Find the approximate value of f(3·02), up to 2 places of decimal, where f(x) = 3x² + 5x + 3.
Using differentials, find the approximate value of
If the radius of sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its surface area.
Show that the function f(x) = x³ – 3x² + 6x – 100 is increasing on R.
Show that the function f given by f(x) = tan⁻¹ (sin x+ cos x) is decreasing for all