List of top Mathematics Questions on Approximations asked in MET

The approximate value of $f(5.001)$, where $f(x)=x^3 - 7x^2 + 15$, is

If the solution of the differential equation \( \frac{dy}{dx} = ax + 32y + f \) represents a circle, then the value of \( a \) is

The velocity of a particle starting from rest is given in the table. The total distance travelled in 10 s, using Trapezoidal rule, is t (s) & 0 & 2 & 4 & 6 & 8 & 10
v (m/s) & 0 & 12 & 16 & 20 & 35 & 60
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There is an error of $\pm 0.04$ cm in the measurement of the diameter of a sphere. When the radius is 10 cm, the percentage error in the volume of the sphere is