This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Solve Question 10. The trapezoidal rule approximates the area under a curve by dividing the region into trapezoids. Therefore, the primary assumption is that the area under the function can be approximated by trapezoids. The correct option is B. B) The area under f(x) can be approximated by trapezoids. Step 2: Solve Question 11. The integral is _0^2 2x^2 dx. The interval is [a, b] = [0, 2]. The number of subintervals is n=4. The width of each subinterval is $ x = (b-a)/(n) = (2-0)/(4)