Explanation

Step 1: Convert binary numbers to decimal for easier calculation

(101)2 = 1 × 2^2 + 0 × 2^1 + 1 × 2^0 = 4 + 0 + 1 = 5

(110)2 = 1 × 2^2 + 1 × 2^1 + 0 × 2^0 = 4 + 2 + 0 = 6

Step 2: Add the decimal values

5 + 6 = 11

Step 3: Convert the sum back to binary

11 = 8 + 2 + 1 = 2^3 + 2^1 + 2^0 = (1011)2

Explanation

LCM of two prime numbers is their product, since they have no common factors other than 1.

So, LCM(a, b) = a × b when both a and b are prime.

Explanation

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

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

Explanation

A small standard deviation means the data is tightly clustered around the mean.

This results in a less spread out (narrower) normal distribution curve.

Explanation

A critical point occurs where the derivative of a function is zero or does not exist.

These points are important for finding local maxima, minima, or points of inflection.

Explanation

The energy density (u) in a capacitor is given by:

u = ½ε₀E²

Where:

- ε₀ is the permittivity of free space

- E is the electric field intensity between the plates

This shows that the energy density is proportional to the square of the electric field intensity (E²).

Explanation

The kinetic energy (KE) of an electron in the nth orbit is given by:

KE = 1/2mv²n

Where m is the mass of the electron and vn is its velocity in the nth orbit.

Explanation

To find the median, let's arrange the weights in order:

27, 29, 30, 32, 33, 35, 37, 47, 48

Since there are 9 values (an odd number), the middle value is the median:

The median is the 5th value: 33

Explanation

Tremble means غیر ارادی طور پر ہلانا

Shake means غیر ارادی طور پر ہلانا

Explanation

Magnetic induction 𝐵 represents the amount of magnetic flux passing per unit area — hence called magnetic flux density.

It is measured in tesla (T) in the SI system.