Explanation

• An environment consists of the surroundings, conditions, and influences—both biotic (living) and abiotic (non-living)
• Environment means ماحول

Last updated by NA on 25-April-2026

Explanation

• Pernicious means نقصاندہ
• Beneficial means فائدہ مند

Last verified on 11-05-2026

Explanation

Abridge means خلاصہ کرنا ۔ مختصر کرنا

Extend means توسیع

Explanation

Explanation

The phrase "accede to" means to agree or consent to a request or wish.

"My Friend will accede to my wishes in this matter."

میرا دوست اس معاملے میں میری خواہشات پر عمل پیرا ہوگا۔

Explanation

Succinct means جامع

Concise means جامع

Explanation

To integrate √(2x + 1), we can use the power rule of integration and the chain rule.

Let u = 2x + 1, then du/dx = 2, and du = 2dx.

∫√(2x + 1) dx = (1/2) ∫u^(1/2) du

= (1/2) (2/3) u^(3/2) + C

= (1/3) (2x + 1)^(3/2) + C

Explanation

Given:

y=2x^2−13x+5

Differentiate:

dy/dx​=4x−13

For slope $=-1$:

$$4x-13=-1$$ $$x=3$$

At $x=3$:

y=2(3)^2−13(3)+5=−16

So the point of contact is (3, −16).

The tangent equation:

$$y+16=-(x-3)$$

y=−x−13

Explanation

Calculation:

• Current total age = 80 years

• Three years ago, each person was 3 years younger.

• Since there are three people, the total reduction in age is $3\times 3=9$ years.

So, the total of their ages three years ago is:

$$\mathrm{<b><font\; color="\#0000ff">80</font></b>}<b><font\; color="\#0000ff">-</font></b>\mathrm{<b><font\; color="\#0000ff">9</font></b>}<b><font\; color="\#0000ff">=</font></b>\mathrm{<b><font\; color="\#0000ff">71</font></b>}\text{<b><font color="\#0000ff"> years</font></b>}$$

Explanation