Video Example EXAMPLE 3 (a) Use the Midpoint Rule with n = 10 to approximate the integral 1 0 ex2 dx. (b) Give an upper bound for the error involved in this approximation. SOLUTION (a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.) 1 0 ex2 dx ≈ Δx[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)] = 0.1 e0.0025 + e0.0225 + e0.0625 + e0.1225 + e0.2025 + e0.3025 + e0.4225 + e0.5625 + e0.7225 + e0.9025

The distance from point a to point c across the coordinate plane is aproxamatly 8.94 rounded to the nearest hundredth. you use a^2 + b^2 =c^2

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )