Explanation

Explanation

Explanation

Explanation

To find the average rate of change:

Average rate of change = (f(3) - f(2)) / (3 - 2)

f(3) = 3^3 + 1 = 28

f(2) = 2^3 + 1 = 9

Average rate of change = (28 - 9) / 1 = 19

Explanation

To estimate the area under the graph of f(x) = x^2 in the interval [0,1] using a lower sum with two rectangles of equal width:

Width of each rectangle = (1 - 0) / 2 = 0.5

Rectangle 1: Height = f(0) = 0^2 = 0, Area = 0 * 0.5 = 0

Rectangle 2: Height = f(0.5) = 0.5^2 = 0.25, Area = 0.25 * 0.5 = 0.125

Total estimated area = 0 + 0.125 = 0.125

Explanation

Pepsin is a type of enzyme.

Correct sentence: Pepsin is an enzyme used in digestion.

پیپسن ایک انزائم ہے جو عمل انہضام میں استعمال ہوتا ہے۔

Explanation

Onslaught means a fierce or violent attack, which fits well with "by the enemy".

Onslaught means حملہ

Explanation

Skew lines are non-coplanar, do not intersect, and are not parallel.

They exist in 3D geometry, not lying in the same plane.

Explanation

Explanation

The derivative of 2^(-x) is -2^(-x) * ln(2), which can be written as -2⁻ˣ·log2 (considering log as ln or log base e implicitly in the derivative formula).