Explanation

According to BODMAS, brackets are solved first. So, the expression inside the brackets 

(3+2) will be solved first before proceeding with multiplication or addition.

Explanation

Change from direct to indirect speech:

"He said, 'Are you ready?'" → This is a question.

The reporting verb becomes "asked."

"Are you ready?" → "if I was ready" in indirect speech.

Explanation

 The Eclectic Method allows teachers to draw on various teaching approaches and techniques, depending on the lesson objectives and student needs

Explanation

An effective teacher often needs authority to maintain classroom control, but also flexibility to adapt to different teaching situations and students’ needs.

Explanation

 "Only" modifies the verb "read", so it is an adverb.

Explanation

In careful speech, speakers often separate "Next" and "please" due to the pause/comma.

So instead of linking sounds (as in connected speech), there's a separation or slight pause, which contrasts with natural connected flow.

Explanation

In non-rhotic accents, such as many British accents,

The "r" at the end of words like "car" is often not pronounced, leading to a pronunciation like "cah."

This is in contrast to rhotic accents (such as American English), where the "r" is pronounced clearly.

Explanation

Use integration by parts:
Let $u=x$, $dv=\cos (x)dx$

Then:

$$\int x\cos (x)dx=x\sin (x)-\int \sin (x)dx=x\sin (x)+\cos (x)$$

Evaluate from $0$ to π/2

$$= left( frac{pi}{2} cdot 1 + cosleft( frac{pi}{2} right) right) - left( 0 + cos(0) right) = frac{pi}{2} - 1$$

π/2​−1

Explanation

A matrix is symmetric if it is equal to its transpose. That means:

$$A = A^T$$

For this 3×3 matrix:

$$A = begin{bmatrix} 5 & x & 3 \ x & 7 & 2 \ 3 & 2 & 9 \ end{bmatrix}$$

We compare element aij​ with $a_{ji}$ The (1,2) element is $x$, and the (2,1) element is also $x$, so they're already equal.
Now, look at element (1,3), which is 3, and element (3,1), which is also 3 — so they match.
Now check (2,3) = 2 and (3,2) = 2 — they also match.

So, the matrix is symmetric if and only if:

• $x=x$ (always true)

• All off-diagonal symmetric pairs match

Given that, the matrix is symmetric already, but if in the original problem the matrix looked like this:

$$begin{bmatrix} 5 & x & 3 \ 11 & 7 & 2 \ 3 & 2 & 9 \ end{bmatrix}$$

Then, to make it symmetric:

• The element at (1,2) must equal the element at (2,1)

• So: $$x=11
  

Explanation

The Inductive Method starts with specific examples or observations and leads to the formation of a general principle or rule.

This approach is often used in language learning, where students observe language patterns before being taught the rules.