Explanation

The given inequalities define a region in the Cartesian plane:

a - δ ≤ x ≤ a + δ (horizontal bounds)

b - δ ≤ y ≤ b + δ (vertical bounds)

This region forms a square with:

Center at (a, b)

Side length of 2δ

The answer is A square.

Explanation

Since ln(x + 3) ≥ 0, we have:

x + 3 ≥ 1 (since ln(u) ≥ 0 when u ≥ 1)

x ≥ -2

Explanation

The hyperbolic tangent function tanh(y) is defined as:

tanh(y) = (e^y - e^(-y)) / (e^y + e^(-y))

Explanation

Ravenous means انتہائی بھوک یا لالچی

Voracious means ایک بہت بڑی بھوک یا کسی چیز کی خواہش کا ہونا

Explanation

Explanation

Explanation

Sedulity means کسی کے کام میں تندہی یا مستقل کوشش

Carelessness means توجہ یا کوشش کا فقدان

Explanation

Given y = x²/(1 + x²),

∫y dx = ∫[x²/(1 + x²)] dx = ∫[1 - 1/(1 + x²)] dx = x - arctan(x) + C.

Given ∫y dx = C + f, f = x - arctan(x).

x - 1 + 1/(x + 1)

Explanation

1. Leibniz’s theorem gives a formula to find the nth derivative of the product of two functions.

2. It uses the binomial expansion:

Explanation

Coerced means forced or pressured to do something against one’s will.

Sentence: "He was coerced to give this confessional statement." makes logical and grammatical sense.