Explanation

When throwing a die, there are 6 possible outcomes (1, 2, 3, 4, 5, 6).

When drawing a letter at random from the English alphabet, there are 26 possible outcomes (A, B, C, ..., Z).

Since the two events are independent, the total number of points in the sample space is the product of the two:

6 (die outcomes) × 26 (letter outcomes) = 156

Explanation

An order on a set "S" is typically denoted by the symbol "≤" (less than or equal to).

It representing a relation that establishes a sense of ordering between elements within the set. 

Explanation

Kaka is a former Brazilian football superstar who played as an attacking midfielder.

He is known for his time at AC Milan and Real Madrid.

He won the Ballon d'Or in 2007.

Explanation

Cabinet Mission was sent to India in February 1946.

They arrived in India on March 24, 1946.

The Cabinet Mission Plan was announced on May 16, 1946.

The plan was created by the Cabinet Mission, which was sent to India by British Prime Minister Clement Attlee to discuss transferring power from the British to the Indians.

The mission's members (3) were Lord Pethick-Lawrence, Sir Stafford Cripps, and A. V. Alexander.

Explanation

A preposition is typically followed by a noun or pronoun to complete its meaning.

Example: "She sat on the chair." — "on" (preposition) is followed by "the chair" (noun).

Explanation

To find the slope of the tangent to the curve y³x + y²x² = 6 at (2, 1), we'll use implicit differentiation:

Given: y³x + y²x² = 6

Differentiating both sides with respect to x:

y³ + x_3y²(dy/dx) + y²_2x + x²*2y(dy/dx) = 0

Rearranging terms to isolate dy/dx:

(3xy² + 2x²y)(dy/dx) = -y³ - 2xy²

dy/dx = (-y³ - 2xy²) / (3xy² + 2x²y)

Now, evaluating dy/dx at (2, 1):

dy/dx = (-(1)³ - 2_2_(1)²) / (3_2_(1)² + 2*(2)²*1)

= (-1 - 4) / (6 + 8)

= -5 / 14

Explanation

Explanation

Explanation

Explanation