Differentials and Linear Approximation — Engineering Board Exam Practice Questions

6 free engineering board exam reviewer questions on Differentials and Linear Approximation (Differential Calculus), each with the correct answer and a worked solution.

1. Use differentials to approximate 46°.
2. Use a linear approximation to estimate (1.98)3.
3. The edge of a cube is measured as 5 cm with a possible error of 0.1 cm. Estimate the percent error in the computed volume.
4. The radius of a circle is measured as 10 cm with a possible error of 0.2 cm. Estimate the maximum error in the computed area.
5. Use differentials to approximate sqrt(26).
6. If y=x3, find dy when x=2 and dx=0.1.