Q3 of 52 Page 1

If f(x) = x + 1, find .

Given,

f(x) = x + 1

Therefore fof(x) = f[f(x)]

= f(x) + 1

= (x + 1) + 1

= x + 2

Differentiating with respect to x, we get,

As we know,

= 1x^1-1 + 0x^0-1

= 1x⁰ + 0x^-1

= 1 + 0

= 1

If and , then find the matrix A .

Write the order and the degree of the following differential equation:

If a line makes angles 90°, 135°, 45° with x, y and z axes respectively, find its direction cosines.

Find the vector equation of the line which passes through the point (3,4,5) and is parallel to the vector .

Find: