Assignment:
Q1. Write the Taylor series with center zero for the function f(x) = In(1 + x2)
Q2. Compute the first-order partial derivatives of f(x, y) = 2x/ x - y
Q3. Evaluate the double integral ∫31∫10 (2x - 3y) dxdy
Q4. Calculate the divergence and curl of the vector field
F(x, y, z) = 2xi + 3yj – 4zk.
Provide complete and step by step solution for the question and show calculations and use formulas.