{dx}$ with coefficients $x$ and $f$ respectively.

Therefore, among the options provided, the equation that fits this type is:

$y = x frac{d^2y}{dx^2} + f frac{dy}{dx}$

This equation indicates a relationship where $y$ is expressed as a combination involving both $frac{d^2y}{dx^2}$ and $frac{dy}{dx}$, with coefficients $x$ and $f$ respectively.

Explanation

Explanation