It appears that you've uploaded a calculus assignment booklet for the course BMTC-131. The assignment contains multiple problems on topics such as differentiability, curve tracing, inflection points, Rolle's theorem, integration techniques, and Maclaurin series.

Would you like me to assist you with any specific problems from this assignment? Feel free to let me know which ones you need help with.

Here are 5 related questions that expand on the content of your document:

1. How do you determine if a function is odd or even?
2. What is the geometrical interpretation of Rolle's theorem?
3. How is Simpson's method applied to approximate definite integrals?
4. What is the difference between the Trapezoidal Rule and Simpson's Rule for integration?
5. How do you compute the length of a curve parametrically?

Tip: For any curve-related problem, always check for key points like intercepts, asymptotes, and symmetry before attempting a full sketch.